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frutty [35]
3 years ago
15

Find the measures of the acute angles of the right triangle shown

Mathematics
1 answer:
yanalaym [24]3 years ago
7 0

9514 1404 393

Answer:

  • 2x° = 64°
  • (x-6)° = 26°

Step-by-step explanation:

The acute angles in a right triangle are complementary:

  2x° +(x -6)° = 90°

  3x = 96 . . . . . . . . . divide by °, add 6

  x = 32 . . . . . . . . . divide by 3

  (x-6)° = (32 -6)° = 26°

  2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

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Three roots of a fifth degree polynomial function f(x) are -2, 2, and 4 + i. Which statement describes the number and nature of
Juli2301 [7.4K]

We know that imaginary roots always come in pairs, so we already know 4 solutions

-2, 2, 4 + i and a pair of 4 + i

Since imaginary roots always come in pairs we wont have more than 2 imaginary roots, since its a fifth degree root and we can only have 5 roots

So for sure, we will have 3 real roots and 2 imaginary roots

Last option, f(x) has three real roots and two imaginary roots

3 0
4 years ago
Solve the following equation. then place the correct number in the box provided. 2x + 1 < 9
allsm [11]
I think the answer is 4
8 0
3 years ago
The next model of a sports car will cost 12.8% less than the current model. The current model costs $38,000. How much will the p
GarryVolchara [31]

The cost of next model car is $ 33136.

Step-by-step explanation:

Given,

The cost of current model car is $38000

The next model car is 12.8% less than the current model.

To find the cost of next model

Formula

If the price of object is $x and it decreases r% for next year, the value o the object for next year is = $ x×(100-r)%

So,

The cost of next model = $ 38000×(100-12.8)%

= $ 38000×87.2%

= $ 33136

4 0
4 years ago
Which relation is a direct variation that contains the ordered pair (2, 7)? y = 4x – 1 y = StartFraction 7 Over x EndFraction y
Vanyuwa [196]

Answer:

The relation y=\frac{7}{2}x or y = seven-halves x is a direct variation that contains the ordered pair (2,7).

Step-by-step explanation:

Given:

The ordered pair = (2, 7).

Now, to get the direct variation:

As (2,7) lies on it.

So, direct variation means y=kx.

x=2.

y=7.

Now,

y=kx

7=k\times 2

\frac{7}{2} =k

k=\frac{7}{2}

Now, to get the direct variation:

y=kx

y=\frac{7}{2}x

y=\frac{7}{2}x or y = seven-halves x.

Therefore, the relation y=\frac{7}{2}x or y = seven-halves x is a direct variation that contains the ordered pair (2,7).

6 0
4 years ago
A 36-foot-tall tree casts a 9-foot shadow. How tall is a nearby tree that casts a 14-foot shadow at the same time?
kiruha [24]

Answer:

Proportion states that the two fractions or ratios are equal.

Given the statement: A 36-foot-tall tree casts a 9-foot shadow.

To find the height of the nearby tree that cast a 14 foot shadow at the same time.

Let x be the height of the nearby tree.

By definition of proportion;

\frac{\text{Height of thetall tree}}{\text{Shadow of the tall tree}} =\frac{\text{Height of the nearby tree}}{\text{Shadow of the nearby tree}}

Substitute the given values we get;

\frac{36}{9}=\frac{x}{14}

Simplify:

4 = \frac{x}{14}

Multiply both sides by 14 we get;

x= 4 \times 14 = 56 foot.

therefore, the height of the nearby tree is, 56 foot.



7 0
3 years ago
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