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3 years ago

What is the value of X A 21 B 41 C 20 D 22

Mathematics

1 answer:

White raven [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Let the bottom be y for the small triangle

So the total length of the bottom is 2y

We can use ratios to solve

x-1 1y

----- = --------

42 2y

Canceling the y's

x-1 1

----- = --------

42 2

Using cross products

2(x-1) = 42

Divide by 2

x-1 = 21

Add 1 to each side

x-1+1=21+1

x = 22

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The height of a wooden pole, h, is equal to 20 feet. A taut wire is stretched from a point on the ground to the top of the pole.

kykrilka [37]

ANSWER

D. 25 feet

EXPLANATION

The height of the wall,h, the taut wire and the distance from the base of the pole to the point on the ground, formed a right triangle.

According to the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.

Let the hypotenuse ( the length of the ) taught wire be,l.

Then

${l}^{2} = {h}^{2} + {b}^{2}$

${l}^{2} = {20}^{2} + {15}^{2}$

${l}^{2} = 400 + 225$

${l}^{2} = 625$

$l= \sqrt{625} = 25ft$

8 0

3 years ago

John read the first 114 pages of the novel, which was 3 less than 1/3 of the novel

Nastasia [14]

Let p = total pages in the book
114 pages of a novel which was 3 pages less than 1/3 
114 was 1/3 total pages - 3 pages 
114 = 1/3p - 3

6 0

3 years ago

Read 2 more answers

1. Indicate whether the number is divisible by 2, by 3, or by 5.(Note: Some numbers may be divisible by more than one of these n

aleksklad [387]

a.2,3,5 450/2=225 450/3=150 450/5=90

b.none

c.2 only 18,652/2=9,326

d.5 only 455/5=91

a.3 and 5

b.3 and 7

c.19

d.7 and 21

a.30

b.18

c.24

d.30

3 0

4 years ago

Mrs.Stone is three times older than her younger daughter, Joyce, but only two times older than her older daughter, Alex. How old

olchik [2.2K]

Answer:

54 years

Step-by-step explanation:

Joyce age = x

Alex age = y

3x = 2y - - - (1)

y - 9 = 2(x - 9)

y - 9 = 2x - 18

-9 + 18 = 2x - y

9 = 2x - y

y = 2x - 9 - - (2)

3x = 2y

3x = 2(2x - 9)

3x = 4x - 18

18 = 4x - 3x

18 = x

Hence,

Mrs stone is 3 * 18 = 54 years

5 0

3 years ago

What is the volume of the square pyramid with base edges 4 m and height 3 m

olya-2409 [2.1K]

16 m³

Step-by-step explanation:

Step 1:

Here we are going to find the volume of square pyramid.

Volume of square pyramid = $(1/3)$ × $(Base)^{2}$ × $(Height)$

Here base = 4 m

Height = 3 m

Step 2:

Volume = (1/3) × (4 × 4) × 3

= 16 m³

5 0

3 years ago