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lyudmila [28]
2 years ago
5

The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? a 1

4 b 24 c 28 d 48

Mathematics
1 answer:
gogolik [260]2 years ago
5 0

The correct answer is B. 24

Explanation:

If you consider the shaded part of the rectangle is a triangle the best way to calculate the area of this is by calculating the total area or space occupied by this triangle. This can be done if you multiply the base by the height and divide the result in 2 or b x h / 2.

6 squares (base) x 8 squares (height) = 48 / 2 = 24 squares

Also, the shaded area is approximately the half area of all the rectangle, in this case, you can calculate the area of the rectangle by multiplying side x side or length by width. This means 6 squares x 8 squares = 48 squares (total area), which divided by 2 (shaded area) is also equal to 24.

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A circle has a radius of 5ft and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equ
Serggg [28]

Answer:

\frac{q}{360} × π10 = 7

Explanation:

The formula to find arc length is \frac{x}{360} × \pi r^{2}

Simply plug in radius and arc length to get your equation.

5 0
2 years ago
Read 2 more answers
What is the radical form of the expression?<br><br> (5x3y4)37<br> ↡
hram777 [196]

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Step-by-step explanation:

Given expression is:

(\sqrt{5x^3y^4})^{\frac{3}{7}

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number

so,

in case of 3/7, it will be broken down

(\sqrt{5x^3y^4})^{3*\frac{1}{7}}

The 1/7 will be converted into base of radical while 3 will be he exponent

\sqrt[7]{(5x^3y^4)^3}

Multiplying exponents

=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}

Hence,

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Keywords: Radicals, Exponents

Learn more about exponents at:

  • brainly.com/question/4939434
  • brainly.com/question/4980053

#LearnwithBrainly

4 0
2 years ago
Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,
ololo11 [35]

Answer:

From the graph attached, we know that \angle 1 \cong \angle 5 by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like \angle 1 and \angle 5.

We also know that, by definition of linear pair postulate, \angle 3 and \angle 1 are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that \angle 3 and \angle 1 together are 180°, because they are on a straight angle. That is, m \angle 3 + m \angle 1 = 180\°

If we substitute \angle 5 for \angle 1, we have m \angle 3 + m \angle 5 = 180\°, which means that \angle 3 and \angle 5 are also supplementary by definition.

4 0
2 years ago
Read 2 more answers
What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1
navik [9.2K]
Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

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

In summary, the answer is 
a1=3; an=an-1+4
which is choice B
4 0
2 years ago
Read 2 more answers
The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
tekilochka [14]

Answer:

1651

Step-by-step explanation:

let s say that the price before the increase is x

to apply an increase of 9% it does x + x*0.09 = x*(1+0.09)=x*1.09

and we know that this value is 1800

so

x*1.09=1800

<=>

x = 1800/1.09=1651.376147

to the nearest penny it gives 1651

4 0
2 years ago
Read 2 more answers
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