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3 years ago

12

Find the areas of the trapezoids.

1 answer:

Juliette [100K]3 years ago

3 0

Answer:

12 square units

Step-by-step explanation:

A = 1/2·h(sum of bases)

A = 1/2(4)(2+4)

A = 2(6) which is 12 square units

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The ratio of money in Terry's bank account to Faye's bank account was 3:7. Terry then put £220 in his account and Faye withdrew

Nadusha1986 [10]

Answer:

Terry initially had £390

Step-by-step explanation:

The ratio of the original amount is 3:7

Let the original amount Terry has be t and the original amount Faye has be f

3/7 = t/f

or simply 3f = 7t ••••••(i)

Terry putting 220 means he now has

t + 220

Faye withdrew 300

He now has f-300

These values are equal

t + 220 = f-300

f = t+220+300

f = t + 520 ••••••(ii)

Put ii into i

3(t + 520) = 7t

3t + 1560 = 7t

7t-3t = 1560

4t = 1560

t = 1560/4

t = 390

4 0

3 years ago

How to covert this y=(x-4)(x-12) into standard form

frez [133]

Answer:

x^2-16x+48

Step-by-step explanation:

Use foil,

x^2-12x-4x+48

x^2-16x+48

6 0

3 years ago

The top of a ladder is 10 meters from the ground when the ladder leans against the wall at an angle of 35.5° with respect to the

Anuta_ua [19.1K]

see the attached figure to better understand the problem

Step $1$

in the triangle ABC

<u>Find the distance AC</u>

we know that

In the right triangle ABC

$tan(A)=BC/AC$

solve for AC

$AC=BC/tan(A)$

$BC=10\ m\\A=35.5\°$

substitute the values

$AC=10/tan(35.5\°)$

$AC=14.02\ m$

Step $2$

in the triangle DEF

<u>Find the distance DF</u>

we know that

In the right triangle DEF

$tan(D)=EF/DF$

solve for DF

$DF=EF/tan(D)$

$EF=14\ m\\D=54.5\°$

substitute the values

$DF=14/tan(54.5\°)$

$DF=9.99\ m$

Step $3$

Find the value of x

we know that

the value of x is the difference between AC and DF

$x=AC-DF$

$x=14.02-9.99=4.03\ m$

round to the nearest meter-------> $x=4\ m$

therefore

<u>the answer is</u>

The value of x is $4\ m$

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Step-by-step explanation:

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What is the solution to the equation below?

MakcuM [25]

Answer:

X=4

Step-by-step explanation:

The solution is in the file

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