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olga55 [171]
3 years ago
6

I need help for both of these !

Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0
4. \frac{w+3}{2}<-8
First, you can multiply both sides of the inequality by 2 to cancel out the fraction to get:
w+3<-16
Then subtract 3 from both sides to get:
w<-19 
Above is your answer

5. h≤\frac{6h+3}{5} 
Like we did in the first one, multiply by 5 on both sides to get: 
5h≤6h+3
Then subtract 6h from both sides to get
-1h≤3
Divide by -1 into both sides, and when you divide or multiply an inequality by a negative number, you flip the sign, so you would get
h≥-3
Above is your final answer

Hope this helped!
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Question 1.
tangare [24]

Answer:

1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 803,000,000New Number: 8.03000000Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.03000000Decimal Count:12345678

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.03 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

8.03 x 108

Step 4

Check your work:

108 = 100,000,000 x 8.03 = 803,000,000

7 0
2 years ago
It’s worth 10 points if you answer!
Maksim231197 [3]

Answer:

m∠x = 10°

Step-by-step explanation:

Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.

"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.

The ratios are:

sinθ = opposite/hypotenuse

cosθ = adjacent/hypotenuse

tanθ = opposite/adjacent

θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.

In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.

sinθ = opposite/hypotenuse

sinx = CB/AB      Substitute the labels in the diagram

sinx = 4/23      Substitute known values (side lengths)

x = sin⁻¹(4/23)      Isolate 'x'. Use calculator to solve.

x = 10.015....°      Exact answer

x ≈ 10°      Round to the nearest degree

Therefore the measure of angle x (m∠x) is 10°.

8 0
3 years ago
What do solve 7,876x8
sladkih [1.3K]
The answer is 63,008
8 0
3 years ago
Read 2 more answers
The probability of rolling a 2 is 1/6 predict how many times a 2 will be rolled out of 30 rolls.
Anestetic [448]

Answer:

5 times

Step-by-step explanation:

Given that the probability of a 2 is \frac{1}{6} then number of times a 2 will be rolled is

30 × \frac{1}{6} = 5

5 0
3 years ago
Please help I can't work out the gradient​
Annette [7]

Answer:

a is 2.5

b is 1

gradient is rise over run

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