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2 years ago

What is the perimeter,in centimeters of triangle QRS?

Mathematics

1 answer:

Oxana [17]2 years ago

6 0

Answer: 60

Step-by-step explanation:

You have to use Pythagorean Theorem because the other side is not listed of the triangle

Pythagorean Theorem: a² + b² = c²

a² + 20² = 25²

a² + 400 = 625

625-400 = a²

a² = 225

Find the square root of 225 to find the missing length

$\sqrt{225}$ = 15 (this is the missing length for QS

To find the perimeter, add all the sides...

15 + 20 +25 = 60

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A ring toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water.

anastassius [24]

Answer: 270 in cubic meters

270^3

Step-by-step explanation:

V=LxWxH

= 2cm x 9cm x 15cm

=270cm^3

5 0

3 years ago

Element X decays radioactively with a half life of 13 minutes. If there are 830 grams of Element X, how long, to the nearest ten

Nonamiya [84]

Answer:

26.92 min

if I'm not wrong!

4 0

2 years ago

Rich also has £400 pounds invest 3% compound interest . How many years does he need to invest the money to get at least £475

zepelin [54]

Answer: 6 years

Step-by-step explanation:

Formula to calculate compound amount: $A=P(1+r)^t$ , where P= Principal , r=rate of interest, t= time

Given: P = £400, r = 3% = 0.03 , A= 475

Required equation: $400(1+0.03)^t\geq475$

$400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875$

Taking log on both sides , we get

$t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6$

Hence, he needs to invest the money for 6 years to get atleast £475.

7 0

2 years ago

HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

attashe74 [19]

It's (5,7). This is a translation. (x-4) means moving the x coordinate to the left 4 times. If it was positive it would move to the right. (y+15) moves the y coordinate to the right 15 times also would move to the left if negative.

8 0

3 years ago

bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. net weights actually vary slightly from bag to ba

Alisiya [41]

Answer:

Power of test = 0.1

Step-by-step explanation:

The value of power of function is called Power of test. The Power function of testing hypothesis would be defined as the probability of rejecting H₀ while H₀ is false.

Power of test is denoted as 1-β which is expressed as P(x ∈ W I Ha)

in our case P(x ≥ 0, Hₐ)

Under Hₐ μ = 13.8 then we know that, Z = {x - E(x)}/(σ/√n)

where x = 13.88, σ, 0.25, n = 16, Hₐ μ= 13.8 = E(x) [x.....Normal distribution]

Z = (13.88 - 13.8)/((0.25)/(√16)) = 1.28

Therefore 1-β = P(z ≥ 1.28) = 0.5 - 0.3997 = 0.1, (from z table values)

hence, the power of our test when μ = 13.8 is 0.1

6 0

3 years ago