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3 years ago

5

A 21 foot beam is to be cut into three pieces so that the second and the third piece are each 3 times the length of the first pi

ece if x represents the length of the shorter piece, find the lengths of all three pieces

1 answer:

mylen [45]3 years ago

6 0

x+3x+3x=21

7x=21

x=3

3, 9, 9=21

the answers are 3, 9, and 9

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If the perimeter of a square is 20, find the length of a diagonal

avanturin [10]

Answer:

7.07

Step-by-step explanation:

<h2><u>Length</u></h2>

a square has equal length on each side

hence is the perimeter is 20 it means that :

each side is 20/4 = 5

we can make a diagonal line which create 3 right angled triangles

2 sides of the triangle are 5 , this is the base and the height

to find the length we can make use of the Pythagoras theorem

c^2 = a^2 + b^2

c is the hypotenuse ( the diagonal;)

a and b are the opposite and adjacent

hence :

c^2 = 5 ^2 + 5^2

c^2 = 50

c = $\sqrt{50}$

c = 7.071

to 3sf

<h3><u>diagonal length = 7.07</u></h3>

6 0

3 years ago

If AABC = ADFE determine the values of x and y.

natita [175]

$8y - 5 = 99 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 8y = 99 + 5 \\ \: \: \: \: \: \: \: \: \: \: 8y = 104 \\ \: \: \: \: \: \: \: \: \: \: \: \: y= \frac{104}{8} \\ \: \: \: \ \: \: \: y = 13$

$\: \: \: \: \: \: 2y + x = 38.4 \\ 2(13) + x = 38.4 \\ \: \: \: \: \: \: 26 + x = 38.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 38.4 - 26 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 12.4$

6 0

3 years ago

Drake wants to save $750 so that he can take a class on computer analysis for cars. The class is being held on various dates ove

Galina-37 [17]

Answer: c

Step-by-step explanation:

3 0

3 years ago

In the rectangle ABDF above, C and E are midpoints of sides line ED and line DF, respectively, what fraction of the areas of the

aivan3 [116]

Answer:

Is shaded 5/8 of the area of the rectangle

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of triangle ABC represent 1/4 of the total area

The area of triangle CDE represent 1/8 of the total area

The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE

so

The area of the shaded region is equal to

$(1/4)(1)+(1/8)(3)=(1/4)+(3/8)=(2/8)+(3/8)=5/8$

therefore

Is shaded 5/8 of the area of the rectangle

8 0

3 years ago

Will give brainliest if answer correct// if p(x)= 3x^6 - 5x^5 - x + 7 , then p(2) equals: ??

djverab [1.8K]

$\\ \tt\hookrightarrow p(2)=3(2)^6-5(2)^5-2+7$

$\\ \tt\hookrightarrow p(2)=3(64)-5(32)+5$

$\\ \tt\hookrightarrow p(2)=192-160+5$

$\\ \tt\hookrightarrow p(2)=32+5$

$\\ \tt\hookrightarrow p(2)=37$

Option B is correct

4 0

2 years ago

Read 2 more answers