Seventh grade

A triangular prism is 40 inches long and has a triangular face with a base of 42 inches and a
height of 28 inches. The other two sides of the triangle are each 35 inches. What is the
surface area of the triangular prism?

Answer:

[tex]\sf 2 \frac14 \ cups[/tex]

Step-by-step explanation:

Add the amounts together:

[tex]\sf \implies \dfrac24+1+\dfrac34[/tex]

Convert the whole number 1 into a fraction with denominator 4:

[tex]\sf \implies \dfrac24+\dfrac44+\dfrac34[/tex]

As all the denominators are the same, we can simply add the numerators:

[tex]\sf \implies \dfrac{2+4+3}4[/tex]

[tex]\sf \implies \dfrac94[/tex]

Finally, convert the improper fraction into a mixed number:

[tex]\sf \implies 2 \frac14 \ cups[/tex]

Add all

[tex]\\ \rm\rightarrowtail \dfrac{2}{4}+\dfrac{3}{4}+\dfrac{4}{4}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{2+3+4}{4}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{9}{4}[/tex]

[tex]\\ \rm\rightarrowtail 2\dfrac{1}{4}cups[/tex]

Using the normal distribituion, it is found that 2.28% of of scores were less than 40.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given by, respectively:

[tex]\mu = 52, \sigma = 6[/tex].

The proportion of scores that were less than 40​ is the p-value of Z when X = 40, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40 - 52}{6}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

2.28% of of scores were less than 40.

More can be learned about the normal distribituion at https://brainly.com/question/24663213

Answer:

Angle ABC = 6x

Step-by-step explanation:

this is an isosceles triangle so the values of angle ACB and angle ABC are the same.

Answer:

403π/9 or 140.67

Step-by-step explanation:

First, you have to find the circumference of the circle

Circle circumference equation:

Circumference = dπ (Circumference = diameter x pi)

You have a radius of 31 which is equal to 62 diameter (diameter is double the radius)

So:

C = 62π

Now, you need to know that a full circle is 360 degrees and we want only 200 degrees of that,

So in other words, you want 200/360 of the circle's circumference.

You can find the measure of the 200 degree arc by doing

62π x [tex]\frac{200}{360}[/tex] = [tex]\frac{403pi}{9}[/tex] or 140.67

The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.

The sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,

80 + 40 + 13x - 5 = 180

120 - 5 + 13x = 180

115 + 13x = 180

subtract 115 from both sides of the equation

115 - 115 + 13x = 180 - 115

13x = 65

divide both sides by 13

13x / 13 = 65 / 13

x = 5

learn more on triangle here: https://brainly.com/question/15268683

Using it's concept, it is found that the domain for the expressions is, respectively, given by:

[tex]x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2[/tex]

It is the set that contains all possible input values.

In a fraction, the denominator cannot be zero, hence:

The third expression can be simplified, as:

(x + 5)/(x + 5) = 1.

The same is true for the fourth, as:

x²/x = 1.

Neither has any restriction, hence their domain is all real numbers, represented by [tex](-\infty, \infty)[/tex].

More can be learned about the domain of a function at https://brainly.com/question/25897115

Answer:

I'm guessing it is 12000

Step-by-step explanation:

let me now if it is wrong

[tex] \Large\tt{ANSWER}[/tex]

[tex]\LARGE \tt{12000 \: cm^3 }[/tex]

[tex]\Large \tt{SOLUTION}[/tex]

Volume = Length × Width × Height

For More Information, Visit this Link.

→ What is Volume:

Answer:

The area of the Trapezoid is :

h(a+b)/2

3(2+6.2)/2

3(8.2)/2

24.6/2

12.3 m²

Answer:

Step-by-step explanation:

I think you are to assume that this is a trapezoid and that the top right angle symbol is missing.

Area = (b1 + b2 ) *  h /2

Givens

b1 = 2

b2 = 6.2

h = 3

Solution

Area = (2 + 6.2)* 3 / 2           Combine what is inside the brackets

Area = 8.2 * 3 / 2                  Divide by 2

Area = 4.1 * 3                         Combine

Answer: Area = 12.3

Answer:

C. 56.42

Step-by-step explanation:

56 is a whole number and .42 is 42 hundredths

The height of the pole is  53 m

The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position

Let the height of the pole be x

We know that;

Tan 38 = 1.67 + x/70

Tan 38 * 70 = 1.67 + x

x = (Tan 38 * 70 ) - 1.67

x = 53 m

Thus we can see that the height of the pole is about 53 m

Learn more about angle of elevation:https://brainly.com/question/21137209

#SPJ1

Answer:

18.3% x 238 megabytes

0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).

Step-by-step explanation:

Answer:

step 1,×+8=_2

step2,×=_2_8

step3,×=_10

Answer

8

Step-by-step explanation:

Ratio: 40 : 60

Total amount - $20

40/100 x 20

= 8  (ANS)

i hope my answer is correct if not i apologize.

"If the population continues to change linearly", meaning the pattern or equation is the equation of a straight line.

[tex](\stackrel{x_1}{1994}~,~\stackrel{y_1}{4180})\qquad (\stackrel{x_2}{1999}~,~\stackrel{y_2}{3480}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3480}-\stackrel{y1}{4180}}}{\underset{run} {\underset{x_2}{1999}-\underset{x_1}{1994}}}\implies \cfrac{-700}{5}\implies -140[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4180}=\stackrel{m}{-140}(x-\stackrel{x_1}{1994}) \\\\\\ y-4180 = -140x + 279160 \\\\\\ y = -140x+283340~\hfill \boxed{P(t)=-140t+283340}[/tex]

what if t = 2002?

[tex]P(2002)=-140(2002)+283340\implies P(2002)= 3060[/tex]

Answer:

circumference = 2*PI*Y

Step-by-step explanation:

Answer:

16.02

Step-by-step explanation:

2. What inference can you make by comparing the measures

of variability?

I need the answer

16.02

Answer:

Step-by-step explanation:

top = 120sq m

middle = 17sq cm

bottom = 102 sq feet

[tex]area \: = 78[/tex]

[tex]area = length \: \times \: width[/tex]

[tex]78 = (x)(2x + 1)[/tex]

[tex]x = 6[/tex]

Thus the dimensions are 6 & 13

Answer:

6&13.All you need to do is find the factors of 78 and plug the smaller number into the equation provided in the equation. 2x+1 is our equation. so6*13 is 78 and 2x+1=13... 6for x to get 2*6+1=13

Step-by-step explanation:

Dilation is the change in size of of object. The length of the side OB' will be 3 units

From the given diagram, we can see that there is a change in the side of the triangle OAB to OA'B'

Given the following parameters

OB = 3/4 units

Scale factor = 4 units

The measure of OB' = 4 * 3/4 = 3 units

Hence the length of the side OB' will be 3 units

Learn more on dilation here: https://brainly.com/question/10253650

Answer:

3

Step-by-step explanation:

edg 2022

[tex]z + 2 = 50[/tex]

[tex]z = 50 - 2[/tex]

[tex]z = 48[/tex]

Answer:

z = 48

Step-by-step explanation:

z + 2 = 50 ( subtract 2 from both sides )

z = 48

$3299.62

total money he will have : $13,123.62

Answer:

Interest = $3,299.64 (nearest cent)

Step-by-step explanation:

Compound interest formula:  [tex]\sf I=P(1+\frac{r}{n})^{nt}-P[/tex]

where:

Given:

Substituting given values into the formula and solving for I:

[tex]\sf \implies I=9824(1+\frac{0.0362}{365})^{365 \times8}-9824[/tex]

[tex]\sf \implies I=13123.62461-9824[/tex]

[tex]\sf \implies I=3299.62 \ (nearest \ hundredth)[/tex]

Answer:

option A is the correct answer!!

Step-by-step explanation:

mark me brainliest

A) angel OJP

(name by its vertex, by the three points of the angle (the middle point must be the vertex),

Answer:

[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]

Step-by-step explanation:

This function has a slope of -1, a hole at x = -1, and a y-intercept of 5

Answer:

(−4, −18)

Step-by-step explanation:

f(x) = x^2 + 8x - 2

⇒  CONVERT TO VERTEX FORM

≥ f(x) = (x + 4)^2 - 16 - 2

≥ f(x) = (x + 4)^2 - 18

⇒ VERTEX IS AT:

≅ ((−4, −18))

Answer:

The answer is D......

Step-by-step explanation:

Step-by-step explanation:

She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.

Answer: The 200 adults

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

because angles on straight line add up to 180°,

180-130=50 :)

Answer

Step-by-step explanation:

So she needs to give 25 pencils to each student.

1 box = 12

number of boxes = 25/12

                                  =2.08

round it to 3

Answer: 55.20$

Step-by-step explanation:

1. Add up 35% with the 15% since Mario is paying for it

2. Multiply 120(the cost without any discount/tax) with the new discount percentage

3. Now with the answer from multiplying subtract it from 120.

4. With the answer, multiply the tax percentage(0.08)

5. Now add It to the discounted price.

6. Round it to the nearest hundredth