what would be the answer???

Answer:

i hope this helps you

14.  Each leg is   [tex]21\sqrt{2}[/tex]  units long.

15 (a). The longer leg is [tex]7\sqrt{3}[/tex]  units long

15 (b). The hypotenuse is [tex]14[/tex] units long

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

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

[tex]y = x\sqrt{2}[/tex] where x is the leg and y is the hypotenuse

Let's solve for x

[tex]y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\[/tex]

Now plug in the given hypotenuse y = 42, this leads to,

[tex]x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\[/tex]

---------------------------

For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.

The longer leg is equal to sqrt(3) times the short leg. The longer leg is [tex]7\sqrt{3}[/tex]

Answer:

tan 41 = 0.87

sin 63 = 0.89

cos 14 = 0.97

Step-by-step explanation:

No explanation since the question states to use the ALEKS calculator so you just make sure the calculator is in degrees then simply press tan 41 etc.

Answer:

b. 75%

Step-by-step explanation:

Here are all the outcomes of three coin tosses:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

There are a total of 8 possible outcomes.

1 outcome is all heads.

1 outcome is all tails.

6 outcomes have at least one heads and 1 tails

p(at least 1 heads and at least 1 tails) = 6/8 = 3/4 = 75%

Answer:

Step-by-step explanation:

Let's call the first number x.

We can write an equation representing the problem using x:

x+x+20=200 (because the second number is 20 more than the first, or x)

Combine like terms: 2x+20=200

Subtract 20 from each side of the equation: 2x=180

Divide by 2: x=90

The first number is 90, the second number is 110.

Hope this helps!

Answer:

The answer is 6.

Step-by-step explanation:

To find this answer, divide 24 by 3 and you get 8. 8 minus 2 is 6.

Answer:

[tex]p = 43 \: \: \: degrees[/tex]

Answer A is correct

Step-by-step explanation:

[tex]90 + p = 133[/tex]

the sum of the exterior angles in a triangle is equal to the sum of opposite interior angles.

[tex]p = 133 - 90 \\ p =4 3 \: \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: proptional

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

5/9 times 1/2

5/18

I may be wrong sorry

Answer: 20

Step-by-step explanation:

Since these are vertical angles, they are equal to each other.

x+40=3x

40=2x

x=20

Answer:

30 degrees

Step-by-step explanation:

Complimentary = 90 degrees

90 - 60 = 30 degrees

Answer: -4

Step-by-step explanation:reverse the steps

3(x-7)= -9

3(x-7)/3= -9/3

x-7= -3

x= -3+7

x= -4

Answer:

DB

It's the only line that is not a segment.

Step-by-step explanation:

Answer:

54cm³

Step-by-step explanation:

V=0.5*b*h

b = 3*9 = 27cm²

h=4cm

V=0.5*4*27=54cm³

Answer:

False

Step-by-step explanation:

Let us check using Pythagorean Theorem

[tex]c^2 = a^2 + b^2[/tex]

Where c is the hypotenuse (14), a is the base (13) and b is the perpendicular (5)

Putting in the above formula

[tex]14^2 = 13^2 + 5^2[/tex]

196 = 169+25

196 ≠ 194

So, It is not a right angled triangle

Answer:

50

Step-by-step explanation:

f(x) = 8x² - 14x - 10

f(-2) = 8(-2)² - 14(-2) -10

f(-2) 8*4 + 28 - 10

f(-2) = 32 + 28 - 10 = 50

Answer:

1/2

Step-by-step explanation:

The slope is one half, because every time x increases by 1, y increases by 1/2. You can find the slope using the rise over run strategy. You choose a point, and you also choose the point to the right of the point you first chose. You then count how many units up and to the right the right point is.

Its Up/Right.

This version of rise over run however only works when the line is going up.

Answer:

4 years old

Step-by-step explanation:

Harry = H

Brother = B

Aunty = A

Dad = B

H = ½ B

B = A - 28

A = D + 5

D = 31

A = 31 + 5 = 36

B = 36 -28 = 8 years old

H = ½ . 8 = 4 years old

Answer:

x-3

Step-by-step explanation:

f(x) = 3x-2

g(x) = 2x + 1

(f-g)(x) = 3x-2 - (2x+1)

Distribute the minus sign

          =3x-2-2x-1

Combine like terms

        = 3x-2x-2-1

        =x-3

Answer:

1372

Step-by-step explanation:

4x7x7x7=1372:v=4/3 pi r^3

Therefore, 1372 is the value that should be multiplied by Pi in the numerator to correctly show the volume of the sphere.

please mark me brainliest :)

Answer:

no

Step-by-step explanation:

all the numbers are multiples of each two.

For example,

2×2=4,

4×2=8,

8×2=16

So, the line would be linear.

// have a great day //

Answer:

12 units³

Step-by-step explanation:

The required formula is V = (1/3)πr²h, where r is the radius and h is the height.  Here we get:

V = (1/3)π(2)²(9) = (1/3)π(9)(4) = 12 units³

Answer:

motorcycle A: 180 km/h

motorcycle B: 200 km/h

Step-by-step explanation:

To solve this question we need to write a system of equations for A and B, using the equation:

distance = speed * time

The speed of A is 20 less than the speed of B, so:

speedA = speedB - 20

And the time A traveled is 3 minutes (0.05 hours) more than B's time, so:

timeA = timeB + 0.05

Then, using the distance equation, we have that:

distanceB = speedB * timeB

90 = speedB * timeB

distanceA = speedA * timeA

90 = (speedB - 20) * (timeB + 0.05)

90 = speedB * timeB + 0.05 * speedB - 20*timeB - 1

90 = 90 + 0.05 * speedB - 20*timeB - 1

20*timeB = 0.05 * speedB - 1

timeB = (speedB - 20)/400

using this timeB in the distance equation, we have:

90 = speedB * (speedB - 20)/400

90 * 400 = speedB^2 - 20*speedB

speedB^2 - 20*speedB - 36000 = 0

Solving this quadratic equation, we have speedB = 200 km/h

And the speedA is:

speedA = speedB - 20 = 200 - 20 = 180 km/h

Answer:  d) DF ≅ JH

Step-by-step explanation:

Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.

Given: EF ≅HI

Given: DE ≅IJ

Missing: DF ≅ JH

Answer:

Step-by-step explanation:

Answer:

The probability the student studies Art and Biology is 0.2143.

Step-by-step explanation:

Denote the events as follows:

A = a students studies Art

B = a students studies Biology

The information provided is:

N = 42

n (A ∩ B) = 9

n (A' ∩ B) = 10

n (A' ∩ B') = 7

Then the number of students who study Art but not Biology is:

n (A ∩ B') = N - n (A ∩ B) - n (A' ∩ B) - n (A' ∩ B')

               [tex]=42-10-7-9\\\\=16[/tex]

The number of students who study Art but not Biology is 16.

Compute the probability the student studies Art and Biology as follows:

[tex]P(A\cap B)=\frac{n (A\cap B)}{N}[/tex]

               [tex]=\frac{9}{42}\\\\=\frac{3}{14}\\\\=0.2143[/tex]

Thus, the probability the student studies Art and Biology is 0.2143.

Answer: brainliesss plsss

The cost of a service call to fix a washing machine can be expressed

Step-by-step explanation:

The cost of a service call to fix a washing machine can be expressed by the linear function y=45x+35 where y represents the total cost and x represents the number of hours it takes to fix the machine.

Answer:

whats the real answer?

Step-by-step explanation:

Answer:

y=7*3^x

Step-by-step explanation:

y=ab^x

(0,7) ⇒ 7=ab^0 ⇒ 7=a

(5, 1701) ⇒ 1701= 7b^5 ⇒ b^5=243 ⇒ b^5= 3^5 ⇒ b=3

y=7*3^x

Answer: Because all individuals in the sample have the same job, so the sample is biased.

Step-by-step explanation:

Ignoring the fact that 30 is a small sample for a large city, we already know that all the people in the sample has the same profession.

Now, we can expect that two dentists win have around the same income, but not all the residents in the city are dentists

A lot of them work in fast food, others may be lawyers, others may be freelancers.

We have a lot of jobs where the income does not coincide with the average income of a dentist, so with the sample of 30 dentists we are not actually representing all the other possible jobs that there are in the city.

If we want a sample that represents the income of all the residents, we should have a random sample (so the sample is not biased, like in this case).