1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fredd [130]
3 years ago
15

May someone please help with the way please

Mathematics
1 answer:
Oksana_A [137]3 years ago
5 0

Answer:

17.6 m²

Step-by-step explanation:

Given the ratio of similar shapes = a : b, then

area of shapes = a ² : b²

Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is

PT : PR = 6 : 9 = 2 : 3, thus

ratio of areas = 2² : 3² = 4 : 9

let the area of Δ PQT be x, then using proportion

\frac{4}{x} = \frac{9}{x+22} ( cross- multiply )

9x = 4(x + 22) ← distribute

9x = 4x + 88 ( subtract 4x from both sides )

5x = 88 ( divide both sides by 5 )

x = 17.6

Thus area of Δ PQT = 17.6 m²

You might be interested in
Which inequality is NOT true when x= -2?
Levart [38]

Answer: D

Step-by-step explanation:

-7 isn't greater than -4

3 0
3 years ago
Click and drag like terms onto each other to simplify fully <br> -2x+1+7x-3y
erma4kov [3.2K]
After it is fully simplified, it will be 5x+1-3y
7 0
3 years ago
Find at least three nonzero terms​ (including a 0 and at least two cosine terms and two sine terms if they are not all​ zero) of
Ainat [17]
You could subtract the denominator fro the numerator which would give you a total sum of 1 thousand an fifty five
7 0
3 years ago
During the grand opening of the T-Shirt Shack at the Madera County Emu Farm, four of the emus broke through the fence and attack
Irina-Kira [14]

Given :

p = 0.68

margin of error, E = 0.1

99% confident interval

alpha, α = 1 - 0.99

             = 0.01

$\frac{\alpha }{2}=\frac{0.01}{2} = 0.005$

∴ $z_{\alpha/2}=z_{0.005}=2.5758$ (z-critical value)

Sample size = $z_{\alpha/2} \times \frac{p(1-p)}{E^2}$

                    $=(2.5758)^2 \times 0.68 \times \frac{(1-0.68)}{0.1^2}$

                    $= 6.63475 \times 0.68 \times \frac{0.32}{0.01}$

                   = 144.37

                  = 145 (rounded off)

Therefore, there are 145 businesses does she need to sample to meet this criteria.

6 0
3 years ago
A 1200 kg car rolling on a horizontal surface has speed v = 50 km/h when it strikes a horizontal coiled spring and is brought to
tangare [24]
When the car is moving, it has Kinetic Energy. As soon as the car entercount with the spring, its Kinetic Energy will transfer to Elastic Potential Energy. 

<span>KE = EPE </span>
<span>1/2mv^2 = 1/2kx^2 </span>

<span>change the speed into m/s </span>
<span>50 km/hr = 13.9 m/s </span>

<span>1/2(1200)(13.9)^2 = 1/2k(2.2)^2 </span>

<span>now you do the math to solve for k.
k= 115926/2.42
K= 47903.30</span>
8 0
3 years ago
Other questions:
  • A country's population in 1991 was 147 million. in 1998 it was 153 million. Estimate the population in 2017 using the exponentia
    13·1 answer
  • PLEASE HELP!!! WILL AWARD BRAINLIEST!!! you work a part-time job earning 6.80/hr with tips that average 2.30/hr you work 20 hr/w
    10·2 answers
  • A/-2-5=0<br> A=-10;a=0;a=10
    13·1 answer
  • What is 3х + 9 = -12???????
    15·2 answers
  • There are 154 players on 11 teams . How many players are on one team
    8·1 answer
  • Find the value of x and HI. H and J are the endpoints​
    8·1 answer
  • Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in t
    5·1 answer
  • Inequalities always have just one solution. True or False
    15·1 answer
  • This is so annoying. I need help ASAP
    11·2 answers
  • Find x and y <br><br> pls help
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!