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scoray [572]
3 years ago
5

Does anyone know how to solve this ?

Mathematics
2 answers:
Readme [11.4K]3 years ago
5 0
SinB=AC/AB=14/50=7/25
tanB=AC/BC=14/48=7/24
Bogdan [553]3 years ago
4 0

Answer: The exact values of indicated trigonometric functions are:

\sin B=\frac{7}{25}\\\\and,\\\\\tan B=\frac{7}{24}

Step-by-step explanation:

Since we have given that

ACB is a right angled triangle,

AC = 14 units

CB = 48 units

BA = 50 units

For sin B ,we will use "SOH" :

\sin B=\frac{AC}{AB}\\\\\sin B=\frac{14}{50}\\\\\sin B=\frac{7}{25}

similarly,

For tan B, we will use "TOH" :

\tan B=\frac{Perpendicular}{Hypotenuse}=\frac{AC}{CB}\\\\\tan B=\frac{14}{48}\\\\\tan B=\frac{7}{24}

Hence, The exact values of indicated trigonometric functions are:

\sin B=\frac{7}{25}\\\\and,\\\\\tan B=\frac{7}{24}

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45 points + brainliest for correct & explained answer :)
devlian [24]
|AD| = 30 - 6 = 24

The triangle ABC and the triangle BDA are similar, therefore:

\dfrac{30}{x}=\dfrac{x}{24}\ \ \ \ |cross\ multiply\\\\x^2=30\cdot24\to x=\sqrt{30\cdot24}\\\\x=\sqrt{5\cdot6\cdot6\cdot4}\\\\x=\sqrt{6^2\cdot4\cdot5}\\\\x=\sqrt{6^2}\cdot\sqrt4\cdot\sqrt5\\\\x=6\cdot2\cdot5\\\\\boxed{x=12\sqrt5}

7 0
3 years ago
Which question cannot be answered by the solution to the equation 3x=27 ?
nikitadnepr [17]
D

this is because there are 27 total students and 3 groups. let x represent the number of students per group. the equation would be 3(x)=27

if u need to solve for x, it would be x =9
7 0
2 years ago
Read 2 more answers
What is the rate of change of function g?
Natasha2012 [34]

Answer:

The rate of change of function g is: 3/2

Step-by-step explanation:

Given the table of function g

x               y

2              4

4              7

6             10

8             13

We know that rate of change is also termed as the slope of the function.

Thus,

let us take any two points, let say

(2, 4) and (4, 7)

Determining the slope between (2, 4) and (4, 7)

(x₁, y₁) = (2, 4)

(x₂, y₂) = (4, 7)

Using the formula

Rate of change or Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [7 - 4] / [4 - 2]

               = 3 / 2

Thus, the rate of change of function g is: 3/2

5 0
2 years ago
Does the following infinite series converge or diverge? 1/3+2/9+4/27+8/81
Norma-Jean [14]

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

8 0
2 years ago
Read 2 more answers
Toby can but T-shirts in packs of 5 for 13.00 or in packs of 2 for 7.22. How much money does he save by buying 30 T-shirts at th
Helen [10]

Toby saves 30.30 money by buying 30 T-shirts at better price.

Step-by-step explanation:

Cost of pack of 5 T-shirts = 13.00 money.

Cost of pack of 2 T-shirts = 7.22 money.

Toby wants to buy total T-shirts = 30 T-shirts.

<u>Case 1 </u>:

For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.

The cost for six packs of 5 T-shirts =  6*13.00 = 78.00 money.

<u>Case 2 </u>:

For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.

The cost for 15 packs of 2 T-shirts =  15*7.22 = 108.30 money.

The money saved = 108.30 -78.00 = 30.30 money.

Therefore, The better price to buy 30 T-shirts is 78.00 money.

3 0
3 years ago
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