Find the surface area of the prism.
A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.
Answer:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
Which choice is equivalent to the expression below
5x sqrt2 - 3 sqrt2 + x sqrt2
Answer:
answer is D I think
Step-by-step explanation:
.............
A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center, how far from the center are the foci located?
Answer:
60 feet from the center.
Step-by-step explanation:
As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:
c² = a² - b² (1)
Where:
c: Length from center to foci.
a: length of half the hall.
b: length of the ceiling.
Replacing the given data into (1) we have:
c² = (130/2)² - (25)²
c = √65² - 500
c = √3600
c = 60 feetHope this helps
Write the equation of the parallel line - x + 2y = 12 that goes through the
point (10,8).
Write your answer in in slope-intercept form,
y = m x +
b
slope
y-intercept
Answer:
Step-by-step explanation:
In ΔMNO, the measure of ∠O=90°, MN = 60 feet, and OM = 11 feet. Find the measure of ∠N to the nearest degree.
Answer:
I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)
Step-by-step explanation:
Use the distributive property to expand - 3x * (4d - 5e - 3f)
9514 1404 393
Answer:
-12dx +15ex +9fx
Step-by-step explanation:
- 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)
= -12dx +15ex +9fx
What is the radius of a sphere with a volume of 12,348 π cubic feet?
Answer:
Radius = 21
Step-by-step explanation:
Volume of a sphere = 4/3 * pie * radius^3
12,348 pie = 4/3 * pie * radius ^3
12,348 = 4/3 * radius^3
(12,348 * 3)/ 4 = radius^3
9261 = radius^3
radius = [tex]\sqrt[3]{9261}[/tex]
radius = 21
What is the circumference?
(radius = 4)
Answer:
25.13
Step-by-step explanation:
C = 2πr
C = 2π(4)
C = 25.13
Hope this helps!
Find all vertical asymptotes of the following function f(x)=9x^2-64/2x+14
Answer:
Step-by-step explanation:
Was the latter half of this function, -64 / 2x + 14, meant to be:
-64 / 2x + 14, or
-64 / (2x + 14)?
In the first case the vertical asymptote is x = 0.
In the second, the vertical asymptote is the root of 2x + 14, or x = -7
Use parentheses in problems such as this one, to eliminate ambiguity.
Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2
Answer:
Area of a circle = πr^2 if pi here = 3
then (3 × 81) in^2 = 243 in^2
Hope it helps
Answer:
The area of circle is 254.34 in².
Step-by-step explanation:
Given :
[tex]\small\purple\bull[/tex] Diameter of circle = 18 inTo Find :
[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]
[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radiusSolution :
Here we have given that diameter of circle is 18 in. So, finding the radius of circle :
[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]
[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]
[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]
[tex]\implies{\sf{Radius = 9 \: in}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]
Hence, the radius of circle is 9 in.
[tex]\rule{200}2[/tex]
Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :
[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]
Hence, the area of circle is 254.34 in².
[tex]\rule{300}{1.5}[/tex]
Find the value of each variable in the parallelogram
PLEASE HELPPPP!!
Answer:
m = 35
n = 110
Step-by-step explanation:
70/2 = 35
70 + 70 = 140
360 - 140 = 220
220/2 = 110
hii! please help asap. i’ll give brainliest
Answer:
4
Step-by-step explanation:
The numbers you have are 2, 2, 3, 4, 8, 8, 8
First, cross out 2 on the very left and 8 on the very right.
Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
Anyone got me ? Let me knowww :)
Answer:
The answer is b
Step-by-step explanation:
The boys basketall team averages 52 points per game with a standard deviation of 7.0 points. What is the probability that the boys will score between -1.2 and 2.0 standard deviations of their average?
Answer:
0.6832
Step-by-step explanation:
Given :
Mean, m = 52
Standard deviation, s = 7
-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6
2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71
Zscore = (48.6 - 52) / 7 = - 0.486
Zscore = (71 - 52) / 7 = 2.714
P < -0.486) = 0.31348
P < 2.714 = 0.99668
P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832
Help me with this question
Answer:
24
Step-by-step explanation:
41-17=24
what does 4(15w) + 90 =
Answer:
110
Step-by-step explanation:
Answer:
60w+90
Step-by-step explanation:
That would be the simplified expression
At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.
Answer: 6% decrease
Step-by-step explanation:
Answer:
6% decrease
Step-by-step explanation:
Given that,
Initial number of students = 1200
At the end of the year there were 1128 students
We need to find the percent of change in enrollment.
Change in enrollment = 1200 - 1128 = 72
The percentage of change is :
[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]
So, there is a decrease of 6% in number of students.
The line y = 6 - 2x passes through the point (2, 2)
is it correct?
Answer:
Yes
Step-by-step explanation:
We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:
y = 6 - 2x
2 = 6 - 2(2)
2 = 6 - 4
2 = 2
Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x
Yes, the line y=6-2x passes through the point (2, 2).
Given that, the line y=6-2x passes through the point (2, 2).
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get
2 = 6-2(2)
2 = 2
Since, LHS = RHS
Yes, the line y=6-2x passes through the point (2, 2).
To learn more about the slope intercept form visit:
brainly.com/question/9682526.
#SPJ2
Please help, sorry if it’s blurry.
Answer:
0.35
Step-by-step explanation:
j.g susghe yo s9ss9sssisjwus
Answer: D) 385.2
What you give me in the comments 1,540.7......789.4.....1,155.5.....385. I think that was the choice for me to put what kind of answer you want!
Step-by-step explanation: Hope this help :D
HELP ASAP!!!!!!!!!!Please
Answer:
D) x = -3
Step-by-step explanation:
D
A
Which point is the
orthocenter of AABC?
F
E
B
A. Point D
B. Point E
C. Point F
Answer:
the answer is point f. mostly the answer of such type of questions are the points which do not lie ON the circle
Solve each equation, explain how you figured it out. (No fake answers!!Proper ones pleaser!!)
A. 25 - 3x = 40
B. 2 (x - 10) = -4
Answer:
A. x= -5
B. x= 8
Step-by-step explanation:
A. 25 - 3x = 40
-3x = 40 - 25
-3x = 15
x= 15/-3
x= -5
B. 2 (x-10) = -4
x-10 = -4/2
x-10 = -2
x = 8
A. 25 - 3x = 40
-3x = 40 - 25
= 15
-x = 15/3
x = -5
Checking
25 - 3*-5 = 40
25 + 15 = 40
40 = 40
LHS = RHS
B. 2(x-10) = -4
2x - 20 = -4
2x = -4 +20
x = 16/2 = 8
Hope u understand
Please mark as the brainliest
Thank You
Mila graphs the point A (5, 0) on a coordinate plane.
Which of the following statements are true?
Select all that apply.
Point A is 5 units to the________(Please fill this box any of these choices in A-E)
A. right of the origin and up 1 unit.
B. The x-coordinate of point A is 5.
C. The y-coordinate of point A is 5.
D. Point A is on the y-axis.
E. Point A is on the x-axis.
Answer:
B,E
Step-by-step explanation:
(5,0) (5=x, 0=y)
A is false because y = 0
B is true because x=5
c is false because y = 0
D is false because again y = 0
E is true because 5,0 is on the x axis
- Gage Millar, Algebra 2 tutor
What triangles can you make out of a rhombus
Answer:
Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.
Hope it helps ya mate! please give me brainliest!.ت︎ ت︎
For the pair of coordinates, describe the translation rule: A(-2,-6) to A'(-5, -9).
Answer: a=0 hope that helps sorry i don't have time to explain bye !
Step-by-step explanation:
on a venn diagram shade the region
a'n(bnc)
Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c: [tex]b \cap c[/tex]. (green "football")
image2 shows the complement of a (outside a): [tex]a'[/tex] (yellow)
image3 shows the intersection of those sets: [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it") :-)
If sine > 0 and tane < 0 then:
Answer:
its A
Step-by-step explanation:
I need help brainy pls!!!!!!!!
Answer:
its the first one
Step-by-step explanation:
im in 8th grade and im like a 11th grader bc im smart :)
Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)
Step-by-step explanation:
Consider LHS
[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]
Apply quotient identies
[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]
Multiply the fraction and sine.
[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Make cos x a fraction with cos x as it denominator.
[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]
so
[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]
Pythagorean Identity tells us sin squared and cos squared equals 1 so
[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]
Apply reciprocal identity.
[tex] \sec(x) = \sec(x) [/tex]