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3 years ago

FOR BRAINLIEST ASAP!!!

Mathematics

1 answer:

a_sh-v [17]3 years ago

7 0

Answer:

Calculator cost = $34

Step-by-step explanation:

x + (x+140) = 208

2x + 140 = 208

x=34

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Solve. 1. The Children's Theater can seat 1,575 people in 63 equal rows The can seat 2,048 people in equal rows. How many more o

erma4kov [3.2K]

At the Children's Theater, each row can seat 25 people. So, if there are 63 rows, there would be the total of 1,575 people.

At the Bartell Theater, which can seat 2,048 people, there are 64 rows. Each row can seat 32 people.

So, 7 more people are seated in each row at the Bartell Theater than at the Children's Theater.

6 0

3 years ago

If the ball leaves her hand 6 feet above the ground at 65 feet/second: a) what is the maximum height of the ball

FinnZ [79.3K]

$~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&65\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&6\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+65t+6$

Check the picture below, the maximum occurs at the vertex of the parabolic path, so

$\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+65}t\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\left(-\cfrac{ 65}{2(-16)}~~~~ ,~~~~ 6-\cfrac{ (65)^2}{4(-16)}\right)\implies \left(\cfrac{65}{32}~~,~~6+\cfrac{4225}{32} \right) \\\\\\ \left(\cfrac{65}{32}~~,~~\cfrac{4609}{32} \right) \implies \stackrel{maximum~height}{(2.03125~~,~~\stackrel{\downarrow }{72.015625})}$

6 0

2 years ago

Triangle FGH has the following measures: m∠G=47∘, f=30.2, and m∠H=79∘. What is the length of side g? 31.5 36.6 54.0 27.3

Ghella [55]

Answer:

27.3

Step-by-step explanation:

47 + 79 = 126

180 - 126 = 54

m∠F= 54∘

then use the sine rule

looks like if you were solving a ratio problem

30.2/sin of 54∘ = g/sine of 47∘

30.2/.809 = g/.7314

.809g = 30.2 times .7314

.809g = 22.08828

g = 22.08828/.809 =

27.3031891224

https://www.authmath.com/solution/28-Trianale-FGH-has-the-following-measures-m-angle-G-47-circ-f-30-2-and-m-angle--1699882758987781

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2 years ago

If the translation T maps point A(7,2) onto point A′(5,5), what is the translation T?

VMariaS [17]

Answer:

< - 2, 3 >

Step-by-step explanation:

To translate from A(7, 2) to A'(5, 5 )

There is a shift of - 2 units in the x- direction and a shift of + 3 units in the y- direction.

That is (x, y ) → (x - 2, y + 3 ) ← translation rule, or

The translation is < - 2, 3 >

5 0

3 years ago

3. Mrs. LeBlanc is making a Pokémon box. The length of the box is 12 inches greater than its width, and its height is 5 inches l

allsm [11]

Answer:

The width is 20 inches, the length is 32 inches and the height is 15 inches.

Step-by-step explanation:

Let x inches be the width of the box. If the length of the box is 12 inches greater than its width, then the length of the box is x+12 inches. If the height of the box is 5 inches less than its width, then the height of the box is x-5 inches.

The volume of box is

$V=\text{length}\cdot \text{width}\cdot \text{height}\ in^3.$

Therefore,

$9600=x\cdot (x+12)\cdot (x-5).$

Solve this equation:

$x(x^2+12x-5x-60)=9600,\\ \\x^3+7x^2-60x-9600=0.$

The integer solutions of this equation can be among the divisors of -9600. The divisors of 9600 are:

$\pm1, \pm2, \pm3, \pm4,\pm5,\pm6,\pm8,\pm10,\pm12,\pm15,\pm16,\pm20,\pm24,\pm25,\pm30,\pm32,....$

We can check all these divisors and see that x=20 is a solution, then using synthetic division

$x^3+7x^2-60x-9600=(x-20)(x^2+27x+480).$

Since the quadratic factor has discriminant $D=27^2-4\cdot 480=-1191$ we can state that the only solution is x=20 inches. The width is 20 inches, the length is 32 inches and the height is 15 inches.

4 0

3 years ago