MATHEMATICS HIGH SCHOOL

Find the value of x to the nearest tenth.
х
34°
48

Answers

Answer 1

Answer:

Answer:

x ≈ 39.8

Step-by-step explanation:

cos∅ = adjacent / hypotenuse

Since we are given a right triangle, we can use trigonometry to help us solve for missing values:

cos34° = x/48

x = 48cos34°

x = 39.7938

x ≈ 39.8

Answer 2

Answer: X= 39.79
(39.8 rounded)
Cos= adj/hyp

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Find each unit rate. round to the nearest hundredth if necessary 128 lb of dog food for 16 dogs

Answers

8 pounds of food per dog

Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after mc013-1.jpg years?$2,500
$9,159
$22,827
$23,802

Answers

Answer:

The answer is : $9,159

Step-by-step explanation:

Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year.

Given equation is:

$V=P(1-r)^(t)$

P = $25000

r = 20% or 0.20

t = 4.5 years

So, equation becomes:

$25000(1-0.20)^(4.5)$

= $25000(0.80)^(4.5)$

= $9159

Therefore, the approximate value of the car will be $9159.

The equation should be v = p(1-r)^t

then v = 25000(1-0.20)^4.5

v = 9,159

A container holds 21 spoons and 27 forks. What is the ratio of spoons to the total number of utensils in the container? A.
7 to 9

B.
7 to 16

C.
9 to 7

D.
16 to 9

Answers

the answer is :
B.
7 to 16

The medicine capsule consists of a cylinder with a hemisphere at each end. The total length of the capsule is 18 millimeters. The diameter is 7 millimeters. Which choice is the best approximation of the total surface area of the capsule? Use 3.14 to approximate pi. possible answers a)396 square millimeters b)550 square millimeters c)1,407 square millimeters d)1,099 square millimeters

Answers

Given:
diameter: 7 mm
total length = 18 mm

There are two shapes in this problem.
1) a sphere
2) a rectangle shaped cylinder

We need to get the area of both shapes to have the best approximation of the total surface area of the capsule.

Area of a sphere = 4 π r² = 4 * 3.14 * (3.5mm)² = 12.56 * 12.25mm²
Area of a sphere = 153.86 mm²

Area of a rectangle = length * width
*in this case, we need to compute for the circumference of the circle to get the measure of the width

Area of a rectangle = (18-7mm) * 7 * 3.14
Area of a rectangle = 11mm * 7mm * 3.14
Area of a rectagnle = 241.78 mm²

Total surface area = 153.86 mm² + 241.78 mm² = 395.64 mm²

Choice A.) 396 square millimeters.

Can anyone help me with this:

5x -3 < -3

Answers

$5x-3 < -3\ \ \ \ /+3\n5x-3+3 < -3+3\n5x < 0\ \ \ \ /:5\nx < 0\n\nx\in\mathbb{R^+}\Rightarrow x\in(0;\ \infty)$

$5x -3 < -3 \n 5x<0\n x<0$

Find the volume of the cylinder in terms of Pi.
h = 6 and r = 3

Answers

The volume of the cylinder that has 6 as its height and 3 as its radius would be 54π or 169.71 square unit. This is solve using the formula of volume of cylinder which is equal to π times squared of radius times the height. Substituting the value, it would equal to π(3²)(6) or 54π.

Find the value of x to the nearest tenth.х34°48

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Find the value of x to the nearest tenth.
х
34°
48