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3 years ago

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.

2 answers:

8 0

Umm..... according to what I know The ratio of the sides of a 30°-60°-90° triangle are:
short leg : long leg : hypotenuse
1 : √3 : 2
 if the short leg is 7, the long leg is √3 times that:
Answer:
7√3 ≈ 12.12 inches

garik1379 [7]3 years ago

5 0

Answer:

Long $7\sqrt{3}$ Or 12,12

Hypotenuse 14

(Inch /cm.. we don’t have any info about units)

Step-by-step explanation:

As we have an 90ºangle we can use trigonometry.

To know the long side we use tangent because it involves the side we know and the one we want to know.

Tg & = opposite side/ adjacent side

Then opposite side = tg& adjacent side

To get the long side i need to use the wide angle as the opposite, and the short side as the adjacent side.

Long= tg 60º . 7 = $7\sqrt{3}$

To get the hypotenuse we can use

Cos&=adjacent/hypotenuse

Then hypotenuse=adjacent/cos&

Using the same angle

Hypotenuse = 7/cos60º = 14

(As we have both sides we colud have used Pitágoras instead)

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1. -8(1+4x)+7x=-25-8x 2. -5+6(x-7)=-40+5x Could you show the work?

chubhunter [2.5K]

Answer:

1. x=1

2. x=7

Step-by-step explanation:

1. -8(1+4x)+7x=-25-8x

-8-32x+7x=-25-8x

8x-32x+7x=-25+8

-17x=-25+8

-17x=-17

$\frac{-17x}{-17} =\frac{-17}{-17} \\x=1$

2. -5+6(x-7)=-40+5x

-5+6x-42=-40+5x

-47+6x=-40+5x

x=47-40

x=7

5 0

3 years ago

If Jessica split 75 pencils between 8 people in her class and kept the leftovers, how many pencils did each classmate get?

Nataly [62]

Answer: Each classmate got 9 pencils

Step-by-step explanation: if you divide 8 from 75, you get 9 pencils for each classmate and 3 for Jessica to keep.

6 0

3 years ago

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Which diagram shows parallel lines cut by a transversal?

Arada [10]

Only the third model shows parallel lines cut by a transversal.

We can solve this problem by using some properties that parallel lines cut by a transversal have. First of all, corresponding angles are congruent, and since the angles in figure 1 are corresponding but not congruent, that means that figure one is out.

In addition, in figure two, alternate exterior and interior angles of parallel lines intersected by a transversal are congruent, so since they are not in the picture, that means that this figure is also out.

Figure three is correct because since those are same side interior angles, they need to be supplementary for those to be two parallel lines intersected by a transversal. Since they do, in fact, add up to 180°, that means that the answer is figure three.

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3 years ago

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Find the value of expression m(m-n) for m=3 and n=1 I need the ANSWER ASAP

Alex73 [517]

Answer:

Step-by-step explanation:

m = 3

n = 1

Equation

m(m - n) Substitute the givens

Solution

3(3 -1 ) Evaluate what is inside the brackets.

3(2) multiply

7 0

3 years ago

A rectangular flower bed covers an area of 11.76 square feet in the garden. The width of the flower bed is 3.5 feet less than it

Degger [83]

The length and width of the garden will be obtain as follows:
let the length be x ft, the width will be (x+3.5)ft
area of the bed will be:
A=length*width
11.76=x(x+3.5)
11.76=x^2+3.5x
thus
x^2+3.5x-11.76=0
solving this by quadratic formula we get:
x=[-b+/-sqrt(b^2-4ac)]/2a
thus plugging in the values we obtain
x=[-3.5+/-sqrt(3.5^2-4(-11.76*1))]/2
x=[-3.5+/-sqrt59.29]/2
x=[-3.5+/-7.7]/2
x=4.2 or -11.2
thus the length will be x=4.2 ft and the width will be x-3.5=0.7 ft

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3 years ago