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elixir [45]
2 years ago
15

Is this correct pls help

Mathematics
1 answer:
Lyrx [107]2 years ago
4 0

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = \pi r^2h (where r is the radius and h is the height)

Radius = \dfrac12 diameter ⇒ r=\dfrac72=3.5

⇒ volume of round cake pan = \pi \times 3.5^2 \times 2=24.5\pi

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = wlh (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

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Triangle A has side lengths of 10 units, 24, units, and 26 units. Ryan cut out 2 copies of triangle A and joined them together t
sergejj [24]

Answer:

Perimeter of Rectangle will be 68 units.

Step-by-step explanation:

Given:

Length of side 1 = 10 units

Length of side 2 = 24 units

Length of side 3 = 26 units

Now we will check whether the triangle A is right angle triangle or not;

(Length of side 3)^{2} = 26^2 = 676

(Length of side 2)^{2} = 24^2 = 576

(Length of side 1)^{2} = 10^2 = 100

Now From above we can see that;

676 = 576 + 100

Hence we can say ;

(Length of side 3)^{2} = ](Length of side 2)^{2} + (Length of side 1)^{2}

By Converse of Pythagoras theorem.

"Hence When the square of the length of the hypotenuse is equal to sum of the square of other two sides we can say that triangle is a right angled triangle."

Now Given:

Ryan cut out 2 copies of triangle A and joined them together to form a rectangle.

So we can say that the hypotenuse side of the triangle will become diagonal of the rectangle and other two side will become length and width.

Now;

Length of rectangle = 24 units

Width of rectangle = 10 units.

We need to find the perimeter of rectangle.

Now Perimeter of rectangle is 2 times sum of Length and width.

framing in equation form we get;

Perimeter of rectangle = 2(l+w) = 2\times (24+10) = 2\times 34 =68 units.

Hence Perimeter of Rectangle will 68 units.

4 0
3 years ago
Please help!! Double points! write the ratios for sin X and cos X (Image attached)
Orlov [11]

Answer:

The ratio for sin(X) is \frac{\sqrt{119} }{12}

The ratio for cos(X) is \frac{5}{12}

Step-by-step explanation:

- The ratio of the sine of a right triangle is:

sin(\alpha)=\frac{opposite-side}{hypotenuse}

Since we need the ratio for angle X, \alpha =X. From the picture we can infer that the opposite side of X is \sqrt{119}. The hypotenuse (the side opposite to the right angle) is 12, so replacing the values:

sin(X)=\frac{\sqrt{119} }{12}

- The ratio of the cosine is:

cos(\alpha)=\frac{adjacent-side}{hypotenuse}

Similarly, \alpha =X, adjacent side = 5, and hypotenuse = 12, so

cos(X)=\frac{5}{12}

6 0
4 years ago
Read 2 more answers
Find the maxium value of 16x+ 96y​
Molodets [167]
  1. <em><u>Step-by-step explanation:</u></em>
  2. <em><u>Explanation: To find the maximum, we must find where the graph shifts from increasing to decreasing. To find out the rate at which the graph shifts from increasing to decreasing, we look at the second derivative and see when the value changes from positive to </u></em><em><u>negative</u></em>

<em><u>follow p</u></em>

3 0
2 years ago
Graph ​ 24x+25=−6y+7 ​.
MrRa [10]

Okay, So you have 24x+25=6y+7

Step 1: Pull out like factors : 24x + 18 + 6y  =   6 • (4x + y + 3)

Step 2: 4x+y+3  = 0

y-intercept = -3/1  = -3.00000

 x-intercept = -3/4  = -0.75000

Slope     = -8.000/2.000 = -4.000

And bam, you have a straight line

5 0
4 years ago
Please help I need help I will mark brainliest
Sedaia [141]

a:

Just divide both sides by 7. Since 7 is positive, you don't need to change the inequality sign:

7j>77\iff j>11\}

In set notation, we write

\{j \in \mathbb{R}\ :\ j>11

b:

Subtract 9 from both sides:

17\leq x+9 \iff 8\leq x

In set notation, we write

\{x \in \mathbb{R}\ :\ x\geq 8\}

7 0
3 years ago
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