What is the tangent ratio of side b

Answer:

f(x) = 6x + 30; 30 ≤ y ≤ 54

Step-by-step explanation:

The y-intercept of the function must be 30 because they started out with 30 clients and the slope is 6 so the function is f(x) = 6x + 30. As for the range, when 0 ≤ x ≤ 4, 30 ≤ y ≤ 54.

Answer:

x=10

Step-by-step explanation:

set it up and solve

2x-1=x+9

2x=x+10

x=10

Answer:

hi i did calculations and my ans is coming (A) 8x - 12

Step-by-step explanation:

Answer:

a: -3n+1

b:-5n-2

Step-by-step explanation:

a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)

b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.

Hope this helps :),

Lily

Answer:

fsdfsdf

Step-by-step explanation:

ghlvlc

Answer:

A=13, b= 28, c= 6 d=22 e=31

Step-by-step explanation:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

Answer:

A=13

B=28

C=6

D=22

E=31

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you dilate by a factor of 0, this doesn't really make sense because the length of each side is multiplied by 0, and the shape basically doesn't exist anymore. When you multiply by a scale factor of 1, the figure does not change in size at all. When you dilate by a scale factor of 5, each side length gets 5 times larger, meaning that this is not a reduction. Hope this helps!

Answer:

  5 times 5 times 5 times 5 times 5 times 5

Step-by-step explanation:

  [tex]5^6=\boxed{5\times 5\times 5\times 5\times 5\times 5}[/tex]

An exponent is used to signify repeated multiplication. It tells how many times the base is a factor of the product. Here, the base is 5, and it occurs 6 times in the product.

Answer:

5 times 5 times 5 times 5 times 5 times 5

Step-by-step explanation:

Answer:

240, 1800, 2040

Step-by-step explanation:

First find the surface area of the shape - base = 3 x 15 x 2 + 40 x 15 + 40 x 3 x 2 = 930 m ^2

Now find the area of base = 40 x 15 = 600

Now, the cost of painting = 10 pounds for 25 m^2. SO here cost = 600 / 25 x 10 = 24 x 10 = 240 pounds.

Now cost of tiles  = 600 x 3 = 1800

Total cost = 1800 +240 = 2040

Answer:

V = 672 cm³ (Option 3)

Step-by-step explanation:

Volume of Rectangular Prism = [tex]Length * Width * Height[/tex]

Where L = 14 cm, W = 6 cm and H = 8 cm

V = 14 * 6 * 8

V = 672 cm³

Answer:

-1/8

Step-by-step explanation:

When slopes are perpendicular that means it's completely opposite.

The opposite of 8 is 1/8

But 8 is positive that means we have to make the pereldicular slope negative

Therefore your answer is -1/8

Hope this helps p,z mark brainliest!

Answer:

-1/8

Step-by-step explanation:

Answer:

$0.40 per oz

Step-by-step explanation:

given that the cereal is $3.60 for a 9 oz box

i.e

9 oz ----> costs $3.60

1 oz ----> costs $3.60 ÷ 9 = $0.40

hence the unit rate is $0.40 per oz

Answer:

0.40 per ounce

Step-by-step explanation:

The question asks is to find the unit rate, or price per ounce.

To find this, we need to divide the price by the number of ounces.

price/ ounces

It costs $3.60 for 9 ounces of cereal.

$3.60/9 ounces

Divide $3.60 by 9 (3.60/9=0.4)

$0.4/ounce

It costs $0.40 per ounce of cereal.

Answer:0.0041617435341797

Step-by-step explanation:

j

the probability that exactly 1 out of 10 randomly chosen people favor the new building project is approximately 0.2791, or 27.91%.

To calculate the probability that exactly 1 out of 10 randomly chosen people favor the new building project, we can use the binomial probability formula.

The formula for calculating the probability of getting exactly k successes in n trials, each with a probability of success p, is:

P(X = k) = C(n, k) * [tex]p^k * (1 - p)^{(n - k)[/tex]

In this case, n = 10 (number of trials), k = 1 (number of successes), and p = 0.55 (probability of success).

Using the binomial coefficient formula C(n, k) = n! / (k!(n - k)!), we can calculate the probability:

P(X = 1) = C(10, 1) * (0.55)¹ * (1 - 0.55)⁽¹⁰⁻¹⁾

P(X = 1) = 10 * (0.55)¹ * (0.45)⁹

P(X = 1) ≈ 0.2791

Therefore, the probability that exactly 1 out of 10 randomly chosen people favor the new building project is approximately 0.2791, or 27.91%.

Learn more about probability here

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Answer:

Fractional Expression for how much each person pays = (64.04/4)

Each person pays $16.01.

Step-by-step explanation:

Complete Question

Write an expression using fractions to show how to determine the amount that each person will pay. Then calculate each person's contributions showing all steps in long division.

The total of the bill is $64.04 and there are 4 people splitting the bill.

Solution

Total amount to be shared equally by 4 persons = $64.04

Fractional Expression for how much each person pays = (64.04/4)

Long division method to do this division.

     16.01  

4 | 64.04

      4  

    24

    24

      00

    0

    04

      4

    0

Each person pays $16.01.

Hope this Helps!!!

Answer:

Add 4x to both sides

Step-by-step explanation:

on Edge

Answer:

The answer is option A

Hope this helps

Answer:

5

Step-by-step explanation:

Rearrange and simplify

0.8w - 7/2 = 1/2

0.8w = 4

w = 5

Hope this helps

Answer:

The answer would be 5

Step-by-step explanation:

Answer:

1)

2/5 ≠ 10/15= 2/3 not equivalent

3/7 ≠ 6/7  not equivalent

9/7 = 1 2/7 = 9/7 equivalent

2)

a) 50/75 = 25*2/25*3= 2/3

b) 65/105 = 5*13/5*21= 13/21

c) 18/81 ​= 9*2/9*9= 2/9

Answer:

14

Step-by-step explanation:

5x-7=3x+21

2x=28

x=14

Answer:

14

Step-by-step explanation:

Subtracting 3x and adding 7 to both sides we get 2x = 28. Dividing the equation by 2 gets us x = 14.

Answer:

  132 mm^2

Step-by-step explanation:

The line added to the figure in the attachment shows it can be divided into two figures whose area is easily calculated.

  1. A parallelogram of base length 20 mm and height 4 mm:

     A = bh = (20 mm)(4 mm) = 80 mm^2

  2. A trapezoid with bases 32 mm and 20 mm, and height 2 mm:

     A = (1/2)(b1 +b2)h = (1/2)(32 mm +20 mm)(2 mm) = 52 mm^2

The total area of the figure is then ...

  80 mm^2 +52 mm^2 = 132 mm^2

Answer:

y = -1/18x - 89/18

Step-by-step explanation:

Step 1: Find the slope of the perpendicular line

Do this by taking the negative reciprocal of the original line

m = -1/18

Step 2: Find b

y = -1/18x + b

-5 = -1/18(1) + b

-5 = -1/18 + b

b = -89/18

Step 3: Rewrite entire equation

y = -1/18x - 89/18

Answer:

Option A is the correct

Step-by-step explanation:

a=d+c/b

Now we have to solve for d

Multiplying b on both sides

a*b=d+c/b*b

ab=d+c

ab-c=d

I hope this will help you:)

Answer:

P = 40 cm

A = 51 cm^2

Step-by-step explanation:

Perimeter: Add the lengths of all sides. The sides whose length are not shown can be calculated by subtraction.

perimeter = 3 cm + 12 cm + 8 cm + 3 cm + (8 cm - 3 cm) + (12 cm - 3 cm) =

= 3 cm + 12 cm + 8 cm + 3 cm + 5 cm + 9 cm

= 40 cm

Area:

You can find the area by calculating the sides of smaller rectangles and adding the areas. You can also calculate the area by thinking of a large rectangle from which a smaller rectangle inside was removed. I'll use the second method.

area of larger rectangle = 12 cm * 8 cm = 96 cm^2

area of removed rectangle = (8 cm - 3 cm) * (12 cm - 3 cm) = 5 cm * 9 cm = 45 cm^2

shaded area = 96 cm^2 - 45 cm^2 = 51 cm^2

Answer: C.

Step-by-step explanation:

If the figure gets rotated 270ᴼ, then all of the transformed sides are perpendicular to the sides of the original figure.

The slope of DE is 2/4 (2 units up, 4 units over) or 1/2. If D’E’ is perpendicular to DE, then the slopes have negative reciprocals.

DE’s slope: 1/2

D’E’ slope: -2/1 or -2 (down 2, over 1)

Answer:

They both intersect eachother

Step-by-step explanation:

Answer: maximum point at (-3, 2)

Step-by-step explanation:

The vertex is either the highest or lowest point in the graph. You can see on that graph that the vertex is (-3, 2) because it the x-value -3 points from 0, and the y-value is 2 points from 0. You can also see that the vertex is the highest point on the graph because no points are above it, so it is the maximum value.

Answer:

HI/JK

Step-by-step explanation:

The ratio of similarity for the sides of the triangle is, KL/IL = HL/JL = HI/JK.

In mathematics, the term "congruence" is used in a variety of contexts, each denoting a harmonic relationship, understanding, or correspondence.

As per the given data:

We are given two triangles ΔHLI and ΔJLK.

We are also given that both the traingles are similar to each other by the SSS similarity theorem.

Furthermore, we have to find out the similar ratios of the sides of the triangles.

As we are given ΔHLI ≈ ΔJLK.

According to the SSS postulate:

KL = IL ----- (1)

HL = JL ----- (2)

HI = JK ------ (3)

From equation (1), (2) and (3) we get:

KL/IL = HL/JL = HI/JK

Therefore, we have found the ratio of similarity for the sides of the triangle as, KL/IL = HL/JL = HI/JK

Hence, the ratio of similarity for the sides of the triangle is, KL/IL = HL/JL = HI/JK

To learn more about congruent triangles, click:

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Answer:

Sphere Volume = (4/3) * PI radius^3

Sphere Volume = (4/3) * 3 * 3 * 3 * PI =

4 * 3 * 3 * PI =

36 PI

Answer is d 36 PI cubic feet

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

The sum of all angles in a triangle is 180. To solve for a missing angle in a triangle you subtract them from 180

180-65-38=77

Answer:

Angle m = 77

Step-by-step explanation:

The whole triangle shoud equal 180, so all you need to do is substact 38 and 65 from 180. 180-38-65 = 77.

Answer:

New dimensions are; Width = 12m and Length = 12m

Step-by-step explanation:

Let length of rectangle be L

Let width be W

Area of rectangle has a formula;

Area = Length x Width = LW

We are given the area = 144 m²

So,

LW = 144 - - - (eq1)

Now, we are told that width is doubled and length is decreased by 12m but area remains the same.

Thus, we have;

Width as 2W and Length as L - 12.

Area = 2W(L - 12)

So,

2W(L - 12) = 144 - - - (eq2)

Equating eq 1 and 2,we have;

LW = 2W(L - 12)

W will cancel out to give;

L = 2(L - 12)

L = 2L - 24

2L - L = 24

L = 24m

From equation 1, LW = 144

Thus; W = 144/L = 144/24

W = 6m

So new design of rectangle now has a dimension of;

Width = 2W = 2 × 6 = 12m

Length = L - 12 = 24 - 12 = 12m

So, new dimensions are; Width = 12m and Length = 12m