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2 years ago

Workings please......

Mathematics

1 answer:

attashe74 [19]2 years ago

3 0

Answer:

21.142

Step-by-step explanation:

not sure it's correct

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Solving a right triangle (round to the nearest tenth)

Inga [223]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 46)° = 180° - 136° = 44°

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tan46° = $\frac{opposite}{adjacent}$ = $\frac{b}{23}$

Multiply both sides by 23

23 × tan46° = b, thus

b ≈ 23.8 ( to the nearest tenth )

-----------------------------------------------------------------

cos46° = $\frac{adjacent}{hypotenuse}$ = $\frac{23}{c}$

Multiply both sides by c

c × cos46° = 23 ( divide both sides by cos46° )

c = $\frac{23}{cos46}$ ≈ 33.1 ( to the nearest tenth )

5 0

2 years ago

Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of sales, 16% on the next $7500 of sales, a

Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 = $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of sales, 16% on the next $ 7500 of sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

$f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.$

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

7 0

3 years ago

6x+3y= -9<br> find the slope and y-intercept

Sophie [7]

Answer:

Slope: -2

y-intercept: -3 or (0, -3)

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

6x+3y= -9

3y = -6x - 9

y = -2x - 3

5 0

3 years ago

Read 2 more answers

What is the answer to this. Please help ASAP.

Zigmanuir [339]

V of rec. prism = whl = 3x5x6 = 90
V of cone = 3.14 x (3)^2 (8) /3= 75.36

90 - 75.36 = 14.64

answer
14.64

6 0

2 years ago

4/6 x what equals 8/6

Sidana [21]

Answer: 4/6

1. Subtract 8/6 by 4/6.

8/6 - 4/6 = 4/6

4/6 + 4/6 = 8 is the same as:

4 + 4 = 8

<em>Notice: You don't change the denominator if your adding or subtracting.</em>

<em />

<h2>Final answer: 4/6. </h2>

5 0

2 years ago