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Brrunno [24]
3 years ago
10

A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the t

riangle to be 8 feet. The area of the logo must be at least 36 square feet. (The logo has to be seen from all the seats.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Use b for the base length of the triangular logo.

SOMEONE PLS HELP ME! THANK YOU!
Mathematics
1 answer:
Radda [10]3 years ago
3 0

Answer:

b\geq 9

In other words, the base must be at least 9 feet long.

Step-by-step explanation:

The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2}bh

Since we want to area to be at least 36 square feet:

\displaystyle \frac{1}{2}bh \geq 36

We are given that the height is eight feet. Substitute:

\displaystyle \frac{1}{2}(8)b\geq 36

Simplify:

4b\geq 36

Divide both sides by four. Hence, our inequality is:

b\geq 9

In words, this means that the base must be at least 9 feet long.

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A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5
Luba_88 [7]

Answer:

Yes, it will

Step-by-step explanation:

Given

Length of Ladder = 12 ft

Angle = 64

Required

Determine if it'll reach a height of 10.5ft from the base

See attachment for proper illustration.

<em>From the attachment, we want to determine that x be greater than 10.5</em>

Using sin formula:

Sin\ 64 = \frac{x}{12}

Multiply through by 12

x = 12 * sin\ 64

x = 12 * 0.8988

x = 10.79 (Approximated)

<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>

sin64 = x/12

x = 12* sin64

5 0
2 years ago
15 POINTS AND BRAINLIEST!!!!
ycow [4]
Yup c the brainliest you say
7 0
3 years ago
Can you answer ASAP PLZ answer with work
luda_lava [24]

Answer:

$43.70

Step-by-step explanation:

90.50 - 4 = 87.50

87.50 ÷ 2 = $43.70

¯\_(ツ)_/¯

4 0
3 years ago
MATH DETECTIVE:
sergeinik [125]

Answer:

- 5

Step-by-step explanation:

"I am a negative integer greater than -6."

This eliminates any number that is less than -6, as well as any positive number.

0 > x > -6

"I am less than -2."

This narrows down the possible numbers to:

-5, -4, -3.

"I am not equal to -2 + (-1)"

-2 + - 1

-2 - 1

- 3

The number is not '-3'.

"I am not equal to 2 - 6."

2 - 6

- 4

The number is not -4.

Your number should be -5.

Hope this helps.

6 0
2 years ago
H-E-B buys cases of almonds and walnuts. Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case. H-E-B
Korvikt [17]

x is case of almonds and y is case of walnuts.

Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.

H-E-B orders no more than 200 bags of almonds and walnuts at a time.

So,

x + y < 200

where x and y refers to the number of bags

=======================================================

H-E-B pays $24 per case of almonds and $27 per case of walnuts, but will not order more than $300 total at any one time.

But keep in mind that : Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.

So,

24 * (x/15) + 27 * (y/17) < 300

===========================================================

The constraints are:

x + y < 200

(24/15) x + (27/17) y < 300

So, the graph of the previous constraints is as following :

5 0
1 year ago
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