The value of cos X is
40/41
42/41
9/41
35/41

Answers

Answer 1

Answer:

Answer:

I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.

Step-by-step explanation:

Once we are considering $x \in \mathbb{R}$ , the range of $\text{cos}(x)$ is $[1, -1]$ . Therefore, $(42)/(41)$ is not true.

In this exercise, we may have

$\text{cos}(x)=(x)/(r) =(x)/(√(x^2 +y^2) )$

Considering the trigonometric functions beyond the unit circle.

Or considering the definition in the right triangle:

$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}}$

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Of the dogs in a dog show, 1/12 were classified as belonging to the abound group. Of the dogs in the hound group, 3/10 of them were English foxhounds. What fraction of the dogs in the group were considered English foxhounds?

Answers

so 1/12 is houds
3/10 of the hounds is foxhounds

findn out of all is foxhounds
3/10 of hounds is foxhounds
3/10 of 1/12 is foxhounds

'of' means multiply
3/10 times 1/12=foxhounds
mulitply top and bottom together
3 times 1=3
10 times 12=120
3/120=foxhounds=1/40

fraction is 1/40 is foxhounds

37/60 would be your answer.

I have a summer geometry packet and I am confused with this question: In the same circle, or congruent circles, congruent central angles have congruent arcs.
[1] TRUE [2] FALSE

Answers

The statement is true.

Let me just say it a different way, and I think you'll see it:

"In the same pie, or same-size pies, if you cut pieces with the same angle at
the points, then the length of their curvy crusts at the other end is the same,"

A shoe box is 10 inches long and 6 inches wide. It is 3 inches tall. Sage is wrapping the shoe box and determined that she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap. How many square inches of gift wrap does she need?

Answers

Answer: $360\ in^2$

Step-by-step explanation:

For this exercise you need to use the folllowing formula for calculate the Surface area of a Rectangular prism:

$SA = 2wl + 2lh + 2hw$

Where "l" is the length, "w" is the width and "h" is the height of the prism.

In this case you can identify that:

$l=10\ in\n\nw=6\ in\n\nh=3\ in$

Therefore, substituting values, you get that the surface area of the shoe box is:

$SA = 2(6\ in)(10\ in) + 2(10\ in)(3\ in) + 2(10\ in)(6\ in)\n\nSA=300\ in^2$

The 20% of this surface area is:

$(300\ in^2)(0.20)=60\ in^2$

Since she needs 20% more than the total surface area in gift wrap to cover the box and account for overlap, you get that total amount of square inches of gift wrap that she needs is:

$Total=300\ in^2+60\ in^2=360\ in^2$

One morning in Austin, Texas, the temperature was 80°F and rose by 2°F per hour until midafternoon. At the same time in Little Rock, Arkansas, the temperature was 72°F and rose by 4°F per hour. Which equation can you use to find h, the number of hours it took for the cities to reach the same temperature?
How long did it take for the cities to reach the same temperature? Simplify any fractions.
___ hours

Answers

Answer:

80+2h=72+4h

4hours

Step-by-step explanation:

80+2h=72+4h

80-72=4h-2h

8=2h

h=8/2

h=4

Answer:

It took 4 hours for the two cities to reach the same temp.

Step-by-step explanation:

Part 1

First, you will write an expression for each city.

Austin starts at 80°F and rises 2°F per hour. 80 is our starting point. 2 is how much is added each hour. The per hour means we need a variable.

$80 +2h$

Little Rock starts at 72°F and rises 4° per hour. 72 is our starting point. 4 is how much is added per hour. The per hour means we need a variable.

$72+4h$

Second, you want to know when the cities are equal, so you set these expressions equal to each other.

$80+2h=72+4h$

Part 2

$80+2h=72+4h$

This is an equation with variables on both sides. You will need to follow a few steps to solve these problems.

$80+2h=72+4h$

Step 1: look for grouping symbols. This problem does not have any visible or invisible grouping symbols.

$80+2h=72+4h$

Step 2: Look at the left side. Are there any like terms? This problem does not have any like terms on the left side. Look at the right side. Are there any like terms? This problem does not have any like terms on the right side.

Step 3: Are there variables on the left and right side of the equal sign? (Look to the left of the equal sign; you will see 2h. The h is a variable on the left side. Look to the right of the equal sign; you will see 4h. The h is a variable on the right side.)

The answer is yes. You will subtract the variable with the smaller coefficient from each side of the equal sign. ( $2 < 4$ ) $80+2h-2h=72+4h-2h$
$80=72+2h$

Step 4: Are there constants on the left and right sides of the equal sign?

The answer is yes (80 is on the left, and 72 is on the right.) You will subtract the constant on the same side on the equal sign as the variable. The 72 is on the right side with the 2h. You will subtract 72 from the left and right sides of the equal sign. $80-72=72-72+2h$
$8=2h$

Step 5: Does the variable have a coefficient other than 1? (Is there a number written with the variable? Is the variable not 1?)

Yes, the coefficient is 2. You will divide the right and left sides by 2. $(8)/(2) =(2h)/(2)$ (8 divided by 2 equals 2, 2h divided by 2 equals 1h)
$4=h$

You have now solved the equation for the variable. Remember h was defined in the problem as "the number of hours it took for the cities to reach the same temperature." This means that it took 4 hours for the cities to reach the same temperature. You can check this with a simple check

You substitute the 4 in the original expressions. If you did the work correctly, you will get the same answer for both equations.

$80+2(4)\n80+8\n88$

$72+4(4)\n72+16\n88$

Since both expressions produced the same answer when 4 was substituted the answer is correct.

John gets paid $6 for each of the first 40 toy cars he makes in a week. For any additional cars beyond 40 his pay increases by 50%. How much is he paid if he makes 48 cars?