Show solution please

Answer:

8.3 units

Step-by-step explanation:

Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.

The hypotenuse of the red triangle

[tex] = \sqrt{ {7}^{2} + {4}^{2} } [/tex]

[tex] = \sqrt{65} [/tex]

The hypotenuse of the red triangle is the common side of the yellow triangle's base.

d is equal to the hypotenuse of the yellow triangle.

The length of d

[tex] = \sqrt{ { \sqrt{65} }^{2} + {2}^{2} } [/tex]

[tex] = \sqrt{65 + 4} [/tex]

[tex] = \sqrt{69} [/tex]

[tex] = 8.30662...[/tex]

= 8.3 units

Answer:

8.3 units

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

All the steps are in the photo I attached

Answer:

1. 21 +35

2.5

Step-by-step explanation:

Answer:

1.) 21 + 35

2.) 5

Step by step explanation:

Answer:

Zero, Never

Step-by-step explanation:

2 doesn’t equal 3 so it will never be true.

The probability of the player getting a hit is 0.214.

Step-by-step explanation:

Since we have given that Probability that a baseball player gets a hit if the weather is good 20d=40\%=0.4 Probability that a baseball player gets a hit if the weather is not t good=20\%=0.2 Probability of good weather =7\%=0.07 Probability of not 93\%=0.93 good weather =100-7= According to question, the probability of the player getting hit is given by 0.4 * 0.07 + 0.2 * 0.93; =0.214

Answer:

y=7/4x+2

Step-by-step explanation:

The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y − 5 = 7/4(x − 1)

Convert the equation into a slope-intercept form. Then we have

y − 5 = 7/4(x − 1)

y − 5 = (7/4)x − (7/4)

y = (7/4)x − (7/4) + 5

y = (7/4)x + 13/4

The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.

More about the linear equation link is given below.

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Answer:

Choice D.

Step-by-step explanation:

In interval notation the domain is (-∞, -2) U (-2, 1) U (1, ∞)

your answer is 0.00011596

Answer:

1 radian = 57.2958 degrees i dont know if thats

what you wanted to know?

Answer:

Let point's possessed by school A = x

and point possessed by School B = y

And the statement given Regarding the school are :

School X has eight more points than School Y. School X has three times as many points as School Y .

Writing these statements in terms of equation

1.   x = y + 8

2.  x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y - y = 8

2 y= 8

y =  

As , x= y + 8 gives x = 4 + 8 = 12

Point possessed by School A = 12 points

Points possessed by school B =  4 points

Answer:

7/8

Step-by-step explanation:

3.5833 is the answer to this question.

Answer: Triangle 1 = 30 m2

Triangle 2 = 15 cm2

Step-by-step explanation:

Triangle area formula = 1/2 x base x height

Area1 = 1/2 x 10 x 6

= 30

Area2 = 1/2 x 6 x 5

= 15

Answer:

The area of the triangle is 15 cm and rectangle is 30 or 60

Step-by-step explanation:

[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]

Answer: 5329, 3025, 2304

Step-by-step explanation:

I just did the test

Pythagorean triple generated is 5329

What is Pythagorean triple?

A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime

We have,

([tex]x^{2}[/tex]+[tex]y^{2}[/tex] )=( [tex]x^{2}[/tex]-[tex]y^{2}[/tex]) + [tex]2xy[/tex]

Using Points,

x =8, y=3

According to the questions

Taking square in both sides

[tex](x^{2} + y^{2}) ^{2}[/tex] = [tex](x^{2} - y^{2} ) ^{2}[/tex] + [tex](2xy)^{2}[/tex]

when, x = 8, and  y = 3

[tex](8^{2} + 3^{2} )^{2}[/tex] = [tex](8^{2} - 3^{2}) ^{2}[/tex]  + [tex](2.8.3)^{2}[/tex]

               = 3025 + 2304

               = 5329

Hence ,Pythagorean triple is 5329

To learn more about Pythagorean triple from here

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Answer:

Step-by-step explanation:

Answer:

1408

Step-by-step explanation:

Answer:

1,408 cm³.

Step-by-step explanation:

To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.

[tex]4*8*44=1,408 in^3.[/tex]

Therefore, the volume of the rectangular box is 1,408 cm³.

Answer:

17.728

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

To find 20% of something, we can just multiply it by 0.2

25 × 0.2 = 5

Have a good day :)

Answer:

The mean is 21.

The median is 21

There is no mode here.

Step-by-step explanation:

Answer:

36 cm

Step-by-step explanation:

Answer:

B., C., D., E., and F.,

Step-by-step explanation:

They all need exponents by a 10

Answer:

b

Step-by-step explanation:

Answer:

628.319 rounded= 628.3

Step-by-step

Answer:

28.51 cubic units

Step-by-step explanation:

From the given information;

The surface area is 56 and not 5656

Let assume that:

the length of the base = a &

the height of the box = h

∴

The volume of the box = a²h &

The surface area (A) = 2a² + 4ah

A = 2a² + 4ah

56 = 2a² + 4ah

56 - 2a²  = 4ah

[tex]h = \dfrac{56-2a^2}{4a}[/tex]

The volume (V) = a²h

[tex]V = a^ 2( \dfrac{56-2a^2}{4a}) \\ \\ V = \dfrac{56a -2a^3}{4} \\ \\ V = \dfrac{2a(28- a^2)}{4} \\ \\ V = \dfrac{(28-a^2)a}{2}[/tex]

Taking the maximum of this function by assuming v = [0, [tex]\sqrt{8}[/tex]]

[tex]V = \dfrac{a(28-a^2)}{2}[/tex]

[tex]V(0) = \dfrac{0(28-0^2)}{2}=0[/tex]

[tex]V(\sqrt{8}) = \dfrac{\sqrt{8}(28-(\sqrt{8})^2)}{2} \\ \\ \implies \sqrt{8} \dfrac{(28-8)} {2} \\ \\ = 10 \sqrt{8}[/tex]

For the critical point V' = 0

[tex]V = \dfrac{a(28-a^2)}{2} \\ \\ V = \dfrac{28a}{2}- \dfrac{a^3}{a} \\ \\ V = 14 a - \dfrac{a^3}{2} \\ \\ V' = 14 - \dfrac{3a^2}{2} \\ \\ 0 = 14 - \dfrac{3a^2}{2} \\ \\ 14 =\dfrac{3a^2}{2}\\ \\ a^2 = 14 \times \dfrac{2}{3} \\ \\ a^2 = \dfrac{28}{3} \\ \\ a = \sqrt{\dfrac{28}{3}} \\ \\ a = \sqrt{9.333} \\ \\ a = 3.055[/tex]

Thus, side of the base (a) = 3.055 units

Recall that:

height  [tex]h = \dfrac{56-2a^2}{4a}[/tex]

[tex]h = \dfrac{56-2(3.055)^2}{4(3.055)}[/tex]

h = 3.0551 units

The maximum volume now = a²h

= (3.055)²(3.0551)

= (9.333)(3.0551)

= 28.51 cubic units

Answer:

x ( side of the square base) = 43,42  ul

h = ( the height f the box ) = 0,17 ul

Step-by-step explanation:

V = Ab * h    where   Ab  is an area of the base and h is the height of the box

as is this case s a square base box then  Ab = x²    ( s the side of the square.

The surface area is ( box without lid): area of the base   x²  plus 4 lateral areas each one equal to  x*h

So   x² +  4 x*h = 5656   u²

Then    4*x*h  = 5656 - x²

h  =  5656 - x² )/ 4*x

V(x) = x² ( 5656  -  x²  )/ 4*x

V(x) = x ( 5656  - x² ) / 4

Tacking derivatives on both sides of the equation :

V´(x) = (1/4 ) * [ (5656 - x² ) - x *2*x]

V´(x) = (1/4 ) * ( 5656 - 3*x² )

v¨(x) = 0        (1/4 ) * ( 5656 - 3*x² ) = 0    3*x² = 5656

x² = 1885,33

x  = √ 1885,33

x  =  43,42  ul

And h  = 5656 - x² )/ 4*x

h  =  [( 5656 - (43,42)²] /4 * 5656

h  = 3770,70 / 22624

h  =  0,17 ul

Answer:

1= 145°

Step-by-step explanation:

80° + 65°= 145

180 - 145 = 35

180- 35 = 145

Answer:

The answer is 145°

Answer:

3 and 10

Explanation:

5 * 3 is 15 and 5 + 10 is 15.

Answer:

[tex]r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda[/tex]

Answer:

$35,640

Step-by-step explanation:

$55×6p×12d×9h=$35,640