All categories

3 years ago

Please do both! Will mark brainliest

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

Answer:

1. x = 19.9 2. x = 8.1

Step-by-step explanation:

1. Cos(x) = Adjacent/Hypotenuse We identify that the angle of 17 degrees is next to the adjacent side of 19 and the hypotenuse is the longest side of the triangle.

Cos(17) = 19/x We substitue in the values then rearrange to give us x.

xCos(17) = 19 We multiply both sides by x.

x = 19/Cos(17) We divide by Cos(17).

x = 19.86814337 We put it into the calculator.

x = 19.9 Rounding to the nearest tenth is the same as rounding to 1 decimal place.

2. Tan(x) = Opposite/Adjacent We identify that the angle of 51 degrees is opposite 10 and next to the adjacent side of x.

Tan(51) = 10/x We substitute in the values then rearrange to give us x.

xTan(51) = 10 We multiply both sides by x.

x = 10/Tan(51) We divide by Tan(51).

x = 8.097840332 We put it into the calculator.

x = 8.1 Rounding to the nearest tenth is the same as rounding to 1 decimal place.

Hope that helps you.

You might be interested in

a container of candy is shaped like a cylinder and has a volume of 125.6 cubic centimeters. If the heights of the container is 1

Elenna [48]

The radius of the container is 2 centimeter

<h3>Solution:</h3>

Given that a container of candy is shaped like a cylinder

Given that volume = 125.6 cubic centimeters

Height of conatiner = 10 centimeter

To find: radius of the container

We can use volume of cylinder formula and obatin the radius value

The volume of cylinder is given as:

$\text {volume of cylinder }=\pi r^{2} h$

Where "r" is the radius of cylinder

"h" is the height of cylinder and $\pi$ is constant has value 3.14

Substituting the values in formula, we get

$\begin{array}{l}{125.6=3.14 \times r^{2} \times 10} \\\\ {r^{2}=\frac{125.6}{31.4}} \\\\ {r^{2}=4}\end{array}$

Taking square root on both sides,

$r = \sqrt{4}\\\\r = 2$

Thus the radius of the container is 2 centimeter

4 0

3 years ago

What are the reasoning for the statement 6x+6+1=8 6x+7=8 6x=1 X=1/6

AlladinOne [14]

Step 1. Combine like terms
Step 2. Subtract 7 from both sides
Step 3. Divide 6 from both sides
Final answer: x=1/6

3 0

3 years ago

Read 2 more answers

Alan buys 5.2 ounces of sour patch kids candy. After sharing with his friends he returns to buy an additional 6.75 ounces. How m

Ainat [17]

11.95 ounces

5.2 + 6.75 = 11.95

7 0

2 years ago

James had lunch at a local diner.He had two burgers and a soda.The soda cost $2.00.Sales tax was added to his meal at a rate of

diamong [38]

2 burgers and a soda the soda cost 2 dollars since sale tax was added to his meal at the rate of 10% so 20 cents added 19.80 minus 2.20 (I cant think cause im being rushed lol) which equals 17.60 divided by 2 8.80 dollars each

3 0

3 years ago

A certain type of digital camera comes in either a 3-megapixel version or a 4 megapixel version. A camera store has received a s

Morgarella [4.7K]

Answer:

a) Hyper-geometric distribution

b1) P(X=2) = 0.424

b2) P(X>2) = 0.152

C1) Mean of X = 1.67

C2) Standard Deviation of X = 0.65

Step-by-step explanation:

b1) P(X = 2) = (5C2 * 7C2)/(12C4) = (10 * 21)/(495) = 210/495

P(X=2) = 0.424

b2) P(X>2) = 1 - P(X≤2) = 1 - [P(X=0) + P(X=1) + P(X=2)]

P(X=0) = (7C4)/(12C4) = 35/495 = 0.071

P(X=1) = (5C1 * 7C3)/(12C4) = (5 * 35)/(495) = 175/495 = 0.354

P(X=2) = 0.424

P(X>2) = 1 - P(X≤2) = 1 - [0.424 + 0.071 + 0.354]

P(X>2) = 0.152

C1) Mean of X = nk/N

k = number of 3-megapixel cameras = 5

n = number of selected cameras = 4

N = Total number of cameras = 12

Mean of X = 5*4/12

Mean of X = 1.67

C2) Standard Deviation of X

Standard deviation of X=(nk/N*(1-k/N)*(N-n)/(N-1))1/2

Standard Deviation of X=(4*(5/20)*(1-5/12)*((12-4)/(12-1))^1/2 =0.65

Standard Deviation of X = 0.65

4 0

3 years ago