Use the Law of Sines and/or the Law of Cosines to solve each triangle. Round to the Nearest tenth when necessary

(Unit 8: Right Triangles & Trigonometry, Homework 9: Law of Sines & Cosines: + Applications)​

Answer:

g = -3

Step-by-step explanation:

5g - 10 = -25

5g = -25 + 10

5g = -15

g = -15/5

g = -3

hope it helps!

Answer:

g = - 3

Step-by-step explanation:

5g - 10 = - 25

5g = - 25 + 10

5g = - 15

g = - 15 : 5

g = - 3

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

Answer:

4 because mode is always the number that occurs the most. If there were two sixes and two fours, then there would be two modes.

Answer:

4

Step-by-step explanation:

The mode of the data set (a set of distinct values, at least) is the value which appears the most often. In this set, that number is 4.

Answer:

(B)  [tex]y=-2x+ \dfrac{7}{6}[/tex]

Step-by-step explanation:

Given the point-slope form of the equation of a line below:

[tex]y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)[/tex]

We are required to write it in the slope-intercept form, y=mx+c.

[tex]y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)\\\\y-\dfrac{2}{3}=-2x+ \dfrac{2}{4}\\\\y=-2x+ \dfrac{2}{4}+\dfrac{2}{3}\\\\y=-2x+ \dfrac{7}{6}[/tex]

The slope intercept form is:

[tex]y=-2x+ \dfrac{7}{6}[/tex]

The correct option is B.

Answer:

b

Step-by-step explanation:

Answer: The answer is the second one Letter B.

when the number of hours increases, the number of miles increases

Hope this help You Yo.

Answer: 8m+25 ≤ 65

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The product of the number of movie tickets he will buy per month (m) and the price of each ticket (8) plus the already spent money (25) must be less or equal to his savings (65).

Mathematically speaking:

8m+25 ≤ 65

Feel free to ask for more if needed or if you did not understand something.  

Answer:

$1,096.00 per month        

Step-by-step explanation:

Divide 1776 by 12 for one payment per month equals 148.

Add the monthly house payment $948 to the monthly tax payment $148. The total monthly payment due is $1,096.00.

Answer:

448 subscribers use more than 15 hours per week

Step-by-step explanation:

In this question, we shall be using the proportion of what was gotten from a survey to estimate the number of subscribers that use more than 15 hours per week

From the question, we can see that out of the 50 people surveyed, 28 use more than 15-hours per week based on data

The proportion that thus use 15-hours per week based on data is 28/50

Now to know the number of subscribers out of 800 that use more than 15-hours per week based on data we have ; 28/50 * 800 = 28 * 16 = 448 subscribers

Answer:

39π cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

Here r = 19.5, thus

C = 2π × 19.5 = 39π cm

Answer:

[tex]\frac{dB}{dt}=4[/tex]

Step-by-step explanation:

Derivative indicates rate of change of dependent variable with respect to independent variables. It indicates the slope of a line that is tangent to the curve at the specific point.

Given:

Number of bees is modeled by the function [tex]B(x)=50\sqrt{k}+2x[/tex]

The daily high temperature is increasing at a rate of 2 °F per day when  the number of bees spotted is 100.

To find:

rate of change of number of bees when 100 bees are spotted

Solution:

[tex]B(x)=50\sqrt{k}+2x[/tex]

Differentiate with respect to t,

[tex]\frac{dB}{dt}=0+2(\frac{dx}{dt}) \\\frac{dB}{dt}=2(\frac{dx}{dt}) \\[/tex]

Put [tex](\frac{dx}{dt}) =2[/tex]

[tex]\frac{dB}{dt}=2(2)=4[/tex]

At x = 100, [tex]\frac{dB}{dt}=4[/tex]

Answer:

You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.

Step-by-step explanation:

Answer:

theta = 24.4 degrees

Step-by-step explanation:

This is a right triangle.

sin theta = opp/ hyp

sin theta = 33/80

Take the inverse of each side

sin^-1 sin(theta) = sin^-1 (33/80)

theta =24.36197794

To the nearest tenth

theta = 24.4 degrees

Answer:

(x+9) (x-7)

Step-by-step explanation:

x^2 + 2x − 63

What 2 numbers multiply to -63 and add to 2

9* -7 = -63

9+-7 = 2

(x+9) (x-7)

Answer: 0.6%

Step-by-step explanation:

We have a selection of 5 numbers, in those selection we have 3 combinations of 3 consecuitve numbers (because the numbers must be in correct order).

The first 3

The 3 in the middle

the last 3.

So a contestant has 3 combinations were he wins.

Now, the number of possible combinations of the 9 numbers given is:

For the first number we have 9 options.

For the second number we have 8 options (because we already selected one)

For the last number we have 7 options (because we already selected 2 numbers)

Then the number of possible combinations is

10*9*8 = 504

The probabilty of winning will be equal to the number of combinations that the contestant has (3) divided by the total number of combinations, this is:

p = 3/504 = 0.006 or 0.006*100% = 0.6%

Answer:

Step-by-step explanation:

Volume of the box = 400 cubic inches

length * width * height = 400

length * 8 * 5 = 400

length * 40 = 400

length = 400/40

length = 10 inches

Answer:

Step-by-step explanatio

it is C

Answer:

28

Step-by-step explanation:

10 - 12^2 ÷(-2)^3

PEMDAS

Exponents first

10-144÷(-8)

Then multiplication and division

10- (-18)

Then add and subtract

10+18

28

Answer:

why don't you answer mine

Answer:

it the last one

Step-by-step explanation:

only the last option has all the possible combinations

Answer:

Sample space:

{Yellow Purple,

Yellow Green,

Orange Purple

Orange Green,

Red Purple,

Red Green}

Answer:

252 feet cubed

hope this helps!

Step-by-step explanation:

Final answer:

The slope of line e, which is perpendicular to line d with a slope of -7/4, is 4/7.

Explanation:

The slope of line d is -7/4. To find the slope of a line perpendicular to d, we use the property that the product of the slopes of two perpendicular lines is -1. So, the slope of line e is the negative reciprocal of -7/4.

To find the negative reciprocal, we find the reciprocal by flipping the fraction and then negate it by changing the sign. Therefore, the slope of line e is 4/7.

Answer:

170

Step-by-step explanation:

The distance between 120 and -50 on a number line is equal to 170.

In Mathematics and Euclidean Geometry, a number line is a type of graph that is composed of a graduated straight line, which typically comprises both negative and positive numerical values that are located at equal intervals along its length.

This ultimately implies that, every number line would primarily increase in numerical value towards the right from zero (0) and decrease in numerical value towards the left from zero (0).

Based on the information provided above, we would determine the distance between the two numerical values 120 and -50 by using the number line as follows:

x = 120 - (-50)

x = 120 + 50

x = 170.

Read more on number line here: brainly.com/question/22515080

#SPJ3

Answer:280

Step-by-step explanation:

25% of x = 70

x= 280

Answer:

James has 20 more coins than Reggie

Step-by-step explanation:

Given:

Total number of coins with James and Reggie = 60

If James would agree to give 1/4 of his coins to Reggie, they would then have exactly the same number of coins

To find: number of coins with James and Reggie

Solution:

Let x denote number of coins with James and y denote number of coins with Reggie.

According to question,

[tex]x+y=60\\x-\frac{x}{4} =y+\frac{x}{4} \\x-y=\frac{2x}{4} \\x=2y[/tex]

Put [tex]x=2y[/tex] in [tex]x+y=60[/tex]

[tex]2y+y=60\\3y=60\\y=\frac{60}{3}=20\\ x=2y=2(20)=40[/tex]

So,

number of coins with James = 40

number of coins with Reggie = 20

James has 20 more coins than Reggie

Answer:

4

Step-by-step explanation:

easier answer

Answer:

k=7

Step-by-step explanation

This is the same as 12 x k = 84. To solve, put it into a division problem which is 84 divided by 12. 84 divided by 12 is 7.

We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.

We know that area of circle with a radius of r units is [tex]\pi r^2[/tex].

We know that circumference of a circle is [tex]2\pi r[/tex].

5 times the value of circumference would be [tex]5(2\pi r)=10\pi r[/tex].

Now we will equate 5 times circumference with area as:

[tex]\pi r^2 = 10\pi r[/tex]

Let us solve for r.

[tex]\pi r\cdot r = 10\pi r[/tex]

[tex]\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}[/tex]

[tex]r=10[/tex]

Therefore, the radius of the circle would be 10 units.

The expressions that are equivalent to -56z + 28 are B. (-1.4z+0.7) * 40 and D.(8z - 4) * (-7), as they both simplify the given expression.

You are looking to find expressions that are equivalent to -56z + 28. Let's simplify each of the given options:

A. 1/2 *(-28z + 14) simplifies to -14z + 7, so this is not equivalent to -56z + 28.

B. (-1.4z+0.7) * 40 simplifies to -56z + 28, which is equivalent.

C. (14 -7z) *(-4) simplifies to -56z + 56, which is not equivalent to -56z + 28.

D.(8z - 4) * (-7) simplifies to -56z + 28, which is equivalent.

E. -2(-28z-14) simplifies to 56z + 28, which is not equivalent since the terms have opposite signs.

The equivalent expressions to -56z + 28 are options B and D.

The equation is rearranged so that \(y\) is expressed in terms of[tex]\(x\): y= 5x - 26[/tex]

To rearrange the given equation so that x is the independent variable, you need to solve for y. Here's how you can do it step by step:

1. Start with the given equation:

[tex]\[y + 6 = 5(x - 4)\][/tex]

2. Expand the right side of the equation:

[tex]\[y + 6 = 5x - 20\][/tex]

3. Move the constant term (6) to the right side by subtracting 6 from both sides:

[tex]\[y = 5x - 20 - 6\]\\y = 5x - 26\][/tex]

Now, the equation is rearranged so that \(y\) is expressed in terms of[tex]\(x\): y= 5x - 26[/tex]

For such more question on equation

https://brainly.com/question/29174899

#SPJ3

Answer:

27,600

Step-by-step explanation:

Answer:

4.24

Step-by-step explanation:

It is hard to explain sorry if you need it

The mean absolute deviation of the given values is 4.24

Given the values :

5, 11, 2, 7, 16

Mean = 8.2

The mean absolute deviation = Σ|x - mean| ÷ n

n = number of observations

x = observations

Mean absolute deviation :

Therefore, the mean absolute deviation of the values given is 4.24

Learn more : https://brainly.com/question/10528201?referrer=searchResults