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3 years ago

Plz help meee!!!!!!!!!!!!!!11

Mathematics

1 answer:

Rudiy273 years ago

8 0

Answer: 15) 1 16) 30

Step-by-step explanation:

15 ) Since 15 you are shown that the larger has 30 & 5 so, if it has shrunk until now that 30 has turned into 6 that means it has shrunk by 5 times the original bigger triangle has (30 divided by 6 = 5). 5 can go into 5 1 time so you get 1

16) We have an isosceles triangle so all the sides will be equal. So If one side is 30 then the rest will be 30. This is also shown with the smaller triangle, with both sides equaling 6.

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For f(x)=0.01(2)power of x, find the average rate of change from x=3 to x=8

sineoko [7]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
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\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= 0.01(2)^x \qquad 
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4 0

3 years ago

If cos x = sin(20 + x) ° and 0°

Varvara68 [4.7K]

Answer:

x = 35°

Step-by-step explanation:

The question is as following

cos x = sin(20 + x)° and 0° < x < 90° , find X?

==============================================

cos x = sin(20 + x)°

sin and cos are co-functions,

which means that: cos x = cos [90 - (20 + x)]

∴ x = 70 - x

∴ 2x = 70

∴ x = 35°

======================

Note: cos θ = sin ( 90 - θ )

4 0

3 years ago

PLS HELP

LiRa [457]

There is 3600 seconds per hour.
Multiply the speed per second by 3600 to get the speed in miles per hour then convert to kilometer/hour.

4.9 * 3600 = 17,640 miles per hour

17,640 x 1.6 = 28,224 kilometers per hour

8 0

3 years ago

Part B A sales person earned 1375

Furkat [3]

Question:

A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.

The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.

Part A:

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?

Part B:

The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

Answer:

A) The amount of commission = $575

B) The total sales amount = $20000

Step-by-step explanation:

Given:

Total amount earned = $8,000 in sales

To Find :

The amount of commission, in dollars

Solution:

The commission she earns = Commission 1+ Commission 2----------(1)

Commission 1 = 5% of 5000

Commission 2 = 7.5 % of (8000- 5000}

Finding commission 1:

= 5% of 5000

= $\frac{5}{100} \times 5000$

= $0.05 \times 5000$

= $250 ------------------------------(2)

Finding commission 2:

= 7.5 % of (3000)

= $\frac{7.5}{100}\times 3000$

= $0.075 \times 3000$

= $225----------------------------------(3)

Substituting (2) and (3) in (1)

The commission she earns = $250 + $225 = $575

Given:

Total commission earned = $1375

To Find :

The total sales amount = ?

Solution ;

Let the sales amount be x

Then

1375 = 5% of 5000 + 7.5 % of (x -5000)

$1375 = 0.05 \times 5000 + 0.075 \times (x -5000)$

1375 = 250 + 0.075x - 375

1375 = -125 + 0.075 x

1375 +125 = 0.075 x

1500 = 0.075x

$x = \frac{1500}{0.075}$

x = 20000

The total sales amount is $20000

5 0

3 years ago

A spherical helium balloon has a diameter of 30 cm. How much helium is needed to fill the balloon, in cubic centimeters? Round y

GaryK [48]

From V= 4/3*pi*r^3
dV/dt = 4pi(r^2)dr/dt 
so when dV/dt=30 and r = 19 
30 = 4pi(361)dr/dt 
dr/dt = 30/[4pi(361)] 

now in 
A = 4pir^2 
dA/dt = 8pi(r)dr/dt 
= 8pi(19)*30/[4pi(361)] 
= you finish it.
HOPE THIS HELPS.

3 0

3 years ago