The longer leg of a right triangle is 1 cm longer than the shorter leg. The hypotenuse is 9 cm longer than the shorter leg. Find the side lengths of the
triangle.
cm
Length of the shorter leg: 0
Length of the longer leg: 0
Length of the hypotenuse: 0
cm
cm

Answer:

18 freshmen, 18 sophomores, 30 juniors, 30 seniors

Step-by-step explanation:

Given ratio

  freshman : sophomores : juniors : seniors

= 320 : 300 : 500 : 510

320 ≈ 300  and  500 ≈ 510

Therefore, 300 : 300 : 500 : 500

Ratio of 300 : 500 = 18 : 30

So  18 : 18 : 30 : 30 best represents the population

Given nos

Ratio:-

Round out

Option A

Answer:

4556.25

Step-by-step explanation:

10:5:8=x:y:18

18/8=2.25

x=2.25x10=22.5

y=2.25x5=11.25

11.25x22.5x18=4556.25

Answer:

60 ft²

Step-by-step explanation:

A = 1/2 × b × h

A = 1/2 × 12ft × 10ft

A = 1/2 × 120 ft

A = 60ft²

Answer:

Answer: x = 10 degrees.

Step-by-step explanation:

Answer:

sin C=20/25=4/5

cos C=15/25=3/5

tan C=20/15=4/3

Step-by-step explanation:

sine is opposite/hypotenuse

cosine is adjacent/hypotenuse

tangent is opposite/adjacent

With ϕ ≈ 1.61803 the golden ratio, we have 1/ϕ = ϕ - 1, so that

[tex]I = \displaystyle \int_0^\infty \frac{\sqrt[\phi]{x} \tan^{-1}(x)}{(1+x^\phi)^2} \, dx = \int_0^\infty \frac{x^{\phi-1} \tan^{-1}(x)}{x (1+x^\phi)^2} \, dx[/tex]

Replace [tex]x \to x^{\frac1\phi} = x^{\phi-1}[/tex] :

[tex]I = \displaystyle \frac1\phi \int_0^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]

Split the integral at x = 1. For the integral over [1, ∞), substitute [tex]x \to \frac1x[/tex] :

[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx = \int_0^1 \frac{\tan^{-1}(x^{1-\phi})}{\left(1+\frac1x\right)^2} \frac{dx}{x^2} = \int_0^1 \frac{\pi2 - \tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]

The integrals involving tan⁻¹ disappear, and we're left with

[tex]I = \displaystyle \frac\pi{2\phi} \int_0^1 \frac{dx}{(1+x)^2} = \boxed{\frac\pi{4\phi}}[/tex]

Answer:

$636.17

Step-by-step explanation:

       First, we need to find the volume of the ball. Then, we will solve for the cost of it.

       Volume of a sphere and solving for the area:

V = [tex]\frac{4}{3}[/tex]πr³

V = [tex]\frac{4}{3}[/tex]π(7.5)³

V ≈ 1767.15 in³

       Now that we have the volume, next we need to find the cost. Since the lead costs $0.36 per in³, and our volume is in in³, we can multiply the volume by the cost.

1767.15 in³ * $0.36 = 636.174

       Money rounds to the hundredth place,

636.174 -> $636.17

          It will cost $636.17 to make one ball.

Answer:

Volume of a sphere = 4/3 Pi r³

if r = 7.5

= 4/3 pi 7.5³

= 4/3 pi 421.87

= 1687.5/3 pi

= 562.5 Pi

= 1767.15 in³

then

1767.15 x 0.36 = 636.17

if 1 in³ costs 0.36$

then 1767.15 in³ costs 636.17$

Answer:

please try do the rest by yourself..Of you didn't get the answer you can ask me through comment..

Answer:

See below ↓

Step-by-step explanation:

ii.

Solving

Answer:

Brainliest please

Step-by-step explanation:

11/2*3/4+1/78=9/8*5/8

5.5*3/4+1/78=9/8*5/8

16.5/4+1/78=9/8*5/8

4.125+1/78=9/8*5/8

4.125+0.013=9/8*5/8

4.125+0.013=1.125*5/8

4.125+0.013=5.625/8

4.125+0.013=0.703

4.138=0.703

the answer is 4.138=0.703

hope this helps

Answer:15

Step-by-step explanation:

3+1/2=3/2

3/2*10=3*5=15

15

According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

  B.) y=csc x

Step-by-step explanation:

The cosecant function has a minimum magnitude of 1, so its range excludes any values in the range -1 < y < 1.

  y = csc(x) . . . has a range that does not include -0.8

Answer:

3

Step-by-step explanation:

Divide 12 by 4 since the ratio is 12 to every 4 inches

=================================================

Here, we have to multiply fractions.

How to Multiply Fractions?

Here are the steps:-

So let's do it.

Step 1:-

[tex]\longmapsto\sf{3=\displaystyle\frac{3}{1}[/tex]

Step 2:-

[tex]\longmapsto\sf{\displaystyle\frac{3}{1} *\frac{7}{10}}[/tex]

[tex]\longmapsto\sf{\displaystyle\frac{21}{10} }[/tex]

We can't simplify this fraction, but there's something else we can do:-

Here's the answer:-

[tex]\boxed{\sf{2\displaystyle\frac{1}{10} }}[/tex]

=====================================================

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

In two years erin grew 7 inches

Step-by-step explanation:

42 - 35 = 7

Answer:

atleast 7 inches

Step-by-step explanation:

35 inches - 42 inches = 7 inches

Two years ago, Erin was 35 inches tall.

To ride the roller coaster at a theme park, she must be at least 42 inches tall. So that means she grew atleast 7 inches

Answer:

i think the answer is d which is 50°

The population model is an exponential decay because it decreases

The exponential model of the population is P = 3000(0.64^1/7)^t

The population decreases by 0.36 every 7 years.

This means that the function is an exponential decay.

An exponential decay function is represented as:

P = a((1 - r)^1/n)^t

Where:

So, we have:

P = 3000((1 - 0.36)^1/7)^t

Evaluate the difference

P = 3000(0.64^1/7)^t

Hence, the exponential model of the population is P = 3000(0.64^1/7)^t

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

1.4.5m/s^2

2.6.25m/s^2

3.15m/s^2

4.0.05m/s^2

Step-by-step explanation:

a=v-u

----

t

27-0

------ = 27/6

6

=4.5m/s^2

u=4.5m/s

v=24.5m/s

t=3.2s

(24.5-4.5)÷3.2

=20/3.2

=6.25m/s^2

v=80m/s

u=50m/s

t=2s

(80-50)÷2

15m/s^2

v=0.80m/s

u=0.50m/s

t=6s

(0.80-0.50)÷6

=0.05m/s^2

Answer:

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 10 = 300

Ans = 300 cubic centimeters

Answer:

Step-by-step explanation:

This is a Geometric Sequence  with common ratio 15/9 = 5/3

25/15  is also =  5/3

So the 10th term = ar^(n-1)

= 9*(5/3)^9

= 893.061 to nearest thousandth.

Answer: the value of x = 5

Answer:

Prescription sunglasses

Medical equipment

Prescription medications

Sunscreen

Step-by-step explanation:

Trust me I just did this assignment

Answer:

The expected value is $375

The profit is $6,500,000

Step-by-step explanation:

15000, 30000, 70000

1/100, 1/200, 1/400

So the expected value of the claim is:

15000 × (1/100) + 30000 × (1/200) + 70000 × (1/400) = 475

Given that an insurance policy sells for $800 and the expected value of the claim is $475.

So, the expected value of the companies profit is = $(800 – 475) = $325.

If the company sells 20,000 policies then the expected profit is = $(20000 × 325) = $6,500,000

Thus, The expected value (to the company) per policy sold is $375 and the expected profit is $6,500,000.

-TheUnknownScientist 72

Answer:

(-16, -4)

Step-by-step explanation:

4x - 13y = -12

x = 2y - 8

Substitute for x:

4(2y - 8) - 13y = -12

8y - 32 - 13y = -12

-5y - 32 = -12

-5y = 20

y = -4

Solve for x:

4x - 13(-4) = -12

4x + 52 = -12

4x = -64

x = -16

Solution to this system: (-16, -4)

I hope this helps!

Answer:

there are two methods

1. graphical method

2. elimination method

3. substitution method

Answer:

$37.70

Step-by-step explanation:

56*.65

pls mark brainliest

To find the exact answer based on the last step, "[tex]2(3)^3+5[/tex]", you must use PEMDAS (attached image below)

          [tex]2(3)^3+5=2*27+5=54+5=59[/tex]

Thus the answer is 59.

Hope that helps!

Answer:

2b³ + 5 = 59

Step-by-step explanation:

Given information,

→ 2b³ + 5

→ b = 3

Let's solve the expression,

→ 2b³ + 5

→ 2(3)³ + 5

→ 2(27) + 5

→ 54 + 5 = 59

Hence, the answer is 59.

Answer:

95 degrees

Step-by-step explanation:

The sum of the measures of a quadrilateral is 360 degrees.  360-105-80-80 = 95 degrees