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san4es73 [151]
3 years ago
8

2qt:6qt::x:48qt, what is the value of x

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0
X=48!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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A triangle was dilated by a scale factor of 6. If sin aº
Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

\sin (a) = \frac{4}{5}

\sin (a) = \frac{opposite}{hypotenuse}

From definition:

\sin (a) = \frac{opposite}{hypotenuse}

Replacing:

\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units

8 0
3 years ago
The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triang
kipiarov [429]

Answer:

The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

Step-by-step explanation:

The image related to the exercise is necessary, to be able to solve therefore the attached one.

We have the following information:

Perimeter of the triangle = 58 units

Hypotenuse = 24 units

We have that the other two sides are equal and have x units, therefore we have the following:

x + x + 24 = 58

2 * x = 58-24

2 * x = 34

x = 34/2

x = 17

Now the triangle rotates around line k , and then it will result in a cone, which is a three-dimensional shape.

Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

4 0
2 years ago
Can someone help me find the measure of each angle indicated please
Lyrx [107]

Answer:

Option B, 105 would be correct

Step-by-step explanation:

The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°

Hope this helps!

5 0
2 years ago
How do you check your work after finding x
Sergio039 [100]

Answer:

replace the x with (*answer)

example 2x+5=13

say your answer is 4 then change it to 2(4)+5=13

and solve it should make the sum

3 0
2 years ago
Point (-4,-8) Reflected across the y-axis
nekit [7.7K]

Answer:

(4,-8)

Step-by-step explanation:

Where is the point on the opposite side of the y-axis?

The answer would be (4, -8)

5 0
2 years ago
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