A triangle and a rectangle are shown below.

The area of the rectangle is 5 times the area of the triangle.

Work out the width(w) of the rectangle

Answers

Answer 1

Answer:

10 cm

Step-by-step explanation:

From the diagram,

Applying,

lw = 5/2(bh)..................... Equation 1

Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.

make w the subject of the equation

w = 5(bh)/2l............... Equation 2

From the diagram,

Given: l = 12 cm, b = 6 cm, h = 8 cm

Substitute into equation 2

w = 5(6×8)/(2×12)

w = 10 cm

Hence the width of the rectangle is 10 cm

A Triangle And A Rectangle Are Shown Below. The Area Of The Rectangle Is 5 Times The Area Of The Triangle.Work
A Triangle And A Rectangle Are Shown Below. The Area Of The Rectangle Is 5 Times The Area Of The Triangle.Work

Related Questions

Find three consecutive odd integers such that the sum of twice the first and three times the second is 55 more than twice the third.

Answers

Answer:

Step-by-step explanation:

let the numbers be n,n+2,n+4

2n+3(n+2)=2(n+4)+55

2n+3n+6=2n+8+55

2n+3n-2n=63-6

3n=57

n=57/3=19

so numbers are 19,21,23

Answer:

-19.333…

-18.333…

-17.333…

Step-by-step explanation:

First is x

Second is x+1

Third is x+2

2x+3(x+1)=2(x+2)-55

2x+3x+3=2x+4-55

5x+3=2x-51

5x-2x=-51-3

3x=-58

3x/3=-58/3

x=-19.333…

x+1=-19.333+1

=-18.333...

x+2=-19.333+2

=-17.333...

which answer represents the series in sigma notation 1+1/4+1/16+1/64+1/256+1/1024+1/4096

Answers

Answer:

1/(4^(n-1))

Step-by-step explanation:

if you start at zero then this should be the solution

Lee drove 635 miles and used 25 gallons of gasoline. How many miles did Lee's car travel per gallon of gasoline?

Answers

He can drive 25 miles

A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, if necessary.

Answers

Answer:

$749.89

Step-by-step explanation:

TV price = 100% = 695.95

Sales TAX = 7.75% = x

Total price = 107.75% = x dollars

1.0775 * 685.95 = 749.886125 ≈ 749.89

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The circumference of a circle is 32 centimeters. Find the radius of this circle.
a. about 201.06 cm c. about 5.09 cm
b. about 100.53 cm d. about 10.19 cm

Answers

Answer:

r≈5.09cm

Step-by-step explanation:

which expression are equivalent to the given expression square root of 40

Answers

Answer:

2√10

Step-by-step explanation:

√40 = √(2 × 2 × 2 × 5) = 2√10.

HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE

Answers

The correct answer is x = -3

Write the Slope Intercept Form equation of the line that passes through the points (−24,8) and (−12,28).

Answers

Answer:

y = 5/3x + 48

Step-by-step explanation:

y2 - y1 / x2 - x1

28 - 8 / -12 - (-24)

20 / 12

5/3

y = 5/3x + b

8 = 5/3(-24) + b

8 = -40 + b

48 = b

Combine the radicals 9 x-3 x
6
6 x
-6 2x
-6

Answers

Answer:

6x

Step-by-step explanation:

9x - 3x

[When like terms are combined then as per statement they get subtracted]

= 6x (Ans)

the answer is 6x.

hope this helps!

what is 345% written in decimal form? i really need help :( thanks if u can!!

Answers

1.0 represents 100%. 0.45 represents 45%
So 1.0 x 3 is essentially 300% plus 0.45
Therefore, 3.45=345%

I need help finding the slope G and J

Answers

Answer:

[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

G(-6 , 2) = (x1 , y1)

J(-4 , -3) = (x2 , y2)

slope = y2 - y1/x2 - x1

=-3-2/-4-(-6)

=-5/-4+6

=-5/2

Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7

Answers

x=3 ,y=1
i hope this helps

Answer:

The Coordinates are (3, 1)

Step-by-step explanation:

Use the substitution method to solve the system of equations.

Let y = x - 2 be Equation 1

Let y = -2x + 7 be Equation 2

We know that the coordinates are (3, 1) because we graphed the slope intercept equations in part one. Its asking to use the substitution method to prove that the coordinates (3, 1) are viable or satisfies both Equation 1 and 2.

The substitution method is nothing but substituting x and y back into the equation to prove that the coordinates are viable.

For this I'll use equation 1 first,

y = x - 2

1 = 3 - 2

So yes, the coordinates (3, 1) satisfy Equation 1

Lets check equation 2 now,

y = -2x + 7

1 = -2*3 + 7

1 = -6 + 7

This is also another equation where the coordinates (3, 1) satisfy equation 2

So this means that the coordinates (3, 1) are viable for both equations

Hope this helps!

The circumference of a circle is 20 pi inches. What is the area in square inches of the circle express your answer in terms of pi

Answers

Answer:

314 c m 2

Step-by-step explanation:i think i dont know (sorry)

Consider the following sequence of numbers

Answers

Answer:

There are no questions below .

Will give brainlist!!

Answers

Answer:

B

Step-by-step explanation:

Have a wonderful day

Answer:
The answer Is B

Factor x2−6x+8 (x+2)(x+6) (x−4)(x−2) (x−5)(x−3) (x+4)(x−4)

Answers

Answer:

(x-4) (x-2)

Step-by-step explanation:

x^2−6x+8

What 2 numbers multiply to 8 and add to -6

-4*-2 = -8

-4+-2 = -6

(x-4) (x-2)

Four students equally shared 1/2 pan of brownies. What fraction of the whole pan of brownies did each brother get

Answers

2 pan......................

.................

Answer:

1/8 of the whole pan

Step-by-step explanation:

Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.

help me please please

Answers

Answer:

A

Step-by-step explanation:

For a number to be written in scientific notation, you need to have it in the form:

a x 10^n

Where a is between 1 and 10(not including 10), and n is an integer. We can notice that in option A, 0.1(a) is not between one and ten, so it is not in scientific notation.

Help me ASAP please

Answers

Answer:

f(x) = x³ - 3

Step-by-step explanation:

Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < o then a shift down o c units

Here a shift down of 3 units, hence c = - 3, thus

f(x) = x³ - 3

Please use the following image for the next 7 questions. Keep in mind that because XY is tangent to circle M, XM and XM form a right angle.
XM = 11 and YM = 36.

What is the area of circle M?
What is the circumference of circle M?
Find the length of XY .
Find the measure of angle M.
Find the area of triangle XYM.
Find the area of the minor sector that has been created as part of triangle XYM.
Find the arc length of the minor arc from point X to the point where YM intersects with the circle.

Answers

Step-by-step explanation:

• the area of circle M = 3.14×11² = 379.94

• the circumference of circle M =

2×3.14×11 = 69.08

• XY =√36²-11²=√1296-121=√1175=34.28

L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°

the area of triangle XY = ½×11×34.28

= 188.54

• the area of minor sector

= 72.21/360 × 379.94 = 76.20

• the minor arc from point X to

the point where YM intersects

withthe circle

= 72.21/360 × 69.08 = 13.86

When adding two
rational numbers what
will the sign be if both
numbers are positive?

Answers

Answer:

Step-by-step explanation:

Adding two rational numbers results in a positive sum.

PLEASE HELP!
Adele's checking account balance last month was $4650. If her checking
account pays 1% interest monthly and has a $12 service fee, how much was
the credit to her account?
A. $12.50
B. $34.50
C. $46.50
D. $25.00

Answers

The answer is $46.50 :)
the answer would be C to this question

Help? Luis has saved $15. He doubles the amount he saves each week. Does this represent an exponential function? Choose the correct word in each drop-down menu.
This___ represent an exponential function, because his savings increase by a constant___
1st blank (does not, does)
2nd blank (ratio, difference)

Answers

Answer:

1). Does Not

2). Ratio

Step-by-step explanation:

According to the Question,

Given that, Luis has saved $15. He doubles the amount he saves each week.

This DOES NOT represent an exponential function, because his savings increase by a constant RATIO.

pls help me ill give brainliest and no links ty!<3:)

Answers

T is the midpoint of PQ

PT=TQ

5x+7 = 7x-7

2x= 14

x= 14/2

x= 7

PT = 5(7)+7 = 42

An isosceles triangle always has three interior angles that measure 60° each.
Is it true or false?

Please give real answers with explanation. 100 points + I will give brainliest. No Docs/No Files/No Links only answer with explanation.

Answers

Answer:

False

Step-by-step explanation:

The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has at least two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!

Mike wants to work out the height of a tree which has a fence around it. From A he sees that the angle of elevation of the top is 19° From B, 18m closer, the angle of elevation is 32° Workout the height of the tree

Answers

Answer: 13.8 m

Step-by-step explanation:

Given

From point A, angle of elevation is [tex]19^{\circ}[/tex]

From point B which is 18 m closer, it changes to [tex]32^{\circ}[/tex]

Suppose the height of tree is h

From figure, we can write

[tex]\Rightarrow \tan 32=\dfrac{h}{x}\\\\\Rightarrow h=x\tan 32^{\circ}[/tex]

Similarly

[tex]\Rightarrow \tan19^{\circ}=\dfrac{h}{x+18}\\\\\Rightarrow h=(x+18)\tan 19^{\circ}\\\text{Substitute the value of h}\\\Rightarrow x\tan 32^{\circ}=x\tan 19^{\circ}+18\tan 19^{\circ}\\\Rightarrow x(\tan32^{\circ}-\tan 19^{\circ})=18\tan 19^{\circ}\\\\\Rightarrow x=\dfrac{18\tan 19^{\circ}}{\tan32^{\circ}-\tan 19^{\circ}}\\\\\Rightarrow x=22.09\approx 22.1\ m[/tex]

Deduce the value of h

[tex]\Rightarrow h=22.092\times \tan 32^{\circ}\\\Rightarrow h=13.8\ m[/tex]

Thus, the height of the tree is 13.8 m

Solve for the roots using the quadratic formula. Express your answers to two decimal places.
2x^2 − 5x − 1 = 0

Answers

Answer:

x = 2.69 or x = -0.19

Step-by-step explanation:

Given:

2x² − 5x − 1 = 0

x = {-b ± √b² - 4ac} / 2a

a = 2

b = -5

c = -1

x = {-b ± √b² - 4ac} / 2a

= {-(-5) ± √(-5)² - 4(2)(-1)} / 2 * 2

= {5 ± √25 - (-8)} / 4

= {5 ± √25 + 8} / 4

= 5 ± √33 / 4

= 5 ± 5.75 /4

x = 5/4 + 5.75/4 or x = 5/4 - 5.75/4

x = 10.75/4 or x = -0.75/4

x = 2.69 or x = -0.19

What is the area of a rectangle with side lengths 25 2 5 feet and 46 4 6 feet? Use the grid to help you.

Answers

Answer:

1185 10/30 square feet

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length = 25 2/5 feet

width = 46 4/6

Substitute into the formula;

Area = 25 2/5 * 46 4/6

Area = 127/5 * 280/6

Area = 35,560/30

Area = 1185 10/30

Hence the area of the rectangle is 1185 10/30 square feet

What is the measure of arc XZ?​

Answers

ohh dear u still have school i have a holiday for two months

Find the volume of the cone. round your answer to the nearest tenth.​

Answers

Answer:

18 and if I round it off to the nearest tenth it will be 20

just so you know I'm not that good at maths

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