Help me please. Find AC

Answer: 360>5.5+36.41d

Step-by-step explanation:

Answer:

10 square units

Step-by-step explanation:

Base of triangle (b) = 4 units

Height of triangle (h) = 5 units

Therefore,

Area of triangle

[tex] = \frac{1}{2} bh \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]

Answer:

-9>2x+15

Step-by-step explanation:

Answer:

choices 2 and 5

Step-by-step explanation:

Answer:

I can not see the question

Step-by-step explanation:

Please post the question with the picture on your profile so I can attempt it

Answer:

A

Step-by-step explanation:

We will solve this inequality by dividing both sides by -9.

Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.

So we get:

[tex]w>6[/tex]

The only answer that has possible solutions that are greater than 6 is A.

Answer:

39

Step-by-step explanation:

Answer:

78% = 78/100

= 0.78

78% of the 50 i equal 0.78 x 50 = 39

Macy has completed 39 questions

The dilation of an image with a scale factor less than 1 will have the angle proportional to the preimage, and the side lengths have been smaller. Thus, option B) is correct.

The dilation factor has been the scale factor that has been used for the enlargement or reduction of the image. The images with a dilation factor of more than 1 enlarge, while the images with a dilation factor less than 1 shrinks.

The angle of the image with a scale factor less than 1 has been proportional as with shrinking, the angles have been reduced proportionally with the scale factor.

The reduction in scale factor from 1 will shrink the image. The shrinked image will be consist of a smaller size. So there has been a reduction in the side length of the image.

So, with the image with dilation of scale factor less than 1, the angles are proportional while the side length is smaller. Thus option B) is correct.

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Answer:

follow me please and give thanks

Answer =

= (4x - 5)²

= 16x² - 40x + 25

Answer:

180% is equivalent to the decimal 1.8

Answer:

answer is 1.8 hope it helps

Answer:

18

Step-by-step explanation:

Answer:

Simple Interest (SI) = Amount (A) – Principal (P) = 6000 - 5400. = 600

Answer:

1. Robert deposits $ 3000 in State Bank of India for 3 year which earn him an interest of 8%.What is the amount he gets after 1 year, 2 years and 3 years?

Step-by-step explanation:

Solution:

In every $ 100, Robert gets $ 8.

(Since rate is 8% → 8 for every 100)

Therefore, for $ 1 he gets = $ 8/100

And for $ 2000 he gets = 3000 x 8/100 

= $ 240

Simple Interest for 1 year = $ 240.

Simple Interest for 2 year = $ 240 x 2 

= $ 480

Simple Interest for 3 year = $ 240 x 3

= $ 720

Therefore, Amount after 1 year = Principal (P) + Simple Interest (SI)

= 3000 + 240

= $ 3240

Amount after 2 years = Principal (P) + Simple Interest (SI)

= 3000 + 480

= $ 3480

Amount after 3 years = Principal (P) + Simple Interest (SI)

= 3000 + 720 = $ 3720

We observe from the above example that, the Interest cannot be calculated without Principal, Rate and Time.

Therefore, we can conclude that Simple Interest (S.I.) depends upon:

(i) Principal (P)

(ii) Rate (R)

(iii) Time (T)

And therefore, the formula for calculating the simple interest is

Simple Interest (SI) = {Principal (P) × Rate (R) × Time (T)}/100

Amount (A) = Principal (P) + Interest (I)

Principal (P) = Amount (A) – Interest (I)

Interest (I) = Amount (A) – Principal

Answer:

1.2 to 10 o->

2.8 to -10 <- with fully bubbled o

Answer:

Good luck Dude

Step-by-step explanation:

Answer:

i think C

Step-by-step explanation:

[tex]2 \sqrt{13} [/tex]

that is your answer

Answer:

The height of the taller tree is 7.5 feet.

Step-by-step explanation:

I am going to say that:

The height of the shorter tree is x.

The height of the taller tree is y.

The height of shorter tree is 3/5 of the height of the taller tree.

This means that [tex]x = \frac{3y}{5}[/tex]

If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree? ​

This means that [tex]x = 4 + \frac{1}{2} = \frac{8+1}{2} = \frac{9}{2}[/tex]

We want to find y.

[tex]x = \frac{3y}{5}[/tex]

[tex]\frac{9}{2} = \frac{3y}{5}[/tex]

[tex]6y = 45[/tex]

[tex]y = \frac{45}{6}[/tex]

[tex]y = 7.5[/tex]

The height of the taller tree is 7.5 feet.

Answer:

Angle A- Obtuse angle

Angle B- Right angle

Angle C- Reflex angle

Angle D- Reflex angle

Angle E- Acute angle

Angle A is Obtuse angle, Angle B is  Right angle, Angle C is Reflex angle, Angle D is Reflex angle and Angle E is Acute angle

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Obtuse angle is any angle greater than 90°

A right angle is an angle measuring exactly 90°

A reflex angle is an angle that is more than 180 degrees and less than 360 degrees.

Any angle that measures greater than 0° and less than 90° is called an acute angle.

By the definitions of these the angles are

Angle A- Obtuse angle

Angle B- Right angle

Angle C- Reflex angle

Angle D- Reflex angle

Angle E- Acute angle

Hence, Angle A is Obtuse angle, Angle B is  Right angle, Angle C is Reflex angle, Angle D is Reflex angle and Angle E is Acute angle

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Answer:

52920cm

all you have to do is multiply all the numbers together.

sorry if its wrong.

but hope it helps.

have a great day.

Answer:

102

Step-by-step explanation:

area of the square (36) plus the area of the trapezoid (66)

the answer to your question is C

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

Read more about exponential functions at:

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Answer:

3/5

Step-by-step explanation:

Given

[tex]\frac{3}{500} \%[/tex]

Required

Represent as fraction

To do this, we simply multiply 3/500 by 100

[tex]\frac{3}{500} \% = \frac{3}{500} * 100[/tex]

[tex]\frac{3}{500} \% = \frac{3}{5}[/tex]

So, the fraction is 3/5

Answer:

a) The initial height of the rock is of 48 feet.

b) It takes 1 seconds for the rock to reach maximum height.

c) The rock's maximum height is 50 feet.

d) It takes 6 seconds for the rock to land on the ground.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

The height of the ball after t seconds, in feet, is given by:

[tex]h(t) = -2t^2 + 4t + 48[/tex]

Which is a quadratic equation with [tex]a = -2, b = 4, c = 48[/tex]

a) What is the initial height?

This is [tex]h(0) = 48[/tex]. So the initial height of the rock is of 48 feet.

b) How many seconds does it take to reach the maximum height?

This is the value of t at the vertex. So

[tex]t_{v} = -\frac{b}{2a} = -\frac{4}{2(-2)} = 1[/tex]

It takes 1 seconds for the rock to reach maximum height.

c) What is the rock's maximum height?

This is the height of the ball after 1 second. So

[tex]h(1) = -2(1)^2 + 4(1) + 48 = 50[/tex]

The rock's maximum height is 50 feet.

d) How many seconds does it take to for the rock to land on the ground?

This is t for which [tex]h(t) = 0[/tex], so we solve the quadratic equation.

[tex]\bigtriangleup = (4)^2-4(-2)(48) = 400[/tex]

[tex]t_{1} = \frac{-4 + \sqrt{400}}{2*(-2)} = -4[/tex]

[tex]t_{2} = \frac{-4 - \sqrt{400}}{2*(-2)} = 6[/tex]

Time is a positive measures, so it takes 6 seconds for the rock to land on the ground.

Answer:

[tex]Total = \$7800[/tex]

Step-by-step explanation:

Given

[tex]Cost = \$32.50[/tex] per square yard

[tex]Length = 432.0ft[/tex]

[tex]Width = 5.0ft[/tex]

Required

Determine the cost of carpet and installation

First, calculate the area of the carpet

[tex]Area = Length * Width[/tex]

[tex]Area = 432.0ft * 5.0ft[/tex]

[tex]Area = 2160ft^2[/tex]

Convert to square yard

[tex]Area = \frac{2160yd^2}{9}[/tex]

[tex]Area = 240yd^2[/tex]

The cost is then calculated as:

[tex]Total= Area * Unit\ Cost[/tex]

[tex]Total = 240 * \$32.50[/tex]

[tex]Total = \$7800[/tex]