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Answer:

y = 8 root 2

Step-by-step explanation:

Since it is a 90-45-45 triangle, y is s root 2

s = 8

so, y = 8 root 2

Answer:

y=8√2

Step-by-step explanation:

Because 2 of the angles are the same, the triangle is isosceles (because of base angles theorem). Therefore, x=8. Using Pythagoras theorem, y=8√2.

Answer:

33.75

Step-by-step explanation:

The volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

It is given that the prism is 5 feet tall whose base is a right triangle with leg lengths of 3/2 feet and 9 feet.

It is required to find the volume of the prism.

It is defined as a three-dimensional space enclosed by an object or thing.

We have 5 feet tall prism ie.

height of the prism h = 5 feet

and base b = 3/2 feet

and length = 9 feet

We know the volume of the right triangle prism is given by:

[tex]\rm V = \frac{b\times h\times l }{2}[/tex]

Putting the values of b, h, and l, we get:

[tex]\rm V =\frac{\frac{3}{2} \times 5\times 9}{2}[/tex][tex]\rm V = \frac{3 \times 5\times 9}{2\times2} \Rightarrow \frac{135}{4}[/tex]

V = 33.75 cubic feets

Thus, the volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.

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Answer:

(20,280) and (10,300)

Step-by-step explanation:

It was the correct answer on the practice question

Answer:

Edmentum/Plato

Answer:

x=3

Step-by-step explanation:

3 times 3 is 9

Answer:

X=3

Step-by-step explanation:

Given:

The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."

To find:

Whether the given statement in true or false.

Solution:

Area of circle is

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is

[tex]A_1=\pi (r_1)^2[/tex]

The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:

[tex]r_2=1.5r_1[/tex]

The area of the new circle is

[tex]A_2=\pi (r_2)^2[/tex]

[tex]A_2=\pi (1.5r_1)^2[/tex]

[tex]A_2=2.25\pi (r_1)^2[/tex]

[tex]A_2=2.25A_1[/tex]

The area of the new circle is 2.25 times the area of the original circle.

Therefore, the given statement is false.

Step-by-step explanation:

When you divide by a number, you basically are multiplying by the reciprocal

The reciprocal of 2 is 1/2

4/10 ÷ 2 = 4/10 × 1/2 = 2/10

4/10 × 1/2 = 2/10

Using a number line,

Start at 4/10 and move down by 2 until you reach 0

Start at 4/10 and move up by 1/2 from 0 until you reach 4/10

(Count the number of humps)

Both will be the same

Answer:

3y=49

Step-by-step explanation:

yeppp I'm pretty sure

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

Answer:

1

Step-by-step explanation:

Two ordered pairs that can be seen are (0,1) and (1,2)

Using delta y/ delta x,

(2-1)/(1-0) = slope

slope = 1/1

slope = 1

Answer:

slope = 1

Step-by-step explanation:

To find the slope of the line, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], in which [tex]m[/tex] represents the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.

Thus, locate two points on the line. We can see that the line intersects (-1,0) and (0,1), thus we can use them for the formula. (Any other two points that are also on the line will also work.) Substitute their x and y values into the appropriate places in the formula and solve:

[tex]m = \frac{(1)-(0)}{(0)-(-1)}\\m = \frac{1-0}{0+1} \\m = \frac{1}{1} \\m = 1[/tex]

Thus, the slope is 1.

Answer:

The angle x, has the measurement of 40°

Step-by-step explanation:

Step 1:  Define complementary angles

Complementary Angles: Two angles are complementary when the sum of them is equal to 90°.  For example, 30° and 60° are complementary because they add up to 90°.

Step 2:  Figure out the complementary angle

Since ∠ABD and ∠DBC are complementary, that means that they should add up to 90°.  Since the angle value of ∠ABD is 50°, that means that the angle value of ∠DBC should be 90° - 50° = x.

90° - 50° = x

40° = x

Answer: The angle x, has the measurement of 40°

Answer:

3.8 months

Step-by-step explanation:

Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded

quarterly. Assuming no deposits or withdrawals are made, how long would it take, to

the nearest year, for the value of the account to reach $51,800?

First step! What is 5.3% of 36k?

1,908

Second Step! Divide

51,800/1,908= 27.1488469602

Third Step! Round

27.1488469602= 27.1

27.1 weeks.

7 weeks in a month.

12 months in a year.

27.1/7= 3.8

3.8 months

The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the number years be represented as b

where the amount after b years is = $ 51,800

The initial principal amount P = $ 36,000

The number of times the compound interest is applied = quarterly = 4

Now , the equation is

A = P ( 1 + r/n )ⁿᵇ

On solving for the number of years b , we get

b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]

b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )

On further simplification , we get

b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )

b = 6.911 years

On rounding to the nearest year , we get

b = 7 years

Therefore , the value of b is 7 years

Hence , the number of years is 7 years

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Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

[tex]\frac{5}{150}[/tex]=[tex]\frac{x}{60}[/tex]

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

Answer:

-47(-35)(-73)

1645×-73

-120 085

ans: -120 085

Answer:

-47(-35)(-73)

1645×-73

-120 085

ans: -120 085

Step-by-step explanation:

Answer:

15x^2+5x^3+9

Step-by-step explanation:

(7x^2+8x^2)+5x^3+9

15x^2+5x^3+9

Answer: Annual Income Is $192000

Step-by-step explanation:

firstly know one month income we divide by 48000 by 3

= 16000

we know one month income 16000

than we for know annual income we multiply by 12

16000×12 =192000

annual income is $192000

Answer:

[tex]n^{2}[/tex]

Step-by-step explanation:

1, 4, 9, 16

1=[tex]1^{2}[/tex]

4=[tex]2^{2}[/tex]

9=[tex]3^{2}[/tex]

16=[tex]4^{2}[/tex]

so, the fifth term is [tex]5^{2}[/tex] = 25

Given:

[tex]h(1)=9[/tex]

[tex]h(n)=h(n-1)\cdot (-3)[/tex]

To find:

The explicit formula for h(n).

Solution:

We have,

[tex]h(n)=h(n-1)\cdot (-3)[/tex]         ...(i)

It is the recursive formula of a geometric sequence. It is of the form

[tex]a(n)=a(n-1)\cdot r[/tex]         ...(ii)

where r is the common ratio.

On comparing (i) and (ii), we get

[tex]r=-3[/tex]

We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].

The explicit formula for a geometric sequence is:

[tex]h(n)=ar^{n-1}[/tex]

Substitute a=9 and r=-3 to get the explicit formula for the given sequence.

[tex]h(n)=9(-3)^{n-1}[/tex]

Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].

Answer: All three methods would be easy and effective

Step-by-step explanation:  

Answer:

38

Step-by-step explanation:

180-42

Answer:

38

Step-by-step explanation:

A + 142 = 180 {Linear pair}

         A = 180 - 142

        A = 38

Answer:

b + b + h + h and since you have two of each you can say 2b + 2h.

Answer:

haha i know this riddle

Step-by-step explanation:

there is a guy and he has had a son, and his son has also had a son, so there are technically 3 guys, but 2 fathers and 2 sons

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

24−4x=2x

24+−4x=2x

−4x+24=2x

Step 2: Subtract 2x from both sides.

−4x+24−2x=2x−2x

−6x+24=0

Step 3: Subtract 24 from both sides.

−6x+24−24=0−24

−6x=−24

Step 4: Divide both sides by -6.

−6x /−6  = −24 /−6

x=4

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equations.

==> 24-4x=2x

==> 24 = 2x+4x

==> 24 = 6x

===> x = 24/6

===> x = 4

Answer:

It’s already solved for y

y = x - 4

Step-by-step explanation:

If it’s for x,    X = y + 4

Answer:

A

angle 1 + angle 4 is equal to 180

if angle 4 = 127, angle 1 must equal 53

Step-by-step explanation:

Answer:

One property of rectangles is that the diagonals of rectangles bisect each other, meaning 2 of JN is equal to JL.

We can form an equation off of this, 2(x+3) = 3x + 1 and then solve for x    

2(x+3)= 3x + 1                     First, distribute the 2 to each term in x+3,

the result should be:

2x + 6 = 3x+ 1          then subtract 2x from both sides

-2x        -2x

the result should be :

 6 = x + 1             subtract 1 from both sides

-1         -1

the result should be x=5

plug that into the equations and JN= 5+3, JL=15+1

The two correct options are

NM = 8  ( both of the diagonals are equal to eachother )

JL = 16

Answer:

a square

Step-by-step explanation:

a square is a parallelogram whose sides are all the same length

Answer:

square

Step-by-step explanation:

a square has 4 sides with all the same length

Answer:

15

Step-by-step explanation:

9/6=x/10

why? they segments are similar