Step-by-step explanation:
the altitude makes a right angle at hypotenuse
cd^2+ ad^2 = ac^2
36+ (h/5)^2 = ac^2
ad/ab = 1/5; ad/h = 1/5; ad=h/5
similarly
bd^2+cd^2 = bc^2
(4/5)^2+ 36 = bc^2
ac^2+bc^2 = ab^2
36+h^2/25+ 16/25h^2+36 = h^2
h= 15
bd/ab = 4/5
bd= .8*15=12
MULTIPLE CHOICE QUESTION
ers
What is 0.25 as a fraction?
Answer:
1/4
Explanation: 0.25 multiplied by 4 is 1. This shows that 0.25 is 1/4 of 1
Sean is filling his truck with gasoline. He knows the total cost, C, will be proportional to the
number of gallons of gasoline, g, that he puts into the gas tank. After putting 8.5 gallons in
.
the tank, the cost is $23.63.
(a) Find the ratio of the cost to the gallons as
(b) What is the real world meaning of your
a unit rate. Show the division as a fraction answer in (a)?
and then state the answer with appropriate
units.
(c) If c is the cost and g is the number of
gallons bought, write a proportion
involving c and g and then solve it for c.
(d) If Sean puts 17 gallons of gasoline into
his truck, what is his cost? Justify.
Part (a)
Divide the total cost over the number of gallons to get the unit cost
(23.63)/(8.5) = 2.78
Answer: 2.78=======================================================
Part (b)
The result of the previous part indicates the gas costs $2.78 per gallon.
=======================================================
Part (c)
c = cost in dollars
g = number of gallons bought
cost/gallons = cost/gallons
c/g = (23.78)/(8.5)
c/g = 2.78
c = 2.78g
This fits with what part (b) mentioned. The 2.78g means "2.78 times g".
Answer: c = 2.78g=======================================================
Part (d)
Plug g = 17 into the equation found in part (c)
c = 2.78g
c = 2.78*17
c = 47.26
Answer: $47.26· Amani and Danielle are buying hair spray. They can buy 4 bottles of Rave and 5 bottles of Max for $30.00, or
they can by 1 bottle of Rave and 1 bottle of Max for $6.50. If r is the cost of a bottle of Rave and m is the cost
Fa bottle of Max, how much does each bottle of hair spray cost?
Answer:
3.25, I don't know, I'm in like 1st grade
Step-by-step explanation:
Find the product of 2x4(2x2 3x 4). 2x8 3x4 4x4 4x6 6x5 8x4 4x4 3x5 2x6 3x6 4x5 5x4.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given expression is simplified as:
[tex]2x^4(2x^2 + 3x + 4) = 2x^4 \times 2x^2 + 2x^4 \times 3x + 2x^4 \times 4\\2x^4(2x^2 + 3x + 4) = 4x^6 + 6x^5 + 8x^4[/tex]
Thus,
The product of [tex]2x^4(2x^2 + 3x + 4)[/tex] is [tex]4x^6 + 6x^5 + 8x^4[/tex]
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Answer:
4x^6 + 6x^4 + 8x^4
Step-by-step explanation:
its the only option with a 6 in the 2nd term.
If you are given T(5, 0), R(0, 5), A(4, 7), and P(7, 4), and asked to show that TRAP is a trapezoid, you would need to find _________.
Group of answer choices
the slopes of TR, RA, AP and TP to show that both pairs of opposite sides are parallel.
the slopes of TA and RP to show that the diagonals are perpendicular.
the lengths of TA and RP using the distance formula to show that the diagonals are congruent.
the slopes of TR, RA, AP and TP to show that one pair of opposite sides is parallel.
Answer:
the lengths of TA and RP using the distance formula to show that the diagonals are congruent.the slopes of TR, RA, AP and TP to show that one pair of opposite sides is parallel.Step-by-step explanation:
A trapezoid is a four-sided polygon or a quadrilateral. It has one set of opposite sides which are parallel and a set of non-parallel sides.
(Therefore, statement 1 is incorrect and statement 4 is correct)
If the non-parallel sides of the trapezoid are equal in length, then it is called an isosceles trapezoid. An isosceles trapezoid has a line of symmetry and both the diagonals are equal in length.
(Therefore, statement 3 is correct).
Statement 2 is incorrect as the diagonals are NOT perpendicular
Answer:
C is the corect answer give brainliest boy or girl above his/her/they explanation was good
What is the radius of the sector?
Answer:
5 units
Step-by-step explanation:
The area of a sector is [tex]A=\frac{r^2\theta}{2}[/tex] where [tex]r[/tex] is the radius and [tex]\theta[/tex] is the angle formed:
[tex]A=\frac{r^2\theta}{2}\\\\\frac{75\pi}{16} =\frac{r^2(\frac{3\pi}{8})}{2}\\\\150\pi=16r^2(\frac{3\pi}{8})\\\\150\pi=6\pi r^2\\\\25=r^2\\\\5=r[/tex]
Therefore, the radius of the sector is 5 units
PLEASE HELP ME! CLICK ON THE PICTURE FOR A BETTER VIEW IF U NEED TO!
Answer:
In order: -5, 3, 5
Step-by-step explanation:
-5g + 15h - 25
-5 ( g - 3h + 5 )
Hopefully this helps!
Brainliest please?
Please help if you answer correctly I will give brainliest thank you!!!!!!!!
Answer:
The Answer is C
Step-by-step explanation:
3x-4y=5
2x+4y=-3
This equation is the answer to this problem because just by looking at it, you can immediately cancel out the y value and solve for x.
The other equations are wrong because their is extra work needed to eliminate the values.
give me the answer pease help
Answer:
D. [tex]9(y+3) and 27+9y[/tex]
Step-by-step explanation:
The first expression for each set is using the distributing propety. We can start with the first one. We notice right away that 3 sets of 3y is 9y, when the other expression is 6. So, that is incorrect. Next we see the second one does have a correct y-value, but the integer value of 6 is not the same, since 3*3=9, not 6. For C we can tell that 9*3=27, which is not equal to 12. Therefore, D must be the answer.
Solve the equation. (If all real numbers are solutions, enter REALS. If there is no solution, enter NO SOLUTION.)
7x + 1
_____=1/2
16
Answer: 1
Step-by-step explanation:
16 * 1/2 = 8
7x + 1 = 8
7x = 7
x = 1
Answer:
x = 1
Step-by-step explanation:
[tex]\frac { 7 x + 1 } { 16 } = \frac { 1 } { 2 }\\7x+1=\frac{16}{2} \\7x+1=8 \\7x=8-1 \\7x = 7\\x = \frac{7}{7} \\\bigstar \; \boxed{x = 1}[/tex]
Hope it helps ⚜
1 9 5 ÷(− 3 2 )×(−2 7 1 )
Answer:
1651.40625
Step-by-step explanation:
Multiplying or dividing an even number of negative terms equals a positive.
195÷32×271
Using the rule of BODMAS,
(D) Division first.
195÷32 = 6.09375
(M) Multiplication next.
6.09375×271 = 1651.40625
Alternate form ↓
52845
32
OR
1651¹³/32
M
The person is 6 feet tall and casts a shadow of 3.2 feet. The building casts a
shadow of 18.5. How tall is the building? Round to the nearest
hundredth.
Answer:
34.69 feet
Step-by-step explanation:
First, you would set up a proportion using the person's measurements and the measurements you do have from the building. You would put your actual value on top of one of the proportions, 6, then put its shadow value, 3.2, on the bottom. Then, you would add 18.5 to the bottom of your other fraction.
Next, you would cross multiply and divide. If you don't know what that means, you will multiply 18.5 by 6, and get 111. Then, divide this number by 3.2. This should make you get 34.6875, so then you round to the nearest hundredths place to get 34.69.
A ____ is a measuring stick that represents the actual wall frame, with markings made at the proper height for every horizontal member of the wall frame.
Answer:
Story Pole
Step-by-step explanation:
Source : Trust me bro
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number of hours of daylight varies sinusoidal over a period of twelve months. Sketch the graph then use this data to find the following:
We have that the graph will have a solution that is mathematically given as
y=12sin(6t-\pi)+2
Daylight time June trough to December
Question Parameters:
A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days).
Generally the equation for the Amplitude and vertical shift is mathematically given as
[tex]A=\frac{Max+min}{2}\\\\A=\frac{10+14}{2}[/tex]
A=2
vertical shift =[tex]\frac{Max-min}{2}[/tex]
vertical shift =[tex]\frac{14-10}{2}[/tex]
vertical shift =1
Therefore, the time is given as
[tex]t=\frac{2\pi}{b}[/tex]
Where
[tex]b=\pi/6\\\\t=\frac{2\pi}{\pi/6}[/tex]
Hence,The graph will have a solution
y=12sin(6t-\pi)+2
For more information on Graph
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Can you guys help me, I'll really appreciate it, I need this to 14 February ill give you 30 points
Answer:
1. f(x) Domain [-3,∞) Range [0,∞)
2. g(x) Domain (-∞,∞) Range [√3, ∞)
3. h(x) Domain [3,∞) Range [0,∞)
4. i(x) Domain (-∞,-√3]∪[√3,∞) Range [0,∞)
5. j(x) Domain (-∞,∞) Range [0,∞)
6. k(x) Domain (-∞,∞) Range [0,∞)
7. f(x) Domain (-∞,∞) Range [3,∞)
Exercise 2 : no there is not an inverse. in about to have an inverse you have to have x and y. yes. if you restrict the domain of the finction so that its 1 to 1 which creates a new function youll have an inverse.
PLS I WILL GIVE YOU 23 POINTS IF YOU ANSWER ME CORRECTLY
The diagram shows 3/4 of a fraction strip shaded. Mary erases some of the shadings to show 5/8. Explain the steps she took to shade 5/8 of the fraction strip.
Answer:
She shaded off 1/8 of the fraction strip.
Enjoy ;)
Answer:
a 8 parts b 8 3|4 3 × 4|4 × 2= b 8
Step-by-step explain
Need the answer really struggling
Answer:
B and C are true.
Step-by-step explanation:
The triangle is reflected across x axis. So option 1 incorrect.It is translated 2 units to the right.B and C are correct.Write a multiplication sentence that proves the division sentence -30/5 = -6 is correct.
Answer:
he believed governing is very hard and needs help
Answer:
5 * -6 = -30
Step-by-step explanation:
You just have to do the reverse of the already existing division problem.
Fill in the table above.
What’s the ratio of cost to bags of salad?
How much does one bag of salad cost (unit rate)?
Put this into Slope Intercept Form
x + 6y = –6
Answer:
[tex]y=-\frac{x}{6} -1[/tex]
Step-by-step explanation:
Hi there!
We are given the following equation:
x+6y=-6
And we want to convert it into slope-intercept form
Slope-intercept form is known as y=mx+b, where m is the slope and b is the y intercept
The equation is currently in standard form, which is ax+by=c, where a, b, and c are integer coefficients
Notice how in standard form, both the terms that contain x and y are on one side, but in slope-intercept form, y is by itself on one side
So essentially, in order to convert from standard form to slope-intercept form, we need to solve for y
Here is our equation again:
x+6y=-6
Start by subtracting x from both sides
x+6y=-6
-x -x
_______________
6y=-x-6
Now divide both sides by 6
[tex]y=-\frac{x}{6} -\frac{6}{6}[/tex]
We can simplify the fractions to become:
[tex]y=-\frac{x}{6} -1[/tex]
Hope this helps!
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Describe the error then simplify the expression correctly.
-5(3+6)=-15+30
=15
Answer: 30 should be negative
Step-by-step explanation:
when having an equation like that, you must multiply -5 by 3, which equals to -15, then multiply-5 by 6 which then equals to -30. The correct equation should be -5(3+6)= -15+-30= -45
I think this should be correct, hope this helps!
Answer:
a) The negative was not distributed to the 6
b) -45
Step-by-step explanation:
This simplification uses the distributive property. This is when a factor outside of parentheses is multiplied by the factors within the parentheses. When using this property, if the factor outside the parentheses is negative, then that negative must be distributed to both factors within the parentheses.
The correct way to simplify the expression is as follows:-5(3+6)
Multiply -5*3 and -5*6-15 + -30
Rewrite this using subtraction-15-30
Subtract-45
I need help with this
24,501.42 cubic meters
Step-by-step explanation:
The equation for volume of a cylinder is:
A=πr²h
A= area
r= radius
h=height
let's plug in the numbers
A=π×17²×27
(the radius is half of the diameter; 34÷2=17)
Let's use 3.14 as pi
A=3.14×289×27
A= 24501.02 cubic meters
Look at the screen shot
Answer:
M- MONICA
Step-by-step explanation:
Identify the shapes, using the names studied in this lesson
Answer: Rhombus
Step-by-step explanation:
It is a rhombus because all sides are equal and opposite sides are parallel.
Answer:
parallelogram
Step-by-step explanation:
Because the sides are parallel to each other.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: A
Step-by-step explanation:
A saleswoman earns 30% commission on all the merchandise that she sells. Last month she sold $700 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer:
$210
Step-by-step explanation:
Merchandise sold = $700
Commission = 30%
30% of $700 = 0.3 x 700 = $210
Hence, the saleswoman earn $210 in commission.
[RevyBreeze]
find the measure of the indicated angle
Answer:
B=53
C=127
D=127
Step-by-step explanation:
Find the total cost of a $25 haircut with a 20% tip round to the nearest cent when necessary
Answer:
$30
Step-by-step explanation:
cost of tip is represented by 25 multiplied by 0.2:
25*0.2=5
add onto original price:
25+5=30
good luck :)
Answer:
$30 dollars
Step-by-step explanation:
Given the following question:
Total price = $25.00
20% tip
In order to find the answer, we find 20% of the 25-dollar haircut. Then we add that number to the original price of the haircut.
[tex]\frac{25\times20}{100} =25\times20=500\div100=5[/tex]
[tex]25+5=30[/tex]
[tex]t=30.00[/tex]
Total cost of the haircut was "$30.00 dollars."
Hope this helps.
Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106. 40 in interest. How much had Mrs. Ming invested in the account paying 6%? $117 $680 $760 $820.
Interest rate for one year is rate percent amount of original investment. The amount invested by Mrs. Ming in the account paying 6% was $680
How to calculate interest after 1 year if the rate of interest is R% annually?Suppose that annually there is interest rate of R%. The amount initially invested is P, then for 1 year, it doesn't matter if its simple or compounding annually, the interest is same (it doesn't remain same if compounding isn't annually or if the time is > 1 year)
The interest for 1 year will be [tex]\dfrac{P}{100} \times R[/tex]
Let we have the initial amount spent in account paying 8% interest rate as $x
Let for 6% interest paying account, initial amount was $y
Then, by the given data, we have:
[tex]x + y = 1500[/tex]
and
[tex]\dfrac{x}{100} \times 8 + \dfrac{y}{100} \times 6= 106.40\\\\8x + 6y = 10640\\4x + 3y = 5320[/tex]
Thus, we got a system of linear equations as :
[tex]x + y = 1500\\4x + 3y = 5320[/tex]
From equation 1, getting value of x in terms of y, we get:
[tex]x = 1500 - y[/tex]
Substituting this value in second equation, we get:
[tex]4x + 3y = 5320\\4(1500-y) +3y = 5320\\6000 - y = 5320\\y =680[/tex]
Putting this value of y in the equation we got for x,
[tex]x = 1500 - y\\x = 1500 - 680= 820[/tex]
Thus, amount invested by Mrs Ming in account paying 8% interest rate as $x = $820
and for 6% interest paying account, initial amount was $y = $680
Thus,
The amount invested by Mrs. Ming in the account paying 6% was $680
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You sell triangular flags made from felt. How much felt do you need to make 60 flags?
Answer:
61.
Step-by-step explanation:
because you make 60 flags then you will need 61.
61 felt do you need to make 60 flags.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
You sell triangular flags made from felt.
so, 61 felt do you need to make 60 flags.
because you make 60 flags then you will need 61.
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