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nadezda [96]
3 years ago
7

How do i check 11z-5=9z+7

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
5 0

Answer:

z=6

Step-by-step explanation:

11z-9z=7+5

2z=12

z=6

NARA [144]3 years ago
3 0

Answer:

z= 6

Step-by-step explanation:

You check it by plugging the value, z, into the equation.

11(6)-5=9(6)+7

61=61

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Calculate the side lengths a and b to two decimal places
muminat

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}

\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374

\frac{\text{Sin110}}{b}=0.060374

b = \frac{\text{Sin110}}{0.060374}

b = 15.56

b ≈ 15.56

\frac{\text{Sin45}}{a}=0.060374

a = \frac{\text{Sin45}}{0.060374}

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

3 0
3 years ago
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Elenna [48]

Answer:

the third option

Step-by-step explanation:

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3 0
3 years ago
For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation o
riadik2000 [5.3K]

Answer: The length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.

Step-by-step explanation:

According to the empirical rule , 68% of the population falls within one standard deviations from the mean.

Given : For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation of 5 days.

According to the Empirical Rule, the length of approximately 68% of all pig pregnancies will fall between 114-1(5) days  and 114+1(5) days .

i.e. the length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.

7 0
3 years ago
A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed num
katovenus [111]

Answer:

8 feet

Step-by-step explanation:

Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.

Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.

  • 2(2 1/3) + 2(1 3/4) = perimeter of rectangle

To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.

  • 2 1/3 ⇒ 7/3
  • 1 3/4 ⇒ 7/4

Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.

  • 2(7/3) + 2(7/4)
  • 14/3 + 14/4

To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.

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  • 14/4 (3/3) = 42/12

Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.

  • 54/12 + 42/12 = 96/12

You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.

  • 96/12 = 8

The perimeter of the rectangle is 8 feet.

7 0
3 years ago
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2 years ago
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