The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared

Answers

Answer 1

Answer:

[tex]b_1 \approx 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]

Step-by-step explanation:

Given

[tex]Area = 65cm^2[/tex] --- Area of the triangle

[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid

The missing parameters is:

[tex]h=6 cm[/tex] --- Trapezoid height

Required

Determine b1 and b2

Since the areas of the trapezoid and the triangle are the same, then:

[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]

So, we have:

[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]

Substitute[tex]b_2 = 2b_1[/tex]

[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]

[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]

[tex]65 = 3b_1 * 3[/tex]

[tex]65 = 9b_1[/tex]

Solve for [tex]b_1[/tex]

[tex]b_1 = \frac{65}{9}[/tex]

[tex]b_1 \approx 7.2[/tex]

Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]

[tex]b_2 \approx 2 * 7.2[/tex]

[tex]b_2 \approx 14.4[/tex]


Related Questions

Sue invested $2400 at a 3% simple interest rate for 18 months. How much did she earn on her investment after the 18 months?

Answers

Answer:

sinple interest= principle*rate*time/100

SI= 2400*3*1.5/100

SI= 108

AMOUNT= SI + PRICIOLE

AMOUNT= 108+2400

AMOUNT= 2508

{ I converted 18 months to 1.5 years}

Which of the following statements are true?


A) 3 lbs of sugar is sugar is required to make 60 muffins.


B) 120 lbs of sugar is required to make 6 muffins.


C) 0 lbs of sugars required to make 0 muffins.


D) The maximum number of muffins that can be made is 220

Answers

Answer:

C

Step-by-step explanation:

Because 0 lbs of sugar is required to make 0 muffins

I hope this is right

How many bases are there in the triangular pyramid shown below?

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

In a pyramid, there is only one base that touches the ground.

However, in a prism, there are two bases, two of the same ends.

The front of the name of the shape also hints:

If it's an octagonal prism, there are two octagon bases.

If it's a hexagonal pyramid, there is one hexagon base.

how would you do log(3250) without a calculator

Answers

Answer:

Step-by-step explanation:

It depends on what level you are. Logs are most easily developed by using a series for the natural logarithms (instead of base 10, you use base e). Even that is a difficult process using a series that you won't be introduced to until your second calculus course..

For now, I'd be content to use a calculator. The series does not converge terribly quickly.

Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.​

Answers

Answer:

The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.

Step-by-step explanation:

The computation of the magnitude and the period is given below:

First we determine the angular velocity that transforming the revolutions per minute,  

So,

ω = (1200 rev / min) ×  (2π rad / rev) × (1 min / 60s)

ω = 125.66 rad / s

Now, the period is  

ω = 2π ÷ T

T = 2π ÷ (125.66 rad / s)

T = 0.05 s

Hence,  the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.

Substitution
x+5y=13, 4x+7y=0
PLEASE HELP MEE<3


Answers

Step-by-step explanation:

x+5Y=13...... 1

4x +7y=0..... 2

from eqn 1

x =13-5y

substitute into eqn 2

[tex]4(13 - 5y) + 7y = 0[/tex]

52-20y +7y=0

52-13y=0

52=13y

y=52÷13

y=4

substitute Y into eqn 2

x +5y=13

x + 5(4)= 13

x+ 20=13

x=13-20

x=-7

When Daniel left his house in the morning, his cell phone battery was partially
charged. Let B represent the charge remaining in Daniel's battery, as a percentage,
hours since Daniel left his house. The table below has select values showing the linear
relationship between t and B. Determine how much battery life Daniel's phone
would have 1.5 hours after leaving his house.
t
B
1
27.5
2.5
19.25
4
11

Answers

Answer:

24.75 percents

Step-by-step explanation:

I need to know both of the questions please!

Answers

Answer: x=10 and angle RST is 75 degrees

Step-by-step explanation:

please help me answer this!

Answers

Answer:

right

Step-by-step explanation:

tell me if i was wrong

please help with the question below

Answers

Answer:

I’m not sure but I. Think it’s a I guess

Step-by-step explanation:

Which of the following equations represents this statement

Answers

Answer: 5n = 35

Step-by-step explanation:

The product of a number n and the number 5 is 35. This statement can be formed into an equation as:

n × 5 = 35

5n = 35

The equation is 5n = 35

If we want to get the value of the number, it'll be:

5n = 35

n = 35/5

n = 7

The number is 7

The ordinate of every point on the x-axis is zero. True or false?

Answers

Answer:

true

Step-by-step explanation:

the first number is mostly known as 1 but actually is 0 because it is a separation between the negative and positive numbers

Ms. Neeson baked 30 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Ms. Neeson bake?

Answers

Answer: u find 5/6 of 30 cookies. of means to multiply do 5/6*30=  

Step-by-step explanation:

25 oatmeal cookies

5/6 of 30

30/6=5
5*5=25

Ruth buys 19 identical tickets for £280.25.
Estimate the cost of one ticket.

Answers

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

Can Someone please help me out with this problem

Answers

Step-by-step explanation:

find the area as if it was a rectangle so do 14x12 then subtract the area of half a circle with a diamater of 12

What is the inverse you would use to solve this problem: c/2=16

Answers

Answer:

multiplication

Step-by-step explanation:

what do ducks short necks help them to do? pls help :/

Answers

Answer:

In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water

Step-by-step explanation:

hope this helps

1) Find AC
2
А
24
118°
220
B

Answers

Ac is 40 because you add up the number and subtract by 180 which is 40 after all or that

What is the unit rate for the proportional relationship represented by the equation y=4/5x
Answer choices:
A:4/5
B:-2
C:4
D:5

Answers

Answer:

A: 4/5

Step-by-step explanation:

The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.

So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

We have given that,

the unit rate for the proportional relationship is represented by the equation y=4/5x.

We have to determine the unit rate

What is the equation of proportionality?

The equation for proportionality is y = kx, where k is the constant of proportionality.

So in y = 4/5x,

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

To learn more about the proportionality visit:

https://brainly.com/question/24868934

#SPJ2

Find area of square
Pls help

Answers

Answer:

49/64 yd²

Step-by-step explanation:

since where finding a square we do

A = bxh

A = 7/8×7/8

A = 49/64

solve for x. round your answer to the nearest tenth
Trigonometry ​

Answers

Answer:

63.5°

Step-by-step explanation:

Reference angle = x°

Opposite = 17

Hypotenuse = 19

Apply the trigonometric function, SOH:

[tex] sin(x) = \frac{Opp}{Hyp} [/tex]

Substitute

[tex] sin(x) = \frac{17}{19} [/tex]

[tex] x = sin^{-1}(\frac{17}{19}) [/tex]

x = 63.474648° ≈ 63.5° (nearest tenth)

Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️

Answers

Answer:

The answer is the second one!

Have a wonderful day/night! <3

0.96÷104 i dont have big brain

Answers

Answer:

0.00923077

Step-by-step explanation:

thats it

Answer:

Your answer is 0.000096 if your question was 0.96÷10 with a power of 4.

A boat covers 25 km upstream and 44 km downstream in t hours. Also, it covers 15 km upstream and 22 km downstream in 5 hours. Find the speed of the boat in still water and that of the stream.​

Answers

9514 1404 393

Answer:

  boat speed: (7t -95)/(6t² -110t +500)

  stream speed: (37t -345)/(6t² -110t +500)

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

The boat speed (b) is added to the stream speed (s) going downstream. The stream speed is subtracted going upstream. The given relations tell us ...

  25/(b-s) +44/(b+s) = t

  15/(b-s) +22/(b+s) = 5

This gives us 2 equations in 3 unknowns, so we can only provide a solution in terms of one of the unknowns. Since we are asked for the speeds, they will be provided in terms of t.

Subtracting the first equation from 2 times the second gives ...

  2(15/(b-s) +22/(b+s)) -(25/(b-s) +44/(b+s)) = 2(5) -(t)

  5/(b-s) = 10 -t

  5/(10 -t) = b -s

Substituting for b-s in the second equation gives ...

  15/(5/(10-t)) +22/(b+s) = 5

  30 -3t +22/(b+s) = 5

  22/(b+s) = 3t -25

  22/(3t -25) = b+s

Adding the equations for the sum and difference of speeds, we get ...

  (b-s) +(b+s) = 5/(10-t) +22/(3t -25)

  2b = (5(3t -25) +22(10 -t))/((10-t)(3t-25)) = (95 -7t)/((10-t)(3t-25))

  b = (7t -95)/(6t² -110t +500)

Subtracting the equations for sum and difference of speeds, we get ...

  (b+s) -(b-s) = 22/(3t -25) -5/(10 -t)

  2s = (22(10-t) -5(3t -25))/((10-t)(3t-25))

 s = (37t -345)/(6t² -110t +500)

__

The speed of the boat in still water is (7t -95)/(6t² -110t +500) km/h.

The speed of the stream is (37t -345)/(6t² -110t +500) km/h.

__

Note that these solutions only make sense for values of t between 25/3 and 345/37, approximately 8.33 < t < 9.32. For t=9 hours, the boat speed is 8 km/h and the stream speed is 3 km/h.

What is -8w-4 simplified?

Answers

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] - 4(2w + 1)[/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex] - 8w - 4[/tex]

Bind the expression with the common factor -4

[tex] - 8w - 4[/tex]

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Answer: −4(2w+1)

Step-by-step explanation: Hope this help :D

Someone help please !!

Answers

Answer:

what grade is this?

How many sides does a polygon have?

Answers

Answer:

it can have any about 3 and up as long as it is a 2d shape and it has to have straight lines

Answer:

They all vary. All a polygon needs is straight sides, two dimensions, and equal length sides.

Step-by-step explanation:

Hope this helps!

Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?

Answers

Answer:

By 2020, there will be 1,147 species of birds left

Step-by-step explanation:

The general model for an exponential decrease is;

y = I(1 - r)^t

where in this case;

y is the number of bird species at a particular decade from the initial

I is the number of birds initially at 1990

r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015

t in this case will be the number of decades after the initial

Mathematically, a decade is 10 years

The difference between 2020 and 1990 is 30

The number of decades in 30 years is 30/10 = 3

so t will be 3 here

Substituting these values into the equation, we have

y = 1200(1-0.015)^3

y = 1200(0.985)^3 = 1,146.8

To the nearest whole number, this is 1,147

2 BEC = 74°. What is 2 AED?




Answers

Answer:

AED is also 74

Step-by-step explanation:

they share the same crossing lines

Answer: 74

Step-by-step explanation:

Can someone help me with this. Will Mark brainliest.

Answers

Answer: I think it’s False I’m not sure

Answer:

it's false because isosceles is convex quadrilateral with line of symmetry

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