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3 years ago

Katie is going to carpet her living room floor and drew the diagram shown below. What is the total area of carpet she will need?

Mathematics

2 answers:

Simora [160]3 years ago

5 0

Katie will need for her carpet/area of her carpet 194 ft squared

lana66690 [7]3 years ago

4 0

16 x 11 = 176
3 x 6 = 18

176 + 18 = 194 ft squared

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I’m confused on this one

Mandarinka [93]

Remark

If the lines are parallel then triangle RQS will be similar to triangle RTP

From that, all three lines in one triangle will bear the same ratio to all three lines of the second triangle.

Givens

PQ = 8

QR = 5

RS = 15

ST = x + 3

Ratio

QR/RP = RS/RT

Sub and solve

RP = 5 + 8

RP = 13

RT = 15 + x + 3

RT = 18 + x

5/13 = 15 / (18 + x) Cross multiply

5(18 + x) = 195 Remove the brackets on the left.

90 + 5x = 195 Subtract 90 from both sides.

5x = 105 Divide by 5

x = 105/5

x = 21 Answer <<<<<<<

3 0

3 years ago

Find the slope of two points: (-2,-1) and (4,3)

marta [7]

Answer: m = 2/3

$\frac{-1-3}{-2-4}$ = $\frac{-4}{-6}$ = $\frac{2}{3}$

6 0

3 years ago

Solve for x in the diagram below (picture included)

Sever21 [200]

Answer:

Step-by-step explanation:

We know the straight line is equal to 180°, and the three angles that make it are (x+12),100°, and x. We can use the equation 180=(x+12)+100+x to find x.

180=(x+12)+100+x

We can remove the parentheses and combine x plus x to 2x.

180=100+2x+12

100+12=112

180=112+2x

-112 -112

68=2x

÷2 ÷2

34=x

5 0

3 years ago

Fine the distance between the points A(2,-1) & B(-4,2)

nalin [4]

Answer is below........

8 0

3 years ago

Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was −170 feet. Then she continued to hike down

madreJ [45]

Answer: First portion is greater than second portion.

Step-by-step explanation:

Time taken to hiked down a trail = 10 minutes

Change in elevation = (-) 170 feet

Speed is given by

$Speed=\frac{Distance}{Time}\\\\Speed=\frac{170}{10}\\\\Speed=17\text{ feet per minute}$

Similarly,

Time taken to hiked down a trail = 20 minutes

Change in elevation = (-)220 feet

Speed is given by

$Speed=\frac{Distance}{Time}$

$Speed=\frac{220}{20}\\\\Speed=11\text{ feet per minutes}$

So, we can see that first portion of the hike where he hiked down a trail at a steady rate for 10 minutes and her change in elevation was (-) 170 feet, was her rate of change in elevation greater.

<u>As 17 feet per minutes is greater than 11 feet per minutes.</u>

3 0

3 years ago