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Rashid [163]
3 years ago
5

What are the dimensions

Mathematics
1 answer:
kobusy [5.1K]3 years ago
6 0

Answer:

456 sq. units

Step-by-step explanation:

Formula for the area of the square:

b(base)*h(height)

b=21

h=16

21*16=336

Formula for the area of the triangle:

b*h/2

b=36-21=15

h=16

15*16/2=120

Add the two shaped together:

336+120=456

Label your answer: 456 sq. units

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A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches
Taya2010 [7]
Answer: 8 inches

Solving Steps:

x(x + 6) = 112
x^2 + 6x = 112
x^2 + 6x - 112 = 0
(x + 14)(x - 8) = 0
x + 14 = 0
x = -14
^^^ reject because distance can’t be negative
x - 8 = 0
x = 8

Check:

x(x + 6) = 112
8(8 + 6) = 112
64 + 48 = 112
112 = 112
4 0
2 years ago
Write each decimal as a fraction in simplest form.<br> 1.0.75
mamaluj [8]

Answer:

43/40

Step-by-step explanation:

7 0
3 years ago
Write the equation of the line in slope-intercept form
aniked [119]
Equation in slope intercept form: y= -1/2x + 3
5 0
2 years ago
City health officials will conduct a two-sample t-test for a difference in means to investigate whether
Anvisha [2.4K]

Answer:

The calculated value     t =   2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means      

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the first sample size 'n₁' = 22

Given that the mean of the first sample x₁⁻ = 120

Given that the standard deviation of the sample (s₁) = 20

Given that the mean of the second sample x₂⁻ = 100

Given that the standard deviation of the second sample (S₂) = 30

<u><em>Step(ii):-</em></u>

T-test statistic

               t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }

     where

             S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2}   }{n_{1} +n_{2}-2 }

            S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2}   }{22 +15-2 }

           S² =  637.1428

           S = √637.1428 = 25.24168  

The standard deviation of the sample 'S' = 25.24168   

<u><em>Step(iii):-</em></u>

<u><em>Null Hypothesis:H₀:</em></u>

There is no difference between the means

<u><em>Alternative Hypothesis:H₁:</em></u>

There is a difference between the means

         T-test statistic

               t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }

              t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }

             t =   2.366

Degrees of freedom

           γ = n₁+n₂ -2 = 22+15-2 = 35

     t₀.₀₅ = 2.0301

The calculated value     t =   2.366 > 2.0301 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means          

3 0
3 years ago
Read 2 more answers
5. Solve the triangle. A = 54°, b = 11, c = 8
Gre4nikov [31]

Answer:

no triangles possible

Step-by-step explanation:

I hope this helps

3 0
2 years ago
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