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kotegsom [21]
3 years ago
11

For homework in math my problem is g-5=9

Mathematics
2 answers:
sergeinik [125]3 years ago
6 0
G is equal to fourteen (14)
Jobisdone [24]3 years ago
4 0

You didn't say what you're supposed to do with that equation.

Do you need to find out what number 'g' is ?

To do that, just add  5  to each side of the equation.
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The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. I
Elanso [62]

Answer:

NK \approx 7.001, MK = 2, MF \approx 7.001, A_{AMNFD} = 49.007

Step-by-step explanation:

According to the statement, we find the following inputs:

\angle MDK = \angle DMF = 45^{\circ} (Due to the condition of isosceles trapezoid)

MD = 9

NF = 5

Given than longer base and shorter base are parallel to each other, we conclude that:

\angle KND = 180^{\circ} -\angle NKD - \angle KDN

\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}

\angle KND = 45^{\circ}

\angle FND = 90^{\circ}-\angle KND

\angle FND = 45^{\circ} (By definition of complementary angles)

\angle FND = \angle NFM = 45^{\circ} (Due to the condition of isosceles trapezoid)

\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}

\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ} (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)

MO = DO = \frac{\sqrt{2}}{2}\cdot MD (By theorem for 45-45-90 Right Triangle)

NO = OF = \frac{\sqrt{2}}{2}\cdot NF (By theorem for 45-45-90 Right Triangle)

If we know that MD = 9 and NF = 5, then we find that:

DO = MO \approx 6.364

NO = OF \approx 3.536

The value of MK is obtained from the following relationship:

MK = \frac{MD-NF}{2}

MK = \frac{9-5}{2}

MK = 2

And the value of KD is calculated from this expression:

KD = MD-MK

KD = 9-2

KD = 7

Now by the Pythagorean Theorem we find that:

NK = \sqrt{(NO+DO)^{2}-KD^{2}}

NK = \sqrt{9.9^{2}-7^{2}}

NK \approx 7.001

And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:

MF = NO + DO \approx 7.001

Lastly, the area of the isosceles trapezoid is determined by the following formula:

A_{AMNFD} = NF\cdot NK + MK\cdot NK

A_{AMNFD} = NK\cdot (NF+MK)

If we know that NK \approx 7.001, NF = 5 and MK = 2, then the area of the figure is:

A_{AMNFD} = (7.001)\cdot (5+2)

A_{AMNFD} = 49.007

8 0
3 years ago
Write a problem to go along with the multiplication sentence 3 x 3/10. Then solve your problem.
ad-work [718]
Answer:

If each of three people are given three-tenth of an apple shared, what fraction of the apple was received by the three people?

9/10

Explanation:

The given multiplication is 3 x 3/10

The word problem that can result to the mathematical expression 3 x 3/10 is:

<em>If each of three people are given three-tenth of an apple shared, what fraction of the apple was received by the three people?</em>

Since each of the people get 3/10 of the apple

The three people received a total share of 3 x 3/10 = 9/10r

3 0
2 years ago
$400 is invested for 5 years at 12% p.a. compounded monthly.
Lera25 [3.4K]

Answer:

$ 326.68  interest earned at 5 yrs

Step-by-step explanation:

Period = 1 month      Periods = 5 x 12 = 60   periodic interest = .12/12 = .01

400 ( 1 +.01)^60  =  726.68      value in account after 5 years

      subtract the original deposit to find the interest earned

                726.68 - 400 = 326.68

7 0
2 years ago
HURRY PLEASE When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6? The ratios are equivale
erma4kov [3.2K]

Answer:

The ratios are equivalent.

Step-by-step explanation:

If you multiply both 5 and 6, the ratio stays the same.

5:6 = 10:12 = 15:18 = 20:24 etc.

You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.

24/20 = 1.2

15/18 = 1.2

10/12 = 1.2

6/5 = 1.2

6 0
3 years ago
Solve the system of equations<br> y = 152 + 9<br> y= 22 – 20
iris [78.8K]

Answer:

No solution

Step-by-step explanation:

Substitution method:

(Since y values are defined, make them equal to each other)

y = 152 + 9

y= 22 – 20

152 + 9 = 22 -20

161 ≠ 2

A false statement

3 0
3 years ago
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