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lina2011 [118]
2 years ago
8

For what value of r is the parallelogram a rhombus

Mathematics
1 answer:
Gre4nikov [31]2 years ago
5 0

Answer:

9

Step-by-step explanation:

7r+18=r²

r²-7r-18=0

factorizing

r²+2r-9r-18=0

r(r+2)-9(r+2=0

(r-9)(r+2)=0

r-9=0

r=9

check

(r²)=(9*9)=81

7r+18=7(9) + 8=81

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Please help as soon as possible
eduard

Answer:

it's 96ft squared hope it helps

4 0
3 years ago
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A water skiing jump is 4.6m long. It rises 1.1m. What
lorasvet [3.4K]

The inclination to the nearest tenth of a degree exists 0.24146

<h3>What is the inclination to the nearest tenth of a degree?</h3>

The given scenario includes a right-angled triangle where the length of the ramp exists hypotenuse and the rise of ramp exists the perpendicular.

Given: H = 4.6 m and P = 1.1 m

We have to use the trigonometric ratios to find the angle. The ratio that has to be used should involve both perpendicular and hypotenuse

Let x be the angle then

sin x = P/H

sin x = 1.1/4.6

sin x = 0.23913

$$sin^{-1} x = 0.24146

The inclination to the nearest tenth of a degree exists 0.24146

To learn more about trigonometric ratios refer to:

brainly.com/question/14033725

#SPJ9

4 0
9 months ago
The Martinez family went to the movies and paid $60 for two adult tickets and three children’s tickets. The Wright family consis
Pepsi [2]

Answer:

a = $13.5

Step-by-step explanation:

Let a = adult tickets

Let c = children tickets

Translating the word problem into an algebraic equation;

<u>For the Martinez family;</u>

2a + 3c = $60

<u>For the Wright family;</u>

3a + 5c = $95.5

Thus, the simultaneous equations are;

2a + 3c = $60 ..........equation 1

3a + 5c = $95.5 .........equation 2

We would use substitution method to solve;

From equation 2, we make a the subject of formula;

3a = 95.5 - 5c

a = (95.5 - 5c)/3

<em>Substituting the value of "a" into equation 1, we have;</em>

2[(95.5-5c)/3] + 3c = 60

Multiplying all through by 3;

2(95.5 - 5c) + 9c = 180

191 - 10c + 9c = 180

191 - c = 180

c = 191-180

c = $11

To find the value of a;

2a +3c = 60

<em>Substituting the value of "c" into the equation, we have;</em>

2a + 3(11) = 60

2a + 33 = 60

2a = 60 - 33

2a = 27

a = \frac{27}{2}

a = $13.5

<em>Therefore, the cost of an adult movie ticket is $13.5. </em>

5 0
2 years ago
floodwalls are used to prevent damage from floods. A town built a floodwall 4 4/8 feet tall. Another town built a floodwall 7 1/
Bas_tet [7]

Answer:3 3/8

Step-by-step explanation:

Im not sure but im not dumb good luck

just minus 4 from 7 = 3 and 1-4=3

7 0
3 years ago
The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main ent
forsale [732]

Answer:

0.6 feet

Step-by-step explanation:

We solve this question using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent.

Where:

Opposite = Height /Length of the ramp = ?

Adjacent = Distance from the base of the ramp = 4 feet

θ = 8.1°

Therefore,

tan 8.1° = x/4

Cross Multiply

x = tan 8.1 × 4

x = 0.5692843028 feet

Approximately = 0.6 feet

Length of the ramp = 0.6 feet.

6 0
2 years ago
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