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3 years ago

What is the surface area of this triangular prism rounded to the nearest tenth?

Mathematics

2 answers:

Paladinen [302]3 years ago

7 0

Answer:

B. 145.3 ft2

Step-by-step explanations:

finlep [7]3 years ago

5 0

Answer:

The surface area of the triangular prism is $145.3$ $ft^2$

Step-by-step explanation:

Step 1: Finding the two area of two triangles

Area of the triangle = $\frac{1}{2} (base \times height})$

Area of the triangle = $\frac{1}{2} (9.8\times 5.33})$

Area of the triangle = 26.117

Area of 2 triangles = $52.234$

Step 2: Finding the area of the side rectangles

Area of the rectangle = $length \times breadth$

Area of the rectangle 1 = $6.2 \times 3.8$ = 23.56 $ft^2$

Area of the rectangle 2 = $8.5 \times 3.8$ = 32.3 $ft^2$

Area of the rectangle 3 = $9.8 \times 3.8$ = 37.24 $ft^2$

Step 3: surface area of the triangular prism.

Surface area of the triangular prism = 52.234 + 23.56 + 32.3 + 37.24

Surface area of the triangular prism = 145.334 $ft^2$

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What number do i multiply π(pi)^2 by to end up with a number with no decimal

Tomtit [17]

Answer:

1/π²

Step-by-step explanation:

On multiplying π² by its inverse value, you get the answer to be 1, which has no decimal points.

π² × 1/π² = 1

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2 years ago

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In a poll of 1000 adults in July 2010, 540 of those polled said that schools should ban sugary snacks and soft drinks. Complete

erastova [34]

Answer:

$z=2.53$

$p_v =P(z>2.53)=0.0057$

The p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so then we have enough evidence to reject the null hypothesis, and we can say that at 5% of significance, the proportion of adults who support a ban on sugary snacks and soft drinks is more than 0.5 or 50%.

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

X=540 represent the adults that said that schools should ban sugary snacks and soft drinks

$\hat p=\frac{540}{1000}=0.54$ estimated proportion of adults that said that schools should ban sugary snacks and soft drinks

$p_o=0.5$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that majority of adults (more than 50%) support a ban on sugary snacks and soft drinks, the system of hypothesis are:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.53$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a one side right tailed test the p value would be:

$p_v =P(z>2.53)=0.0057$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so then we have enough evidence to reject the null hypothesis, and we can say that at 5% of significance, the proportion of adults who support a ban on sugary snacks and soft drinks is more than 0.5 or 50%.

7 0

3 years ago

You put $800 in an account that earns 4% simple interest. Find the total amount in your account after each year for 3 years. (Pl

alexandr402 [8]

To get 4% of 800 you times 800 by 4 and divide it by 100. Once you have that amount you add it to 800 to find the amount you will have in your bank the first year. To get the next year's amount you then get 4% of 832(because after the first year you have more than $800) and then add the 4% to 832, that is the answer for the second year. To find the third year's amount you get 4% of the new amount (last year's total) and add it to last year's total, that is your total for the third year. So the first year will be: (800x4÷100)+800 =32+800 =832 The second year will be: 832+(832x4÷100) =832+33.28 =865.28 The third year will be: (865.28×4÷100)+865.28 =34.61(rounded off)+865.28 =899.89

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3 years ago

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A cone has a volume of 1,256 cubic centimeters. If the height of the cone is 12 centimeters, what is the radius of the base in c

luda_lava [24]

Answer:

The radius 10 cm

Step-by-step explanation:

∵ The volume of the cone = 1/3 πr²h

∵ v = 1256 cm³

∵ h = 12 cm

∴ 1256 = 1/3 π (12) r²

∴ r² = 1256 × 3/12π = 100 cm

∴ r = √100 = 10 cm

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2 years ago

A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and

Paladinen [302]

2t + 3p = 26
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8 0

3 years ago

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