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3 years ago

Help me find the surface area of a triangular prism with work please

Mathematics

1 answer:

Leokris [45]3 years ago

5 0

The diagram shows how the surface area can be "flattened" into two rectangles, one for the end triangles that is 6 cm by 5.3 cm, and one for the lateral area that is 13 cm by 19.3 cm.

The total area is
.. (6 cm)*(5.3 cm) +(13 cm)*(19.3 cm)
.. = 31.8 cm^2 +250.9 cm^2
.. = 282.7 cm^2

You might be interested in

Find the whole number equal to the fraction below. Enter your answer in the space provided. 21 /3

kramer

Answer:

the answer is 7

Step-by-step explanation:

divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped

8 0

3 years ago

What does x equal to? “?” = x Solve by using fractions and round to the nearest hundredth if necessary

Anna007 [38]

Answer:

3.5 inches

Step-by-step explanation:

We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.

Since they are similar figures, their corresponding sides are proportional.

The 4 inch side of left figure corresponds to 16 in side of right side figure.

The "?" inch side of left figure corresponds to 14 in side of right side figure.

We can replace "?" with "x" and setup two ratios and equate them:

$\frac{4}{16}=\frac{x}{14}$

Now, we can cross multiply and solve for x:

$\frac{4}{16}=\frac{x}{14}\\16x=4*14\\16x=56\\x=\frac{56}{16}\\x=3.5$

Hence,

the unknown side marked "?" is equal to 3.5 inches

6 0

3 years ago

Find anequation for the perpendicular bisector of the line segment whose endpoints are(3, -1) and (-9,5).

Mariulka [41]

The perpendicular bisector goes through the midpoint.

What is the midpoint of the 2 points?

We simply add up the x points and divide by 2. Then we add up the y points and divide by 2.

So,

Midpoint is:

$(\frac{3-9}{2},\frac{-1+5}{2})=(-3,2)$

Also, the perpendicular bisector's slope is the negative reciprocal of the line's slope.

The slope of the line is change in y points divided by change in x points.

Slope =

$\frac{5--1}{-9-3}=\frac{5+1}{-12}=\frac{6}{-12}=-\frac{1}{2}$

The slope (m) of the perpendicular line (negative reciprocal) is basically:

$2$

Equation of line is:

$y-y_1=m(x-x_1)$

m is the slope (what we got "2")

x1 and y1 are the respective point where it passes through (which is the midpoint, which is (-3,2)

So, equation of perpendicular bisector is:

$\begin{gathered} y-y_1=m(x-x_1) \\ y-2=2(x+3) \\ y=2x+6+2 \\ y=2x+8 \end{gathered}$

4 0

1 year ago

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sampl

kompoz [17]

Complete Question

Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal.the correct conclusion at $\alpha =0.001$ is?

Answer:

There is no sufficient evidence to support the professor believe

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 18$

The sample size is $n = 15$

The sample mean is $\= x = 19$

The standard deviation is $\sigma = 1.7$

The level of significance is $\alpha = 0.001$

The null hypothesis is $H_o: \mu = 18$

The alternative hypothesis is $H_a : \mu > 18$

The critical value of the level of significance from the normal distribution table is

$Z_{\alpha } = 3.290527$

The test hypothesis is mathematically represented as

$t = \frac{\= x - \mu }{ \frac{\sigma}{ \sqrt{n} } }$

substituting values

$t = \frac{ 19 - 18}{ \frac{1.7}{ \sqrt{15} } }$

$t = 2.28$

Looking at the value of t and $Z_{\alpha }$ we can see that $t < Z_{\alpha }$ so we fail to reject the null hypothesis.

This mean that there is no sufficient evidence to support the professor believe

3 0

4 years ago

Mathematics pls solve i need to check my answers bcs my teacher is sucky

Lilit [14]

If H is the circumcenter, then each of EH, FH, and GH are perpendicular bisectors of the legs BC, CD, and DB, respectively. So, for instance, EH cuts BC in half so that BE and EC have the same length.

Also, BH, CH, and DH are radii to the circumcircle of the triangle, so they all have the same length.

(1) CD = CF + FD = 2 • FD = 2 • 32 = 64

(2) CE = BE = 26

(3) HD = HC = 33

(4) GD = 1/2 • BD = 1/2 • 58 = 29

(5) By the Pythagorean theorem,

HG² + GD² = HD²

HG = √(33² - 29²) = 2 √(62)

(6) Similar to (5); by the Pythagorean theorem,

HF² + FD² = HD²

HF = √(33² - 32²) = √(65)

5 0

3 years ago