the perimeter of a triangle is 12b+5. Two sides have the following length:4b and 3b+15. What is the length of the third side?

Answer:

Step-by-step explanation:160

Side CD has a length of 11.67

Answer:

[tex]-\frac{15}{4}[/tex]

Step-by-step explanation:

To find the slope or the gradient of a line you have to utilise the formula

[tex]\frac{y2-y1}{x2-x1}[/tex]

Y₂ = -7

Y₁ = 8

X₂ = 7

X₁ = 3

So,

[tex]\frac{-7-8}{7-3}[/tex]

→ Simplify

[tex]-\frac{15}{4}[/tex]

By using the given points, we will see that the slope is -15/4.

If we know that a given line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

[tex]s = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here the line passes through the points (3, 8) and (7, -7).

Using the above formula, we can see that the slope is:

[tex]s = \frac{-7 - 8}{7 - 3} = \frac{-15}{4}[/tex]

If you want to learn more about linear equations, you can read:

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Answer:

x=4 , y=1

Step-by-step explanation:

y = 2x-7

y = -x +5

Set them equal to each  other

2x-7 = -x+5

add x to each side

2x+x-7 = -x+x+5

3x-7 = 5

Add 7 to each side

3x-7+7 = 5+7

3x = 12

Divide by 3

3x/3 = 12/3

x=4

Now find y

y = -x+5

y = -4 +5

y = 1

Answer:

C. 48 [tex]ft^2[/tex]

Step-by-step explanation:

The formula for finding the area of a triangle is:

[tex]\frac{1}{2}bh[/tex]

The "[tex]b[/tex]," is the base (10), and the "[tex]h[/tex]," is the height (9.6), so plug it in:

[tex]\frac{1}{2} (10)(9.6)\\[/tex]

[tex]\frac{1}{2} (96)[/tex]

48 [tex]ft^2[/tex]

Answer:

20

Step-by-step explanation:

hope it right not the best with counting

Answer:

26√3

Step-by-step explanation:

4√3+11√12

We know that sqrt(ab) = sqrt(a) sqrt(b)

4√3+11[tex]\sqrt{4} \sqrt{3}[/tex]

4√3+11*[tex]2 \sqrt{3}[/tex]

4√3+22 [tex]\sqrt{3}[/tex]

Combine like terms

26√3

Answer:

[tex]26\sqrt{3}[/tex]

Step-by-step explanation:

Simplify them:

[tex]11\sqrt{12} = 22\sqrt{3}[/tex]

[tex]22\sqrt{3}+4\sqrt{3}=26\sqrt{3}[/tex]

Answer:

5 units

Since they both have the same y value, just subtract the a value's x from the b's x value

Answer:

B

Step-by-step explanation:

the mean goes up more than the median

Answer:

it should be $6.30

Step-by-step explanation:

i put it in 2 different ways:

42x.15 and 42x15% both gave me 6.3

Answer:

5*7=35 square units

Step-by-step explanation:

area of parrelogram =B×h

plzz mark me brainliest

Answer:

Step-by-step explanation:

Assuming the price of 1 pizza is $x. Total number of pizzas is 3.

Considering the first deal,

10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x

The cost of the remaining two pizzas is 2 × x = 2x

The total amount to be paid is

2x + 0.9x = $2.9x

Considering the second deal, 30% off the bill would be

30/100 × 3x = 0.9x

The amount to be paid is

3x - 0.9x = $2.1x

Therefore, I prefer the second deal

Answer:

Area of rectangle, [tex]A=\dfrac{99}{8}\ \text{inch}^2[/tex]

Step-by-step explanation:

We have,

A rectangle that measures [tex]4\dfrac{1}{2}\times 2\dfrac{3}{4}[/tex].

It is required to find the area of the rectangle

The product of length and breadth of a rectangle is called its area. It can be calculated as :

[tex]A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2[/tex]

So, the area of the rectangle is [tex]\dfrac{99}{8}\ \text{inch}^2[/tex].

Answer:

h_max = 12.56 units

(the exercise does no specify the units)

Step-by-step explanation:

You have the following function:

[tex]h(t)=-16t^2+6t+12[/tex]    (1)

To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:

[tex]\frac{dh(t)}{dt}=-32t+6[/tex]

Next, you equal the result of the derivative to zero and you obtain t:

[tex]-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}[/tex]

Then, you replace this value of t in the equation (1) and you obtain the maximum height:

[tex]h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12[/tex]

[tex]h(t)=12.56[/tex]

hence, the maximum height is 12.56 units

Answer:

B. 796 sq ft

Step-by-step explanation:

All of these shapes are rectangles.

The formula for the area of a triangle is length x width.

Dining Room

26 x 14 = 364

Bedroom

14 x 8 = 112

Enclosed Porch

20 x 16 = 320

Then you add all of the products.

364 + 112 = 476

476 + 320 = 796

Answer:

1099 inches

Step-by-step explanation:

We know that formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi 5^2*14[/tex]

[tex]V=\pi 25*14[/tex]

[tex]V=\pi 350[/tex]

[tex]V=3.14*350[/tex]

[tex]V=1099[/tex]

Answer:

1099

Step-by-step explanation:

Answer:

the answer is not b

Step-by-step explanation:

The random sampling used is stratified random sampling

The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.

This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.

Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.

Given data ,

Mark used a stratified random sampling method by dividing the list of students into boys and girls and drawing from each group in proportion to their numbers in the population. This method helps ensure that the sample is representative of the population in terms of gender.

Hence , the sample is likely to represent the population. Answer: C. Yes, stratified random sampling.

To learn more about simple random sampling click :

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#SPJ3

Answer:

10.8 cm

Step-by-step explanation:

Using cosine law

g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)

g² = 116.7018433

g = 10.80286274

Answer:

10.8

Step-by-step explanation:

deltamath

Where is the picture at?

Answer:

h<-13/3

Steps:

Move variable to the left side and change its sign

h-4h-8>5

Move constant to right and change its sign

h-4h>5+8

Collect like terms

-3h>5+8

Add the numbers

-3h>13

Divide both sides of the inequality by -3 and flip the inequality sign

h<-13/3

Answer:

d=12

Step-by-step explanation:

7d-28=56

Add 28 to both sides

7d=84

Divide both sides by 7

d=12

Cha Cha Real Smooth indeed! :3

Answer:

d=12

Step-by-step explanation:

first step is to add 28 to both sides and get 7d=84

then divide 84 by 7

d=12

good luck :D

Answer:

The probability is 3/95

Step-by-step explanation:

Okay this is a probability without replacement question.

Firstly we calculate the total number of coins = 7 + 9 + 4 = 20 coins

The probability that the first coin will be a dimes = number of dimes/total number of coins = 4/20 = 1/5

Now she removes a coin without replacement, if it was a dime, total number of coins becomes 19 and the total number of dimes becomes 3; Thus the probability of the second coins being a dimes = 3/19

Thus, the probability of both coins being dimes = probability of first coin being dimes * probability of second coins being dimes

= 1/5 * 3/19 = 3/95

Answer:

Amy now has 7 crayons.

Step-by-step explanation:

2 crayons + 5 crayons = 7 crayons.

Answer:

Amy has 7 crayons now

Step-by-step explanation:

2+5=7

Answer:

A: 2 acute and 1 right

Step-by-step explanation:

A triangle is a polygon that has 3 sides as well as three angles

Triangles can be can be classified based on their three sides as well as their three angles.

Based on their sides, we have 3 types of triangles.

1. Equilateral triangle: This means they have 3 equal sides.

2. Isoceles triangle: They have only 2 equal sides.

3. Scalene triangle: The 3 sides are not equal

Based on their angles, we have 3 triangles.

a. Acute triangle

b. Obtuse triangle

c. Right angle triangle.

One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.

Answer:

The correct option is;

A: 2 acute and 1 right

Step-by-step explanation:

Here we have the definitions of the angles as follows;

The sum of angles in a triangle = 180°

An acute angle is an angle less than 90°

An obtuse angle is an angle more 90 ° but less 180°

A right angle triangle is an angle equal to 90°

∴ A right angle triangle is an angle = 90°

Therefore, we compare each of the options

A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible

B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°

C: 1 acute and 2 right = <90 + 90 + 90 > 180

D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180

Therefore, the only possible correct option is A.

Answer:

10584 inches of paper

Step-by-step explanation:

to find the surface area of a cone the formula you use is A= πr(r+h2+r2)  *you need to divide 16 by two to find the radius 16 is the diameter*

and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches

Answer:

4096

Step-by-step explanation:

You multiply 32 in. by 8 in. by 8 in.

Answer:

4096

Step-by-step explanation:

to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤

Answer:

Step-by-step explanation:

If Mrs. Burdell​'s storage container is 3 feet​ long, 2 feet​ wide, and 8 feet tall, then the volume of the strorage container is expressed as shown;

Volume = Length *Breadth * Height

Volume of the container = 3*2*8 = 48ft³

If she each boxes she is to fit into the storage container has a volume of 1ft³, the total number of boxes she can fit into the container is expressed as:

Number of container = volume of the storage container/volume of a container

= 48ft³/1ft³

= 48 boxes

Since she can fit 48 boxes successfully in her storage tank, then she can fit 44 boxes as well into the storage tank since the total number of boxes the tank can take is greater tan the proposed amount of boxes in question.

So, yes she  fit 44 boxes if each has a volume of 1 cubic foot in her container

Answer:

The range is 12

Step-by-step explanation:

the range is the biggest number minus the smallest

the biggest number is 33

the smallest number is 21

so 33-21=12 so

The range is 12

Answer: 12

Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 33 - 21 or 12.

So the range of this data set is 12.

Answer:

B

Step-by-step explanation:

I graphed the equation, and the highest point was at 3.7 feet in the air, 4 seconds into the flight. See the graph below. Hope this helps!