Vanessa received a $12,000 loan from the bank to buy a motorcycle. She will repay the loan to the bank with an $300 monthly payment.

Answer:

The probability that I will choose a consonant is 62.50%.

Step-by-step explanation:

Given that John has 8 cards that spell the word H O M E W O R K, and he shuffles them and then places them face down, to determine what is the probability he will choose a consonant the following calculation must be performed:

Vowels: 3

Consonants: 5

5/8 = X

0.625 = X

0.625 x 100 = 62.50

Therefore, the probability that I will choose a consonant is 62.50%.

1/√2

Step-by-step explanation:

Imagine a right-angled triangle, for e.g. Triangle ABC,

Where

B = 90°

Remember your Toa Cah Soh.

sin 45° = opposite / hypotenuse

If theta = 45°

Angles A and C = 45° (Sum of angles in a triangle equal = 180°)

Since theta are the same, we can also deduce that the length AB and BC are the same.

Take for example AB = BC = 1 = opposite

By the Pythagorean theorem,

AB² + BC² = AC²

1² + 1² = AC²

2 = AC²

AC = √2 = hypotenuse

Therefore:

sin 45° = opposite / hypotenuse

sin 45° = 1/√2

Answer:

the circumference is 37.7 cm

Answer:

circumference = 37.7

Step-by-step explanation:

in the photo I explained the formula of how to find the circumference

Answer:

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

5+x  +75 = 180

Combine like terms

x+80 = 180

Subtract 80 from each side

x +80-80=180-80

x = 100

Answer:

x=100°

Step-by-step explanation:

(5+x)°+75°=180°(being a straight line)

x=100°

Answer:

33.48

Step-by-step explanation:

Find the diagram attached

Opposite  = 32

Hypotnuse = 58

Sin theta = opposite/hypotenuse

Sin theta = 32/58

Sin theta = 0.5517

theta = arcsin(0.5517)

theta = 33.48

Hence the value of x to the nearest tenth is 33.48

Answer:

Line AC

Step-by-step explanation:

Given

See attachment for triangles

Required

60 degrees clockwise rotation about A

Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]

So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.

The closest is line AC;

Hence, AC is [tex]60^o[/tex] clockwise of point A

Answer:

2−9  

Step-by-step explanation:

You take redundant away, then do subtract, then combine terms. It will give solution.

Answer:

Adobe Family Tools

Step-by-step explanation:

Answer:

0.07

Step-by-step explanation:

To round a decimal to the nearest hundredth, look at the thousandths place.

If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.

If it is smaller than 5, we will keep the number the same.

In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.

The hundredths place value is 0.06, so we will round it up to 0.07.

So, 0.065 will round to 0.07.

Answer:

l=40

Step-by-step explanation:

The area is calculated as

A = wl

1200=30l

1200/30=l

40=l

Answer:

79 inches

Step-by-step explanation:

2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in

rounded

79 inches

Answer:

4.47

Step-by-step explanation:

A squared + B squared = C squared

4*4=16 2*2=4  16+4=20  

the square root of 20 is 4.472135955, rounded to the nearest hundreth is 4.47

Answer:

[tex]\frac{1}{3(x-2)}[/tex]

Step-by-step explanation:

Hi there!

We need to multiply the fractions:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{x^{2}+x-6}[/tex]

Before we multiply, we can cancel out and factor the polynomials to make multiplying easier

First, we can factor x²+x-6

1 (in front of +x) is the sum of two numbers and -6 is the product of those numbers

Those numbers are -2 and 3

so when we factor, we get:

(x-2)(x+3)

here are the fractions so far:

[tex]\frac{x+3}{12x}[/tex]×[tex]\frac{4x}{(x+3)(x-2)}[/tex]

we can cancel out x+3 on both fractions

[tex]\frac{1}{12x}[/tex]×[tex]\frac{4x}{x-2}[/tex]

we can also cancel out 4x from both fractions

[tex]\frac{1}{3}[/tex]×[tex]\frac{1}{x-2}[/tex]

now multiply the fractions together

[tex]\frac{1}{3(x-2)}[/tex]

So the first option is your answer

Hope this helps! :)

Answer:

d = 67.5

e = 22.5

Step-by-step explanation:

d + e = 90

d = 3e

Therefore, we can simply divide 90 by 4, which gives us 22.5, and also tells us what e equals. Then, multiply that by 3 to get d.

Hope that this helps!

Answer:

It's [tex]3x^4+22x^3+31x^2-6[/tex]

Step-by-step explanation:

Area is L times width

LW=H

and the length is [tex]3x^2+4x-1[/tex] times the width [tex]x^2+6x+3[/tex]

basically you multiply yhem togetheer and combine like terms and voila

The answer is 3x^4 + 24x^2 - 6

explanation:

A = l × w

= (3x^2+4x-2)(x^2+6x+3)

=(3x × x) + (4x×6x) + (-2×3)

= 3x^2 + 24x^2 - 6

Answer:

x=10

Step-by-step explanation:

To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, [tex]\sqrt{100}[/tex] = 10.

Answer:

It's 10

Step-by-step explanation:

C^2=A^2+B^2blank

C=√(A^2+B^2)

If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10

Answer:

cone a is the correct answer

the third choice is the cirrect answer.

the cone with a 4.5 cm height and a 8cm diameter

hope this helps :)

Answer: B: 1/8

Step-by-step explanation: the formula for volume of a cube is a^3, so I 1/2^3 = 1/8

your answer is B: 1/8

Answer:

254.47

Step-by-step explanation:

Formula is pi r^2

the radius is 9 which is half of the diameter

pi 9^2

Answer:

(x - 4)(x - 2)

Step-by-step explanation:

x² - 6x + 8

x² - 2x - 4x + 8

x(x - 2) - 4(x - 2)

(x - 4)(x - 2)

Step-by-step explanation:

(x-4)(x-2)=0

x2-2x-4x+8=0

x2-6x+8=0

Answer:

B and C

Step-by-step explanation:

Answer:

Step-by-step explanation:

First function:  even, because both exponents are even; graph is symmetric about the x-axis

Second function:  mixture of even and odd exponents:  not even

Third function:  This is the square root of x - 2; not even

Fourth function:  |x| is even; graph is symmetric about the x-axis

Answer:

89.43

Step-by-step explanation:

a = 670 * (1 * .25)^7

a = 670 * (.75)^7

a = 89.43

Answer:

A. It increased both her intensity and her workout time.

Step-by-step explanation:

A. It increased both her intensity and her workout time.

B. It decreased her intensity but increased her workout time.

C. It increased her intensity but decreased her workout time.

D. It decreased both her intensity and work out time

Last week = 4 miles per day

This week = 5 miles per day

Intensity refers to how hard one exercises.

Workout time refers to how long one exercises the body.

By adding a mile, she has increased how hard she exercises her body (intensity))

And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day

Answer:

for number one it is 6

for number two it is 48

Step-by-step explanation:

please mark brainliest

Answer:

Step-by-step explanation:

1. 3 · 2 (First power) = 3 · 2 = 6

2. 3 · 2 (Fourth power) = 3 · 16 = 48

Answer:

6.50

Step-by-step explanation:

Answer:

6.50

Step-by-step explanation:

the 7 one is too high to make sense and the rest are to low to make sense its a multiple choice question so it probably one mark for correct answer

Answer:

Step-by-step explanation:

there are 18 dogs

Answer:

14

Step-by-step explanation:

So the ratio of dogs (2) to cats (5) is 2:5

How did we go from 5 to 35?

Multiply by 7

So multiply 2 with 7 which is 14

So there are 14 dogs

Hope this helps!