Answer:
56.4 degrees
Step-by-step explanation:
You can make a right-angle triangle from the isosceles triangle, with height 2.5cm and hypotenuse 3cm.
You have the opposite side to the angle and the hypotenuse, so you use sin x = Opposite/Hypotenuse
sin x = 2.5/3
x = [tex]sin^{-1}[/tex] (2.5/3)
x = 56.44269024
Therefore the base angle of the triangle is 56.4 degrees (3sf)
please help! math question for college algebra mth 107!
Answer:
Local Minimum: (-2.5, -2), (0, -2)
Local Maximum: (1, 2)
Find the values of x,y, and z.
guys please help me. I missed a class and can't find the video to help me solve this
Answer:
x = 7.2 , y = 57 , z = 10.8
Step-by-step explanation:
the sum of the 3 angles in the outer triangle = 180° , that is
y + 88 + 35 = 180
y + 123 = 180 ( subtract 123 from both sides )
y = 57
------------
the outer and inner triangles are similar ( AA postulate ) then the ratios of corresponding sides are in proportion, that is
[tex]\frac{x}{12}[/tex] = [tex]\frac{9}{9+6}[/tex] = [tex]\frac{9}{15}[/tex] ( cross- multiply )
15x = 108 ( divide both sides by 15 )
x = 7.2
and
[tex]\frac{z}{18}[/tex] = [tex]\frac{9}{15}[/tex] ( cross- multiply )
15z = 162 ( divide both sides by 15 )
z = 10.8
1. Jackie's balance at the beginning of October was $432.23. During that month she made
deposits totaling $752.34, wrote checks totaling $532.13, paid a maintenance fee of $11, and
earned $3.42 in interest on the account. What was the balance at the end of the month?
Based on the beginning balance to Jackie's account and the deposits as well as the checks written, the balance at the end of the month was $644.86
How to find the balance at the end of the month?At the end of the month, the simple formula to determine Jackie's balance is:
= Beginning balance + Cash inflows - Cash outflows
This means that to calculate the balance on Jackie's account at the end of October gives:
= Beginning balance + Deposits + Interest earned - Checks written - maintenance fee
= 432.23 + 752.34 + 3.42 - 532.13 - 11
= $644.86
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A water desalination plant can produce 2.6 x 10^6 gallons of water in one day. How many gallons can it produce in 6 days? Write your answer in scientific notation.
Amount of water produced in 6 days is 15.6×10⁶.
We will simply perform multiplication to find the amount of water produced in 6 days.
Amount of water produced in 6 days = amount of water produced in one day × 6
Amount of water produced in 6 days = 2.6×10⁶×6
Performing multiplication to find the amount of water produced in 6 days
Amount of water produced in 6 days = 15.6×10⁶
The answer is in scientific notation as 15.6 is coefficient, 10 is base and 6 is exponent. Therefore, amount of water produced by plant in 6 days is 15.6×10⁶.
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a soda company had sales of $35,109 million in 2010 and $45,984 million in 2014. use the midpoint formula to estimate the sales in 2012. assume that the sales followed a linear pattern.
The sales in 2012 is estimated to be $40546.5 million if we use the midpoint formula assuming that the sales followed a linear pattern.
Midpoint is a term used in geometry and can be described as the center or middle point of a line segment. It enables you to take two endpoints, and then by using these endpoints you can find the point that is midway between them in the line segment.
Considering,
[tex]P_{1} = (x_{1},y_{1})[/tex]
[tex]P_{2} = (x_{2},y_{2})[/tex]
Here;
[tex]x_{1}[/tex] = 2010
[tex]x_{2}[/tex] = 2014
[tex]y_{1}[/tex] = $35,109 million
[tex]y_{2}[/tex] = $45,984 million
The formula for the midpoint is given as;
[tex]P_{m}[/tex] = {( [tex]x_{1} + x_{2}/2[/tex] ), ( [tex]y_{1} + y_{2} / 2[/tex] )}
[tex]P_{m}[/tex] = {(2010 + 2014 / 2), (35109 million + 45984 million / 2)}
[tex]P_{m}[/tex] = {(4024 / 2), (81,093 million / 2)}
[tex]P_{m}[/tex] = {2012 , 40546.5 million}
Therefore, the sales in 2012 are calculated to be $40546.5 million by using the midpoint formula.
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A lifeguard spots a swimmer in the lake at an angle of depression
of 32°. He spots a sailboat, further out, at an angle of depression of 13°. If the lifeguard is 36.5 dm away from the swimmer and 84.7 dm away from the sailboat, how far is the swimmer from the sailboat? Round your answer to the nearest tenth of a dm
Help me please! thank you
Swimmer is 47 dm away from the sailboat.
The mentioned problem will use cosine trigonometric functions to find the distance between swimmer and sailboat. Assuming the distance between lifeguard and swimmer be x and the distance between lifeguard and sailboat be y.
Taking the triangle between swimmer and lifeguard -
cos theta = base/hypotenuse
cos 32 = x/36.5
x = 0.8×36.5
x = 29.2 dm
Taking the triangle between lifeguard and sailboat -
cos 13 = y/84.7
y = 0.9×84.7
y = 76.23 dm
Therefore, the distance between sailboat and swimmer is y - x
Distance = 76.23 - 29.2
Performing subtraction
Distance = 47.03 dm
Round to nearest tenth
Distance = 47 dm
Thus, the sailboat and swimmer are 47 dm apart.
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Theo is going on holiday across Europe and needs to change pounds into other currencies.
Ai) 5575 Swedish kronor 500*11.15
Aii) 312.50 swiss frans 250*1.25
B) £345 407.10/1.18
Hope this helps, have a great day!!
angle M measures 13°.
(a) Find the supplement of angle M.
(b) Find the complement of angle M.
(a) The supplement of angle M is ?
As a result, angle M's supplement is 167 degrees, while angle M's complement is 77 degrees.
What are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees. If the two additional angles are combined, they create a straight line and an angle.
What are complementary angles?Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.
So as per the given information:
we know that
a). 180-angle M=supplement of angle M
180-13=167 degree
b). 90-angle M=compliment of angle M
=77 degree
Therefore, the supplement of the angle M is 167 degree and the complement of angle m is 77 degree.
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You are making a colorful cake for a birthday party and need to use 2 drops of food coloring for every 5 ounces of icing. How many drops of food coloring do you need if you are using 40 ounces of icing?
Answer: 16 drops
Step-by-step explanation: For every 2 drops is 5 ounces. We can set up an equation such as: 2/5*8/8=16/40. If you divide 40/5 you get 8, and now multiply by 2, you get 16.
Find an equation for the line below
y=−0.2x+2.2 is the equation of line from the given graph .
How to find the equation of line ?In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, you must first determine the slope and y-intercept. The slope is the ratio of the change in y to the change in x.
Calculation(-4 , 3 ) and ( 6 ,1 )
these are two points we will use to find the equation of the line
Slope is -0.2
Intercept is 2.2
y=−0.2x+2.2 is the equation of line
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12x=12x+3 solve for x step by step!!
answer:
I hope the solution is helpful.
Kaj is 1.55 meters tall at 11 am she measures the length of a trees shadow to be 26.15 meters and she stands 22 meters away from the tree so the tip of her shadow meets the tip of the trees shadow find the hight of the tree round to the nearest hundredth
Answer: 9.77 m
Step-by-step explanation:
xyz
Please answer the question in the photo for a Brainliest
Evaluate this expression:
| b + 1 | + 8
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:\pm b + 9 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The given expression is :
[tex]\qquad \tt \rightarrow \: |b + 1| + 8[/tex]
[tex]\qquad \tt \rightarrow \: |b| + 1 + 8[/tex]
[ as 1 is a positive number, it can come out of modulus function as it is ]
[tex]\qquad \tt \rightarrow \: |b| + 9[/tex]
Now, there are two cases possible.
Case 1 :
[tex]\qquad \tt \rightarrow \: b + 9[/tex]
[ if b is a positive number, it will come out of modulus as it is ]
Case 2 :
[tex]\qquad \tt \rightarrow \: - b + 9[/tex]
[ if b is a negative number, it will come out of modulus with a negative sign, to make the overall term out of modulus positive ]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
I need help please on this it is very hard for me
Answer:
Below in bold.
Step-by-step explanation:
3/20
We divide 3 by 20:-
3 / 20 = 0 so we divide 30 by 20 and proceed as below:
20)3.00 ( 0.15
20
100
100
......
The answer is 0.15 which is terminating.
5/11
If we divide as above we get 0.45454545....
The 45 keeps repeating
2/15
Dividing gives 0.133.........
Repeating
7/8 = 0.875
terminating.
9/16
= 0.5625
terminating.
Answer:
3/20 = 0.15 (Terminating)
5/11 = 0.45454 (Repeating)
2/15 = 0.13333 (Repeating)
7/8 = 0.875 (Terminating)
9/16 = 0.5625 (Terminating)
Explanation:
The definition of Terminate means to bring to an end. This would also apply to the decimals. To find whether a fraction is terminating or not, is to simply divide and you will get a decimal, unless it is mixed fraction. Terminating will bring an end, Ex: 1/2 ( 1 ÷ 2 ) which would equal = 0.5 This is an example of a terminating decimal. A repeating decimal is a decimal that never ends of its repetition, Ex: 0.13333333 (Continuous).
I hope this helps my grammar might bit a bad sorry.
Hope you get an A ^^
Have a great day
Ximena and some friends are going to the movies. At the theater, they sell a bag of popcorn for $5 and a drink for $5.75. How much would it cost if they bought 8 bags of popcorn and 6 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?
Answer: 74.5
6 drinks would cost 34.5 dollars
5.75 x 6 = 34.5
8 bags of popcorn would cost 40 dollars
5 x 8 = 40
Now add both numbers
40 + 34.5 = 74.5
74.5 is our answer
hope this helps :)
Answer:
Popcorn:40 Drinks:34.5
Step-by-step explanation:
All you gotta do is 5 times 8 for the popcorn and that would equal 40. For the drinks 5.75 times 6 abd you'll get 34.5 Sorry if I'm wrong
Starting from scratch, Tori finished 1/6 of a reading assignment Monday afternoon and another 1/3 of it on Tuesday afternoon. What fraction of the reading assignment was done by Tuesday night?
Write your answer as a fraction or as a whole or mixed number.
The fraction of the reading assignment done by Tuesday night is 1/2.
What are fractions?Fractions are the numbers that make up a portion of the whole. An object or a collection of objects can be a whole. If a quantity or item is divided into equal pieces, each piece will represent a portion of the entire.A fraction is represented by the ratio a/b, where a represents the numerator and b is the denominator.Given:
Let the total reading assignment be x.
Fraction of the reading assignment finished by Tori on Monday afternoon = (1/6)x
Fraction of the reading assignment finished by Tori on Tuesday afternoon = (1/3)x
The fraction of the reading assignment done by Tuesday night is,
Total - Fraction of the reading assignment completed by Tori
= [tex]x -(\frac{x}{6} + \frac{x}{3} )[/tex]
= [tex]x -(\frac{x+ 2x}{6} )[/tex]
= [tex]x - \frac{3x}{6}[/tex]
= [tex]x -\frac{x}{2}[/tex]
= [tex]\frac{2x-x}{2}[/tex]
= [tex]\frac{x}{2}[/tex]
So, 1/2 of the reading assignment(x) was done by Tuesday night.
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the population of a village increased from 234 to 275 during one year.Find the percentage increase
Answer:
275-234 = 41
41/275 times 100
4100/275
=14.90909
=15%
Step-by-step explanation:
Evaluate the expression
x-y
if
x = -2
y = −3
z=5
Show your work.
Given: x = -2; y = -3; z = 5
It is clear that a numerical term can only be evaluated from an expression filled with numbers (no variables). In the expression provided, we have two variables, where y is being subtracted from x.
The expression can't be simplified because there is no like terms in the expression. However, since there are specific numerical values for each variable, we can substitute the numerical values for the variables in the expression and simplify the expression.
Step-2: SolvingAs planned, let's substitute the variables into the expression
⇒ x - yHere, we know that x = -2 and y = -3.
⇒ -2 - (-3)If -2 is being subtracted by a negative integer, the negative integer will become positive, and the "minus sign" will be converted to a "plus sign".
⇒ -2 + 3 = 1Step-3: ConcludeWe can conclude that 1 is the solution to the expression.
use the quadratic formula to find the solutions to the equation 3x^2-10+5=0
I don't understand this question
can u please help!
i will give u 11 points <3
Answer:
year 7 have 135 students
year 9 have 45 students
Step-by-step explanation:
200=total students
360=value of the whole chart
1/2×360
=180
year 8 have 180students
360-180=180
the students remain are 180
1/4×180
=45
year 9 have 45 students
180-45
=135
year7 have 135 students
what is the answer for 8x - 4
Answer:
Step-by-step explanation:
At a local sandwich shop, 55% of customers preferred white bread over whole wheat bread. Of those who chose whole wheat bread, 58% preferred ham for the protein, and 46% of those who chose white bread also preferred turkey. What percentage of customers chose whole wheat bread with turkey? Round your answer to the nearest whole percentage.
19%
25%
46%
58%
The percentage of customers who chose whole wheat bread with turkey are 19 %.
Given that:-
Percentage of customers who preferred white bread = 55 %
Percentage of customers who preferred turkey with white bread = 46 % of those who like white bread.
Percentage of customers who preferred ham with whole wheat bread = 55 %
We have to find the percentage of customers who chose whole wheat bread with turkey.
Let the total number of customers at the local sandwich shop be 100x.
Percentage of customers who preferred whole wheat bread = (100-55) % = 45 %
45 % of 100x = 45x.
Percentage of customers who preferred turkey with whole wheat bread = (100-58) % of 45x = 42 % of 45x.
42 % of 45x = 18.9x ≈ 19x.
19x is 19 % of 100x.
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Answer: The answer is A, 19%
Step-by-step explanation: I had the same question.
16 There are some children in a classroom.
The ratio of boys to girls is 3:1
(a) Work out the fraction of the children that are boys.
Ratio of number of boys to total number of children is 3:4 and number of girls is 8
What is ratio?The comparison of two values using the same unit is called a ratio. Divide the first amount by the second to get it. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0.
Let the number of boys be 3x and girls be x.(As they are in ratio of 3:1)
a) Total number of children = 3x + x = 4x
Ratio of number of boys to total number of children = [tex]\frac{3x}{4x}[/tex]
= 3:4
b) As, number of boys are 24
3x = 24
x = 8
, number of girls = x = 8
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Laura Russo lost her earnings statement from Siler's Lawn
and Garden. She recalls paying $43.00 in federal income taxes and
knows she deposited $306.36 in her checking account. Each week she
had deductions for Social Security and Medicare taxes; $22.35 for
medical insurance; 1.5% state tax; 1.5% local tax; and $25.00 for the
credit union. What is her gross weekly pay?
Employee's gross pay is their salary before any payroll deductions such as taxes, benefits, and other expenses are made.
Her goss weekly pay is $409.13.
How to find her gross weekly pay?
Before taxes, benefits, and other payroll deductions are deducted, an employee's gross pay is what they are paid.
Net pay, often known as take-home pay, is the sum that is left over after all deductions have been taken into consideration.
Federal income tax:
306.36+ 43 = 349.36
Medical insurance:
349.36 + 22.35 = 371.71
Credit union:
371.71 + 25 = 396.71
State tax:
396.71 increased by 1.5% is 396.71 * (1.015) = 402.66
Local tax:
402.66 increased by 1.5% is 402.66 * (1.015)= 409.13
Her goss weekly pay is $409.13.
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The Distributive Property Use the Distributive Property to rewrite each expression without parenthesis
1. 9(3x + 2) 2. -3(7 + 3p) 3. (2y + 7) 6
The distributive property should be used to rewrite each expression without parenthesis as follows:
9(3x + 2) = 27x + 18-3(7 + 3p) = -21 - 21p(2y + 7)6 = 12y + 42What is the distribution property?The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a specific number, the same output (result) would be produced as when each addend is multiplied respectively by the number, and the products are added together.
Mathematically, the distributive property of multiplication is given by this expression:
a(b + c) = ab + ac.
In conclusion, the distributive property of multiplication can be used to evaluate and rewrite a mathematical expression as shown above.
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Use the point-slope form of the straight line to find the equation of the straight line which passes through the point (2, 1) and is parallel to the line 5x + y = 1.
Answer:
y=-5x+6
Step-by-step explanation:
the two lines are parallel so they have the same slope and if you put the like in y=mx+b it would be y=-5x+1 so the slope is -5
Then you need to put it into point slope for to figure it out y-y1=m(x-x1)
y-1=-5(x-1) (simplify)
y-1=-5x+5 (add 1 to both sides)
y=-5x+6
7 - (-3) = 7+ blank* equals blank*
Answer: 7 -(-3)=7+3=10
Step-by-step explanation:
If you multiply a negative sign be a negative number in parenthesis, then it becomes positive. So, -(-3) = 3
Can also be seen as -1*-3 = 3
[tex]2(40 - 5y)=10y+5(1 - y)[/tex]
Answer:
y = 5
Step-by-step explanation:
2(40 - 5y) : 80 - 10y
10y + 5(1 + y) : 5y + 5
80 - 10y = 5y +5
-10y = 5y -75
-10y - 5y = 5y - 75 - 5y
-15y/-15 = -75/-15
-15y/-15 : y
-75/-15 : 5
Hence, The answer should be 5
Do the values in this table represent a proportional relationship?
X
y
2
O I don't know.
1
O Yes, and the constant of proportionality is 1/2.
O Yes, and the constant of proportionality is 2.
O No.
4
Creative Section - B
7. a) The average of daily income of a plumber from Sunday to Friday is Rs 1,300
in the last week. If he earned Rs 2,000 on Saturday, find
income of the week.