If a cross-section of the block is cut perpendicular to the base and passes through the top vertex of a pyramid which of the following shapes describes the cross-section

Triangle
Rectangle
Trapezoid
Hexagon

area of rectangle= length × width

= 19×33

= 627 sq units

The area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

Given points of the triangle are:-

( -6,5 ) (-5,3 ) and (-8, 2)

Now we will apply the area formula for the triangle:-

[tex]A = \dfrac{1}{2} \times B\times H[/tex]

The base will be = [tex]\sqrt{(-5++8)^2+(3-2)^2)}=\sqrt{9+1}=\sqrt{10}}[/tex]

The Height will be = [tex]\sqrt{(-5+6)^2+(5-3)^2}=\sqrt5[/tex]

The area will be calculated as:-

[tex]A =\dfrac{1}{2}\times \sqrt{10}\times \sqrt{5}=\dfrac{5\sqrt{2}}{2}}[/tex]

Therefore the area of the given triangle will be [tex]\dfrac{5\sqrt{2}}{2}[/tex]

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Answer

[tex]x = \frac{\pi }{6} + 2\pi n, \frac{5\pi }{6} + 2\pi n, \frac{3\pi }{2} + 2\pi n[/tex], for any integer n

Answer:

D or 270°

Step-by-step explanation:

2sin^2x+sinx-1

2sin^2(270°)+sin(270°)-1=0

Answer:

8 hits

Step-by-step explanation:

The ratio is :

Now, we have 18 times at bat.

Multiply both sides of the ratio with 2 :

Harry should make 8 hits in 18 times at bat.

Answer:

last option (x-2)(x+1)/3

Step-by-step explanation:

(x^2-4)/(x-7) ÷ (3x+6)/(x^2-6x+7)

(x^2-4)/(x-7) * (x^2-6x+7)/(3x+6)

(x+2)(x-2)/(x-7) * (x-7)(x+1)/3(x+2)

(x-2)/1 * (x+1)/3

(x-2)(x+1)/3

Answer:

See below ~

Step-by-step explanation:

Question 3 : (x, y - 5)

Question 4 : (x + 4, y + 1)

Answer:

-9x + 4y

Step-by-step explanation:

Adding expressions:

     Like terms have same variable with same power.Combine like terms.

Here, x and (-10x) are like terms &

         (-2y) and 6y are like terms

x - 2y + (-10x + 6y) = x - 2y - 10x + 6y

                              = x - 10x - 2y + 6y

                               = -9x + 4y

Answer:

15° and 100°

Step-by-step explanation:

[tex]65 + 3x + 20x = 180[/tex]

[tex]23x = 115[/tex]

[tex]x = 5[/tex]

3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.

Answer:

16 muffins in each batch

Step-by-step explanation:

112/7=16

Answer:

14

Step-by-step explanation:

Given:

A student earned a grade of 70% on a math test that had 20 problems.

To Find:

How many problems on this test did the student answer correctly? ( round to the nearest whole number)

Solve:

When I solve these question I have a formula.

Which is

Number of question correctly ÷ Total × 100

Thus,

1/20 × 100 = 5%

2/20 × 100 = 10%

3/20 × 100 = 15%

4/20 × 100 = 20%

5/20 × 100 = 25%

6/20 × 100 = 30%

7/20 × 100 = 35%

8/20 × 100 = 40%

9/20 × 100 = 45%

10/20 × 100 = 50%

11/20 × 100 = 55%

12/20 × 100 = 60%

13/20 × 100 = 65%

14/20 × 100 = 70%

15/20 × 100 = 75%

16/20 × 100 = 80%

17/20 × 100 = 85%

18/20 × 100 = 90%

19/20 × 100 = 95%

20/20 × 100 = 100%

As you can see that 14/20 × 100 = 70%

Hence, the student answer 14 question correct.

Kavinsky

Answer:

Add the fractions together on the right side of the equation.

Step-by-step explanation:

Notice that two fractions on the right side of the equation in the previous step have the same denominator.  If two fractions have the same denominator, we can simply add the numerators together and place that over the common denominator.

[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}[/tex]

Finally, change the order of the terms in the numerator so that [tex]\sf b^2[/tex] is first:

[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}=\dfrac{b^2-4ac}{4a^2}[/tex]

Therefore, the solution is:

Add the fractions together on the right side of the equation

The surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.

The area of the outer layer of any object or cylinder is called the surface area. Here we have a cylinder with a base radius of 6 cm and a height of 8 cm.

The formula for the surface area of a cylinder:-

SA = 2πrl

SA = 2 x π x 6 x 8

SA = 301.6 cm ²

Therefore the surface area of a cylinder with a base radius of 6 cm and a height of 8 cm will be 301.6 square cm.

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Answer: Figure 1, Figure 2, Figure 3

Step-by-step explanation:

Blue figure Volume:

[tex](2 *5^{3} ) + (15*5*5) = 625feet^{3}[/tex]

Pink figure volume:

[tex](5^{3})+(5*5*17.5) + (12.5*2.5*5) = 718.75 feet^{3}[/tex]

Green figure volume:

[tex](4*12.5*11) + (2*9*11) = 748 feet^{3}[/tex]

Based on the number of people who are older than 35 years and the people with a hemoglobin level between 9 and 11, the probability is 0.531.

This question does not have the relevant data attached so I will use a similar question.

The probability that a person is older than 35 and has a hemoglobin level of between 9 and 11 can be found as:

= Person who has hemoglobin level of between 9 and 11 and is above 35 years / Total number of people older than 35 years

= (162 - 40 - 76) / 162

= 0.531

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Answer:

the answer is 1.9 ^^

Answer:

12362.70

Step-by-step explanation:

Becuae you have to use the principal and all that sorry i can not rpovide and explaination sorry brainly patrol pls dont delete this

The two equation that represents the information is x + y = 150

y = 3x

let

the number of rock music = x

the number of alternative music = y

Therefore,

x + y = 150

y = 3x

The two equation that represent the information are as follows:

x + y = 150

y = 3x

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Answer:

13.0236

Step-by-step explanation:

4^0.2x +6=43

(2^2)^0.2x +6=43

2^2*0.2x +6=43

Answer:

4 weeks

Step-by-step explanation:

Remaining money (per week) :

No. of weeks to buy shoes :

Answer:

hope it will help you

Step-by-step explanation:

hope it will help you

Answer:

∠N = 21

Step-by-step explanation:

Sum of all angles of triangle = 180°

   4x - 13 + 2x - 13 + 5x + 19 = 180

    4x + 2x + 5x  -13 - 13 + 19 = 180

Combine like terms

                       11x  - 7  = 180

                               11x = 180 + 7

                                11x = 187

                                  x = 187/11

x = 17

m∠N = 2x - 13

           = 2*17 - 13

           = 34 - 13

          = 21

Answer:

Here is the answer ..hope it helps:)

Answer:

126 square yards

Step-by-step explanation:

So first you want to use this formula:

2(L×W) + 2(L×H) +2(W×H)

Then plug it in:

2(6×5) + 2(6×3) + 2(5×3)

Next you solve:

6×5 = 30×2 = 60

6×3 = 18×2 = 36

5×3 = 15×2 = 30

After this you add them all up:

60 + 36 + 30 = 126

So you answer is 126 square yards

Hope this helps :)

Answer:

ProvideD :

To FinD :

SolutioN :

[tex] \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} [/tex]

[tex] \longrightarrow \tt \: a = 1082.43216[/tex]

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a. The number of twix bars is 21

b. The number of jolly rangers is 11.

Julianna has thirty two pieces of candy and has four twix bars for every two jolly rangers, we need to find the ratio of candy bars.

Let

Since for every four twix bars, she has two pieces of jolly rangers, the ratio of candy bars is

x:y = 4:2 = 2:1

The number of twix bars is 21

The number of twix bars x = ratio of twix bars/total ratio × total number of candy bars

So, x = 2/(1 + 2) × 32

= 2/3 × 32

= 64/3

= 21.33

≅ 21

So, the number of twix bars is 21

The number of jolly rangers is 11.

The number of jolly rangers y = ratio of jolly rangers/total ratio × total number of candy bars

So, y = 1/(1 + 2) × 32

= 1/3 × 32

= 32/3

= 10.66

≅ 11

So, the number of jolly rangers is 11.

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Answer:

B

Step-by-step explanation:

You would use the formula Length×Width×Height

In this question the length would be 67 in

The height would be 9 in

And the width would be 50 in

The unit of measure is inches

Cubed because this is a 3-dimesional shape

So the answer would be (50×67×9) in³

Answer:

632

Step-by-step explanation:

1580*0.4=632

The steps to translate the triangle ABC to A'B'C' are Shifted 3 units right and 2 units up.

The correct option is (B).

By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.

As per the given diagram:

We are given the diagram of two triangles drawn on a graph.

With the help of the graph, we can easily figure out the coordinates of each point of the triangle.

The steps to translate the triangle will be the same as that to translate any vertices of the triangle.

Let us consider A:

Coordinates of A = (2, 5)

Coordinates of A' = (5, 7)

For translating A to A':

3 units in +ve x direction. {right}

2 units in +ve y direction. {up}

Hence, The steps to translate the triangle ABC to A'B'C' are Shifted 3 units right and 2 units up.

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