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2 years ago

12

Alicia is making a triangular sign for the school play. The area of the sign is 558 in. Squared. The base of the triangle is 36

in. What is the height of the triangle?

1 answer:

Contact [7]2 years ago

4 0

Answer:

31

Step-by-step explanation:

Area = 1/2 (Base*height)

558 = (1/2)(36*H)

1116=(36H)

Height = 31

you can check it by putting that back into the equation

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Rolling two die, how many ways can a five show up on at least one die

IRINA_888 [86]

Total possibilities would be:

(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

You want 5 on at-least one, so mark 5th column & 5th raw.
There are 6 in both lines with 1 common = (5,5)

In short, Your Answer would be 11

Hope this helps!

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2 years ago

A walking trail is 3.8 miles long. If Gertrude walked the length of the 1 walking trail 13 times, how many miles did Gertrude wa

MAVERICK [17]

Answer:

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Step-by-step explanation:

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2 years ago

The price of 6 cans of soda is $5.10. What is the constant of proportionality that relates the cost in dollars, y, to the number

Setler [38]

Answer:

about $1.17 for each soda

Step-by-step explanation:

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2 years ago

Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2

Pie

Answer:

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function $\sin^2 x +\sinx-2$

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

$\sin^2 x +2\sinx-\sin x-2$

Now, we group the first two terms and the last two terms

$(\sin^2 x +2\sinx)+(-\sin x-2)$

Now, we take GCF from each group

$\sin x(\sin x +2)-1(\sin x+2)$

Factor out (sinx+2)

$(\sin x +2)(\sin x-1)$

Therefore, the factored form is (sin x +2)(sin x-1)

7 0

2 years ago

Read 2 more answers

which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9

elena55 [62]

Step-by-step explanation:

$\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1$

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

${c}^{2} = {a}^{2} - {b}^{2}$

Here a^2 is 9, b^2 is 4.

${c}^{2} = 9 - 4$

${c}^{2} = 5$

$c = \sqrt{5}$

So our foci is

$(2, - 5 + \sqrt{5} )$

and

$(2, - 5 - \sqrt{5} )$

6 0

1 year ago