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12345 [234]
2 years ago
14

The mass of a typical raindrop is 8.7 x 10^-5 grams. What is 8.7 x 10^-5 in standard form?

Mathematics
2 answers:
eimsori [14]2 years ago
6 0
Hello There!

8.7 *  10^{-5} is in standard index form.
Standard form is when it is the original number
The '-5' as a power means you need to shift the zero back 5 spaces.
Or, divide by 100,000.
If you do this, you would get 0.000087.

Thus, making it option B.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
Lyrx [107]2 years ago
3 0
Here is your answer:

Its scientific notation:

Its negative so move to the right:

8.7×10^-5

0.0000087 or D

Here's my work:

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X^2 – 5x + 6 &lt; 0<br> what is the answer
Sophie [7]

Answer:

step 1: x2−5x+6<0

step2: (×-2) (+-3) =0

answer would be: 2<x<3

7 0
3 years ago
Find the area of the trapezoid. Pls explain and I will mark brainliest.
timama [110]

Answer:

  • B. 191.4 m²

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

  • The ratio of sides of a 30°×60°×90° triangle is  1 : √3 : 2
  • The legs of a 45x45 triangle are equal

<u>The above mentioned properties give us:</u>

  • h = 16/2 = 8 m
  • b = 8√3 ≈ 13.85 m
  • a = h = 8 m

<u>Now find the area:</u>

  • A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²

Correct choice is B

8 0
2 years ago
Write each expression in terms of sines and/or cosines and then simplify.
Sedaia [141]
Tan(x)= sin(x)/cos(x), therefore, substitute sin(x)/cos(x) in the expression:
=(cos(x)(sin(x)/cos(x))-1)/cos^2(x)
simplify the 2 cos(x):
=(sin(x)-1)/cos^2(x)
Sin^2(x)+ cos^2(x)=1, sin^2(x)-1=- cos^2(x), substitute in the expression:
= -cos^2(x)/cos^2(x)= -1
8 0
3 years ago
Mr. Weiss is ordering parts for his wheelchair on the Internet. The website is offering 15% off orders over $250.
aleksandrvk [35]

Answer:

$230.65

Step-by-step explanation:

$179 marked down by 35 % = $116.35

computer mount= $99

cell holder= $56

total= $271.35

marked down by 15% = $230.65 (230.6475)

6 0
3 years ago
PLEASE HELP ME WITH THIS
Vedmedyk [2.9K]
Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin A = \dfrac{11.8}{12}

\sin A = 0.98333

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

A = \sin^{-1} 0.98333

A = 79.5^\circ

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.


           |\
           |  \
           |    \
           |      \
opp = |         \ hyp = 12
= 11.8  |           \
           |             \
           |_______\  A
3 0
3 years ago
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