Make sure your answer is in
degrees. You should be able to
find this without a calculator.
-
cos ¹(cos 43°) = [? ]°

Answer:

120 i am sorry if i am wrong

Step-by-step explanation:

the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong

The exterior angle and x form a straight line which need to equal 180.

x = 180-70 - 110

Answer: x = 110

For the given triangle the required measure of angle is 110°.

Use the concept of a triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

Since we know  that,

The angle of a line is 180 degrees.

Therefore, for the given triangle,

x° + 70° = 180°

Subtract 70° on both sides,

x°  = 110°

Hence,

The measure of x° is 110°.

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Answer:

60

Step-by-step explanation:

[tex]\begin{aligned}f(x) & =x^2-4\\\implies f(8) & =(8)^2-4\\& =64-4\\& =60\end{aligned}[/tex]

Answer:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help

Step-by-step explanation:

Expression 3200(1.06)^t represents the enrollment of a high school t years after 2000 will increase by 6%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

The given expression is as follows:-

=  3200 ( 1.06 ) [tex],^t[/tex]

Here when the time has increased the percentage is also increased by 6%.

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Answer:

1. a=3

2. a=3

3. a=9

Step-by-step explanation:

1. 9/a+9-4=12-56/8+3

We move all terms to the left:

9/a+9-4-(12-56/8+3)=0

Domain of the equation: a=0

a∈R

We add all the numbers together, and all the variables

9/a+9-4-8=0

We add all the numbers together, and all the variables

9/a-3=0

We multiply all the terms by the denominator

-3*a+9=0

We add all the numbers together, and all the variables

-3a+9=0

We move all terms containing a to the left, all other terms to the right

-3a=-9

a=-9/-3

a=+3

Answer:

4x + 5x = 180

9x = 180

x = 180/9

x = 180 ÷ 9

x = 20

(a) 12 boys play basketball

(b) See figure 2 below

==========================================================

Explanation:

Part (a)

You are on the right track so far when you wrote the partial table.

There are 15 girls in the class, and 8 girls that play basketball. That must mean 15-8 = 7 girls do not play basketball.

Focusing on the first row only, we'll have 7 go in the second column and 15 go in the third column. The first row is filled out entirely.

There are 32 students and 15 girls. This means there are 32-15 = 17 boys. We'll write 17 at the end of the second row.

The other missing value of this row is 17-5 = 12 to represent the number of boys who play basketball. This is because of the 5 boys that don't play basketball.

To fill out the missing items in the third row, add the columns straight down.

We have 8+12 = 20 basketball players and 7+5 = 12 people who do not play basketball. Notice how 20+12 = 32 along the bottom row to help confirm the correct values.

Check out figure 1 to see the entire two-way frequency table.

We see that there are 12 boys that play basketball.

------------------------------------------------

Part (b)

The previous part detailed how to set up the two-way frequency table.

For this part, we'll be creating the two-way relative frequency table. The keyword "relative" means that we'll divide each item by the grand total 32.

For instance, in the first row & first column we have 8/32 = 0.25; do the same with the other values. Do not round. The reason for this is because each decimal item is a terminal decimal, meaning the digits stop at some point. If your teacher instructs you to round, then be sure to follow those instructions of course.

Check out figure 2 so you can see the two-way relative frequency table.

A result like 0.25 in the first row & first column tells us that 25% of the class is a girl and plays basketball.

Answer:

The answer would be: √x+3=13

Step-by-step explanation:

A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.

The option with √x would be only √x+3=13

Answer:

blue i think good luck

The probability of having cats and dogs is 7/30.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Definitions of Probability Theory Terms

The probability terminology listed below aid in a better comprehension of probability concepts.

Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.

Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.

Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so. For instance, if we roll two dice and receive the total of the two numbers as 4, the possible/favorable possibilities are (1,3), (2,2), and (3,1).

Trial: To conduct a trial is to conduct a random experiment.

Given:

total students = 30

students have cat = 17

student have dog = 17

students have both =7

So, the probability of having cats and dogs

=7/30

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Answer:

 x² - 49

Step-by-step explanation:

  Here a = x and b = 7

(x +7) (a -7) = x² - 7²

                  = x² - 49

Answer:[tex]x^{2} -49[/tex]

Step-by-step explanation:

Answer:

62, since positive doesn't change to negative.

Answer:

D. 29

Step-by-step explanation:

If a = 6 and b = 5, fill in the numbers in place of the variables (letters) in 4a + b

= 4•6 + 5

= 24 + 5

= 29

4a means 4 times a. Multiply first, and then add.

Answer:

$2

Step-by-step explanation:

see photo for solution

Answer:

Sn=a1(1−rn)1−r,r≠1 C.

You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.

Answer:

 Transitive Property of Equality

Step-by-step explanation:

We will see that there are 284.2 kilograms of helium inside the ballon.

In this problem, we know the volume of helium and the density of helium.

Remember that:

density = mass/volume.

Then we can write:

mass = density*volume.

Replacing the two in the right, we get:

mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg

Then we can conclude that there are 284.2 kilograms of helium in the ballon.

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radius= 4 m

the volume of the given sphere.

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]

[tex]v = 267.9466667 \: {m}^{3} [/tex]

[tex]v = 267.95 \: {m}^{3} [/tex]

therefore, the volume of the given sphere is 267.95 cubic meters.

[tex]\large\boxed{\bold{Formula: V= \frac{4}{3}\pi{r}^{3}}}[/tex]

[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]

In this question the radius is given so we'll simply have to substitute and solve.

Let's solve!

Substitute the values according to the formula.

Instead of π we are asked to use 3.14

[tex]V= \frac{4}{3}\times\ 3.14\times{4}^{3}[/tex]

Calculator answer:

[tex]\bold{V= 267.9466667 \:{m}^{3}}[/tex]

Now, we can round off to the nearest hundredth.

The value in thousandths place is greater than 5 so, we will have to round up by adding 1 to the hundredths place.

Final answer:

[tex]\large\boxed{\bold{V= 267.95 \: {m}^{3}}}[/tex]

Hence, the volume of the given sphere is 267.95 cubic meters.

Expand the integrand:

[tex](2x - 3) (4x^2 + 1) = 8x^3 - 12x^2 + 2x - 3[/tex]

Then integrate using the power rule:

[tex]\displaystyle \int (8x^3-12x^2+2x-3) \, dx = 2x^4 - 4x^3 + x^2 - 3x + C[/tex]

By the fundamental theorem of calculus, the definite integral has a value of

[tex]\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=2} - \left(2x^4 - 4x^3 + x^2 - 3x\right)\bigg|_{x=0}[/tex]

[tex]\displaystyle \int_0^2 (2x-3)(4x^2+1) \, dx = 32 - 32 + 4 - 6 = \boxed{-2}[/tex]

Answer: 9

Explanation: Because pi is included in the answer, you won't be multiplying pi with it.
The only number that equals to 18 is 9.
By using the formula for circumference is: 2πr
2 x 9 = 18
Add pi, 18π.

ahemmm the so-called curved area, will be the "latereal surface area" of the cylinder, and we know that that is 250 cm², whilst the height h = 12.

[tex]\textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ LA=250\\ h=12 \end{cases}\implies \begin{array}{llll} 250=2\pi r(12)\implies 250=24\pi r \\\\\\ \cfrac{250}{24\pi }=r\implies \cfrac{125}{12\pi }=r \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\frac{125}{12\pi }\\ h=12 \end{cases}\implies \begin{array}{llll} V=\pi \left( \cfrac{125}{12\pi } \right)^2 (12) \\\\\\ V=\cfrac{15625}{12\pi }\implies V\approx 414.47 \end{array}[/tex]

Answer:

30%

Step-by-step explanation:

percentage = (discount/total amount)*100

= (8.40/28)*100=30%

Answer:

GCF: 3 , While answer to addition problem is 36.

Step-by-step explanation:

* Help me with mine please thanks*

Answer:

720km

Step-by-step explanation:

12000 steps = 2 feet * 12000 = 24000 feet

= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm

= 720000cm = 720000 / 1000 = 720km

Answer:

5.25 centimeters

Step-by-step explanation:

Simply put, each stitch is 1/8 of a centimeter long.

42 stitches would be 1/8 * 42 centimeters long.

Multiply that and we get 5.25 centimeters.

Answer:

Step-by-step explanation:

Answer:

By multiplying -2 by 5 you get:

Step-by-step explanation:

- 10