Answers
Answer:
z = 6
Step-by-step explanation:
The angle in the middle is a right angle with a measure of 90°
Together, all three angles, makes a stright angle which is measured 180°.
So we can write the following equation to find the value of z:
5z + 1 + 59 = 90 (we don'thave to include the middle angle since we already its measure)
add like terms
5z + 60 = 90 subtract 60 from both sides
5z = 30 divide both sides by 5
z = 6
Related Questions
Can someone please help me with this geometry question
Answers
Answer:
Step-by-step explanation:
An electrician has a 16 foot spool of wire and he needs to cut an 11 foot, 4 inch piece from the spool to make a repair. How many inches of wire will he have left on a spoop after he makes the repair
Answers
The inches of wire that he will have left on a spoop after he makes the repair is 4 2/3 feet.
How to calculate the fraction?From the information, the electrician has a 16 foot spool of wire and he needs to cut an 11 foot, 4 inch piece from the spool to make a repair.
Therefore, the inches of wire that he will have left will be:
Note that 1 feet = 12 inches
11 foot 4 inches = 11 4/12 = 11 1/3
The amount left will be:
= 16 - 11 1/3
= 4 2/3 feet.
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나무
7 1
al
117)
10) The level of water in a pail has changed by -7 in. from the original water level.
If the original level was 23 3/8 in., what is the current water level?
Answers
What is the value of 6a + 9b?
Answers
Step-by-step explanation:
Simplifying
6a + -9b = 0
Solving
6a + -9b = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '9b' to each side of the equation.
6a + -9b + 9b = 0 + 9b
Combine like terms: -9b + 9b = 0
6a + 0 = 0 + 9b
6a = 0 + 9b
Remove the zero:
6a = 9b
Divide each side by '6'.
a = 1.5b
Simplifying
a = 1.5b
Please help me, it's due today!
Answers
Answer:
I believe it is -123
Step-by-step explanation:
you have to replace all the x's with -4 so you would do the equation -6(-4)^2+8(-4)+5
-6(-4)^2 is -96
-96+8(-4) is -128
-128+5 is -123
Step-by-step explanation:
-6(-4)^2+8(-4)+5
-6(-4)^2 iS -96
-96+8(-4) iS -128
-128+5 iS -123
Write an absolute value equation from the solutions -5 and 7.
Answers
A monkey can eat 24 pieces of fruit in 12 hours.
The equation y = 2x can be used to represent
this situation. What is the constant of
proportionality? What does the constant of
proportionality represent in the context of the
problem?
Answers
The constant of proportionality for the equation y = 2x is k = 2.
The number of pieces of fruit the monkey can eat is two times the amount of time the monkey takes.
The equation y = 2x can be used to represent a monkey eating 24 pieces of fruit in 12 hours.
The constant of proportionality, which is a fixed value that represents the rate at which two or more ratios rise or decrease, is used to compare them. The result of dividing the denominator by the numerator when a ratio is expressed as a fraction is the constant of proportionality.
When a ratio is expressed as a fraction, the constant of proportionality is found by dividing the denominator by the numerator. The constant of proportionality, k, can be calculated from the equation if x is the ratio's numerator and y is its denominator.
k = y/x
Therefore, the constant of proportionality in this case is:
y = 2x
k = y/x = 2
The constant of proportionality in this case represents that the number of pieces of fruit a monkey eats is two times the amount of time the monkey takes.
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In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order from the white balls (1 through 43) and matching the number on the gold ball (1 through 31). If one ticket is purchased, what is the probability of winning the jackpot?
Answers
Peyton needs to order some new supplies for the restaurant where she works. The restaurant needs at least 732 forks. There are currently 287 forks. If each set on sale contains 10 forks, write and solve an inequality which can be used to determine x, the number of sets of forks Peyton could buy for the restaurant to have enough forks.
Answers
If Peyton needs to order some new supplies for the restaurant where she works. The restaurant needs at least 732 forks. the number of sets of forks Peyton could buy for the restaurant to have enough forks is 44.5.
Number of set of forkLet x represent the number of sets of forks
Formulate the inequality
287 + 10 × x = 732
Hence,
10x = 732 -287
10x = 445
Divide both side by 10x
x = 445/10
x = 44.5
Therefore we can conclude that 44.5 represent the number of the set of forks that could be bought.
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F(x)=2x-2, find f(-3)
Answers
Answer:
F (-3) = -8
Step-by-step explanation:
We start by substituting x = -3 into F (x) = 2x - 2
That gets us to: F ( -3) = 2 * (-3) - 2
Then we calculate the equation, bringing us to:
F (-3) = -6 - 2
When we add -6 + -2 we get: F (-3) = -8
If x² = 16, find x³.
Answers
Answer:
64
Step-by-step explanation:
If x² = 16, x is the square root of 16.
Therefore, x = 4
Now plug x in:
x³ = 4³ = 64
X^2 =16 , X is the square root of 16
X=4
Then you plug it in
X^3=4^3 =64
I need help with my practice starr
Answers
Is valid proportion here
(10 + 5 )/ 18 = 10/d
then find d
d= 18• 10/ (10+5)
d= 180/15 =
d= 12
Then answer is
d = 12 mm
Complete the square to solve the equation below.
X²+10x-13 17
O A. x= 4+ √√30; x = 4 - √30
OB. x= -10 + √55; x = -10 - √55
C. x = 5 + √√29; x = 5-√√√29
OD. x= -5+ √55; x = -5- √55
Answers
Answer:
D
Step-by-step explanation:
...................
The solutions to the quadratic equation x² + 10x - 13 = 17 are x = -5 + √55 and x = -5 - √55. The correct answer is option D.
The quadratic equation is given as:
x²+10x-13 =17
Move the constant term to the right side of the equation:
x² + 10x - 13 - 17 = 0
x² + 10x - 30 = 0
Take half of the coefficient of the x-term (10) and square it: (10/2)² = 25.
Add the squared value to both sides of the equation:
x² + 10x + 25 - 30 = 25
(x + 5)² - 30 = 25
Simplify the equation:
(x + 5)² = 25 + 30
(x + 5)² = 55
Take the square root of both sides of the equation:
√((x + 5)²) = ±√55
x + 5 = ±√55
Solve for x by subtracting 5 from both sides:
x = -5 ± √55
Therefore, the solutions to the equation x² + 10x - 13 = 17 are:
x = -5 + √55 and x = -5 - √55.
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I do not understand this can someone please help?
Answers
Answer:
1. x = 18
2. x = 154
Step-by-step explanation:
2 12
------- = -------
3 x
3 × 12 = 36
2 × x = 2x
36 = 2x
÷2 ÷2
---------------
x = 18
----------------------------------------------------------------------------------------------------------
6 84
------- = -------
11 x
6 × x = 6x
84 × 11 = 924
6x = 924
÷6 ÷6
-----------------
x = 154
I hope this helps!
3430
3. A price increased by 18.2%. How could you write the new amount
as a percentage of the price before the increase?
Answers
The new amount as a percentage of the price before the increase is =[tex]\frac{118.2x}{100}[/tex]
What is percentage?The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.
Let, the odd price be x then
we can write the new amount as a percentage of the price before increasing as
x ×[tex]\frac{(100+18.2)}{100}[/tex]
=[tex]\frac{118.2x}{100}[/tex]
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which expression is equivalent to 36+26
Answers
We can try to write the expression 36+26 taking a common factor, so:
[tex]\begin{gathered} 36\text{ and 26 are even numbers, so we can take 2 as common factor:} \\ 36+26=2\cdot(18+13) \end{gathered}[/tex]The option B is the correct answer.
nees helo on thus pl6
Answers
Assest
Cash = 39000
Owned land = 460000
Savings land = 207000
Jewerly = 3000
Total assests = 39000+460000+207000+3000
Total assests = 709000
Liabilities
Bank loans = 350000
Student loan debt = 25000
Total liabilities = 350000+25000
Total = 375000
Net worth = Total assets - Liabilities
Net worth = 709000 - 375000
Net worth = $334,000
What is the measure of angle LJK? Round to the tenths.
Answers
Answer:
90 degrees
Step-by-step explanation:
We can take a look at that each these triangles are in truth right triangles, seeing that the two angles of and both have measures of 90 degrees.
The equation 32 = 4 x 8 can mean (fill in the bubble beside every true statement):
32 is 4 times as many as 8
O 32 is 4 less than 8
32 is 8 times as many as 4
32 is twice as much as 4 x8
Answers
Answer:
A) 32 is 4 times as many as 8
C) 32 is 8 times as many as 4
Step-by-step explanation:
8x4=32
4×8=32
pls help me with my question
Answers
Given the figure of an object consists of a cylinder and a rectangular prism.
We will find the volume of the cylinder using the following formula:
[tex]V=\pi r^2h[/tex]As shown, the diameter of the base = d = 3 ft
So, the radius = r = d/2 = 3/2 = 1.5 ft
And the height = h = 4 ft
Use π = 3
so, the volume of the cylinder will be as follows:
[tex]V=3*1.5^2*4=27\text{ }ft^3[/tex]Now, we will find the volume of the rectangular prism using the following formula:
[tex]V=l*w*h[/tex]As shown, the length = l = 7 ft
The width = w = 4 ft
The height = h = 4 ft
So, the volume of the rectangular prism will be as follows:
[tex]V=7*4*4=112\text{ }ft^3[/tex]So, the total volume of the object will be =
[tex]27+112=139\text{ }ft^3[/tex]So, the answer will be V = 139 ft³
....................
Answers
1220 km apart
rates
320 km/ hr
290 km/hr
___________________________________
x= t* rate
t = time in hours
x = distance in km
__________________
total distance = t1 * 320 Km/h + t2* 290 km/h
because they started at the same time
Total distance = 1220 km = t * 320 Km/h + t* 290 km/h
1220 = (320 + 290 ) t
1220 = 610 t
t = 1200/ 610
t = 2 hours
_______________________--
Answer
2 hours
Adam is baking 4 pizzas. Each pizza is a rectangle. It takes Adam 35 minutes to bake the pizzas. He divides each pizza into the equal-size square slices shown.
Adam multiplies to find the total number of square Slices for each pizza.
For each pizza tell the factors Adam multiplies .
Answers
For Pizza 1, Adam multiplies 6 by 6 slices
For Pizza 2, he multiplies 6 by 7 slices
For Pizza 3, he multiplies 4 by 7 slices, while
for Pizza 4, he multiplies 4 by 8 slices.
What is multiplication?A product is the outcome of multiplication or an expression that indicates factors to be multiplied in mathematics.
To put it another way, we may deduce that in math, multiplying implies adding equal groups.
The number of items in the group grows as we multiply. A multiplication issue includes the two elements and the product. The factors in the multiplication problem, 4 7 = 28, are the numbers 4 and 7, while the result (product) is the number 28.
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8 Five negative numbers are shown below. -2.5, -1į, -, -3, -30% Which list shows the numbers in order from least to greatest? (8.1B, 8.1F) F -2.5, -12, 3 4 -30%, -310 -13, -2.5, -31 3 G -30%, - 4' 10 Alw H -310, -30%, -2.5, -11, J-310,-2.5, -1 -2.5, -12, J 3 -- -30% 1 4
Answers
The given numbers are :
[tex]-2.5,\text{ -1}\frac{1}{2},\text{ }-\frac{3}{4},\text{ -3}\frac{1}{10},\text{ -30\%}[/tex]Simplify each term into decimal form :
- 2.5 = - 2.5
Now simplify the second term : -1 1/2
[tex]\begin{gathered} -1\frac{1}{2}=-\frac{1\times2+1}{2} \\ -1\frac{1}{2}=-\frac{3}{2} \\ -1\frac{1}{2}=-1.5 \end{gathered}[/tex][tex]-\frac{3}{4}=-0.75[/tex][tex]\begin{gathered} -3\frac{1}{10}=-\frac{3\times10+1}{10} \\ -3\frac{1}{10}=-\frac{30+1}{10} \\ -3\frac{1}{10}=-\frac{29}{10} \\ -3\frac{1}{10}=-2.9 \end{gathered}[/tex][tex]\text{ -30 \% = 0.3 \%}[/tex]So, the numbers are :
[tex]-2.5,\text{ -1}\frac{1}{2},\text{ }-\frac{3}{4},\text{ -3}\frac{1}{10},\text{ -30\%}[/tex]Thus, we get :
[tex]\begin{gathered} -2.5=-2.5 \\ -1\frac{1}{2}=-0.5 \\ -\frac{3}{4}=-0.75 \\ -3\frac{1}{10}=-2.9 \\ -30\text{ \%=- 0.3} \end{gathered}[/tex]The greater is the number with the neagtive sign least is the number,
So, the greatest number - 2.9 < - 2.5 < - 0.75 < - 0.5 < -0.3
Arrange of these number from least to greatest :
[tex]\begin{gathered} -2.9<-2.5<-0.75<-0.5<-0.3 \\ \text{ Since : - 1.5=}\frac{3}{2} \\ -0.75\text{ = }-\frac{3}{4} \\ -2.9=-3\frac{1}{10} \\ \text{- 0.3}=\text{ -30 \% } \end{gathered}[/tex]No comapre :
-2.9 < - 2.5 < - 0.75 < - 0.5 < -0.3
[tex]-3.1<-2.5<-0.75<-1.5<-0.3=-3\frac{1}{10}<-2.5<-1\frac{1}{2}<-\frac{3}{4}<-\text{ 30\%}[/tex]Answer : d)
[tex]-3\frac{1}{10}<-2.5<-1\frac{1}{2}<-\frac{3}{4}<-\text{ 30\%}[/tex]
Suppose the monthly charges for cell phone plans are normally distributed with mean and standard deviation $.(a) Draw a normal curve with the parameters labeled.(b) Shade the region that represents the proportion of plans that charge than $.(c) Suppose the area under the normal curve to the of X$ is 0.1587. Provide an interpretation of this result.
Answers
SOLUTION
(a) From the information given in the question,
We will select a curve with 58 at its center which represents the mean and
[tex]\begin{gathered} 58-17=41 \\ 58+17=75 \end{gathered}[/tex]41 and 75 at the left and right sides. That is gotten by subtracting and adding the standard deviation of 17.
Hence the answer is Graph D
(b) The region that represents less than 41 is seen in graph B
Hence graph B is the answer
(c) Option A
The probability is 0.1587 that a randomly selected cell phone plan in this population is less than $41 per month
5 plus twice a number
Where “a number” is the letter x
Answers
Answer:
5 + 2x
Since 2 times a number is multiplication we make it 2x
Muskco gave 88 people a bonus. If Muskco had given 4 more people bonuses, Muskco would have rewarded 2 over 3of the work force. How large is Muskco's work force
Answers
The amount of Muskco's work force that he has in his business is; 138 people
How to solve Algebra Word Problems?We are told that Muskco gave 88 people a bonus. Now, we are further told that if he had given 4 more people bonuses, then it means he would have rewarded two thirds of his workforce.
Thus we can begin too solve this problem to find the size of Muskco's work force by;
Let the total number of his workforce be denoted as x. Then the algebraic equation for this problem would be expressed as;
88 + 4 = (2/3)x
Simplify by adding up the left hand side values to get;
(2/3)x = 92
Use multiplication property of equality to Multiply both sides by 3 to get;
2x = (92 * 3)
2x = 276
Now, use division property of equality to divide both sides by 2 to get;
2x/2 = 276/2
x = 138
Thus, we would conclude from the calculations as seen in the above that the size of Muskco's workforce is 138 people.
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Vec a and vec b are two unit vectors. If vec 5a + vec 3b and vec a- vec b are perpendicular to each other, find the angle between a and b.
Answers
[tex]\vec{a}[/tex] and [tex]\vec{b}[/tex] are two unit vectors. If [tex]\vec{5a} + \vec{3b}[/tex] and [tex]\vec {a} - \vec {b}[/tex] are perpendicular to each other, then the angle between a and b is ( 2n + 1)π/2.
As given in the question,
Given two unit vectors are : [tex]\vec{a}[/tex] and [tex]\vec{b}[/tex]
|a| = 1 and |b| = 1
Vectors which are perpendicular to each other are :
[tex]\vec{5a} + \vec{3b}[/tex] and [tex]\vec {a} - \vec {b}[/tex]
( [tex]\vec{5a} + \vec{3b}[/tex] ). ( [tex]\vec {a} - \vec {b}[/tex] ) = 0
⇒ 5|a|² -2a.b - 3|b|² = 0
⇒ 5(1)² - 2a.b - 3(1)² = 0
⇒ 5 - 2a.b - 3 = 0
⇒ 2[tex]\vec{a}[/tex].[tex]\vec{b}[/tex] = 2
⇒ [tex]\vec{a}.\vec{b}[/tex] = 1
Let θ be the angle between two vectors
|a||b|cosθ = 1
⇒ (1)(1)cosθ = 1
⇒cosθ = 1
⇒θ = (2n+1)π/2
Therefore, [tex]\vec{a}[/tex] and [tex]\vec{b}[/tex] are two unit vectors. If [tex]\vec{5a} + \vec{3b}[/tex] and [tex]\vec {a} - \vec {b}[/tex] are perpendicular to each other, then the angle between a and b is
( 2n + 1)π/2.
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The membership of a gym from 2000 to 2017 is given by the function:
M(x)= 180x + 125
where M is the number of members and x is the number of years after 2000 (when the gym was
founded). Show your work to receive credit. (6)
a)
What was the membership of the gym in 2007?
Answers
The membership of the gym after 7 years is 1385 .
What is a function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable ). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
Given: The function : M(x)= 180x + 125
where x is the number of years so in this case we have to find the value of M when x= 7 years
Thus the given function on substituting the value becomes
M (7)= 180× 7 + 125
= 1385.
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Quadrilateral A B C D is shown. The uppercase right angle, angle A, is 79 degrees.
What are the remaining angle measures if the figure is to be a parallelogram?
m∠B =
°
m∠C =
°
m∠D =
Answers
For Quadrilateral A B C D as shown the remaining angle measures if the figure is to be a parallelogram ∠B=∠D=101° ∠C = 79
This is further explained below.
What is a parallelogram?A parallelogram is a basic quadrilateral in Euclidean geometry that has two pairs of sides that are parallel to one another.
The sides that are perpendicular to one another, also known as facing sides, of a parallelogram, have the same length, and the angles that are perpendicular to one another have the same measure.
In most cases, a parallelogram will have two sets of parallel opposing sides. The angles that are diagonal to it are likewise equal.
When angle A is given as 79 degrees and the parallelogram ABCD is used, the remaining angles may be obtained as follows:
Angle A is diametrically opposed to angle C.
[tex]\angle A$ is opposite to $\angle C \\\\\angle A=\angle C \\\\\angle C=79^{\circ}[/tex]
Hence ∠C=79°
Because it is a parallelogram, the two remaining angles are complementary to one another and have the same degree:
[tex]\angle B=\angle D\\\\=0.5\left(360^{\circ}-2 \times 79^{\circ}\right)[/tex]
<B=101
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Kanesha is making scented candles to sell at the craft fair. she buys a 5 pound package of candle wax, a package of 12 small candle tins that each have volume of 4 ounces and the package of 12 medium candle tins that each have a volume of 6 oz. Kanesha knows that 1 lbs of candle wax will fill 20 oz in volume.assuming kanesha sells all of the scented candles she makes how many candle tins of each size should she use in order to maximize the amount of money she will earn at the craft fair...____ small 4 oz candles____ medium 6 oz candleswhat is the maximum amount of money she will earn in the craft fair?
Answers
Kanesha is making scented candles to sell at the craft fair. She buys a 5-pound package of candle wax, a package of 12 small candle tins that each have a volume of 4 ounces and the package of 12 medium candle tins that each have a volume of 6 oz. Kanesha knows that 1 lb of candle wax will fill 20 oz in volume.
Assuming Kanesha sells all of the scented candles she makes how many candle tins of each size should she use in order to maximize the amount of money she will earn at the craft fair...
____ small 4 oz candles
____ medium 6 oz candles
what is the maximum amount of money she will earn in the craft fair?
________________________________________
1 lb of candle wax will fill 20 oz
She buys a 5-pound package, therefore, she will fill 20*5= 100 oz
Tin size S small (4 oz ) and M medium (6 oz)
S*4 + M*6 = 100
S*7.5 + M*9 = amount of money
_____________________
S*4 + M*6 = 100
4 S = 100 - 6M
S= 100/4 -6/4M
S= 25 -3/2M
Replacing
(25 -3/2M )*7.5 + M*9 = amount of money
187.5 - 11.25M + 9M = amount of money
187.5 - 2.25M = amount of money
According to the expression, the fewer medians sell, the higher the income will be.
Reviewing the candle values by ounces used.
7.5/ 4 = 1.875 sale price / oz
9.0/6 = 1.5 sale price / oz
_____________________________
Therefore, in order to maximize the profit, it would be necessary to make as many small ones as possible, that is, 12.
12* 4 oz = 48
100- 48 = 52
what is left after using the 4 oz tins can be used in the medium candles
52/ 6 = 8
___________________________________
Answer
Assuming Kanesha sells all of the scented candles she makes how many candle tins of each size should she use in order to maximize the amount of money she will earn at the craft fair...
__12__ small 4 oz candles
___8_ medium 6 oz candles