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Vikentia [17]
2 years ago
15

Veronica says that the expression

Mathematics
1 answer:
ELEN [110]2 years ago
6 0
The person on top is correct
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Can someone help meeeeee
11Alexandr11 [23.1K]

Answer:

Area of shaded rectangle = 42 cm²

55%

Step-by-step explanation:

The length of the shaded area is equal to the length of the white rectangle.

Therefore, length of shaded rectangle = 7 cm

The width of the shaded rectangle is equal to the length of the white rectangle <u>minus</u> two widths of the white rectangle.

Therefore, width = 7 - (2 x 0.5) = 6 cm

Area of shaded rectangle = width x length

                                          = 6 x 7

                                          = 42 cm²

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

Perimeter of a square = 4 × side length

If the perimeter of the square is 40 cm,
then the side length = 40 ÷ 4 = 10 cm

Area of a square = side length x side length

⇒ area of this square = 10 x 10 = 100 cm²

To determine the shaded area, calculate the areas of the 2 white triangles and subtract these from the area of the square.

Area of a triangle = 1/2 x base x height

⇒ area of left triangle = 1/2 x (10 - 7) x 10 = 15 cm²

⇒ area of right triangle = 1/2 x 10 x (10 - 4) = 30 cm²

Therefore, shaded area = 100 - 15 - 30 = 55 cm²

To calculate the percentage, divide the shaded area by the area of the square and multiply by 100:

(55 ÷ 100) × 100% = 55%

7 0
2 years ago
a data set has a mean of 68 and standard deviation of 6. An element in this set is 51. What is z-score for 51? Round your answer
gogolik [260]

z = -2.83

<u>Explanation:</u>

Given:

Mean, μ = 68

Standard deviation, σ = 6

Data point, x = 51

Z score, z = ?

We know:

z = \frac{data point - mean}{standard deviation} \\\\z = \frac{x - u}{p}

Substituting the value we get:

z = \frac{51-68}{6} \\\\z = -2.83

A negative z score says that the data point is below average.

4 0
3 years ago
Please help with question 6, 7, 8, and 9 about rational and irrational numbers
aliina [53]
6. When we multiply two surdic integers, we can leave it into one big surd.
For instance, if we have:

\sqrt{a} \cdot \sqrt{b}, we can simplify it down to one uniform square root sign, \sqrt{ab}.

So, we can say: 3\sqrt{2} \cdot 8\sqrt{18} = 24\sqrt{36}, which is a rational root, because the square root of 36 can be converted into an integer, namely 6 and -6.

Hence, it is a rational root.

7. The summation, on the other hand, cannot be simplified any further, so it will stay as irrational. This is because √2 is already an irrational root, and adding it onto a number that is rational will stay as irrational.

8. Once again, the summation cannot be simplified. We can only simplify by factoring like terms. Hence, this must be irrational.

9. Even if it is in fractional notation, √5 can never be a rational number because no two integers when multiplied by itself will give 5. So, even if it is written in fractional form, they cannot be rational if there is an already irrational term in it.
4 0
3 years ago
Please hurry I’m in a timed test!!!! If sintheta&gt;0, and tan theta&lt;0 then:
Trava [24]

Answer: The angle is in the second quandrant

Step-by-step explanation:

If sin of theta is greater than 0, the angle theta has to be in either the first or second quandrant. If tangent of theta is less than 0, it cannot be in the first or third quandrant. Therefore, we know the angle is in the second quandrant.

5 0
3 years ago
Evaluate 4-0.25g+0.5h when g=10 and h=5
lord [1]

Answer:

4

Step-by-step explanation:

4 - 0.25g + 0.5h \\  = 4 - 0.25 \times 10 + 0.5 \times 5 \\  = 4 - 2.5 + 2.5 \\  = 4

6 0
3 years ago
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