Find the surface area of the following triangular prism.
Answer: 144 ft squared
Step-by-step explanation:
Let's find the two bases first. They are triangles with a base of 6 and a height of 8. The formula for the area of a triangle is b * h * 1/2 = 6 * 8 * 1/2 = 24. There are two so you would do 24 * 2 which is 48.
Then let's find the area of the other three faces, all of which have a length of 4. One has a width of 8 so you would do 4 * 8 which is 32. Another has a width of 6 so you would do 4 * 6 which is 24. The last one has a width of 10 so you would do 4 * 10 which is 40.
Add up the areas of the two bases and three faces together:
48 + 32 + 24 + 40 = 144 ft squared
Hope this helped!
Hugo and Koby are measuring the heights of plants in biology class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
The answers are shorter, higher, 2cm, 15cm, 20% and 15%.
Step-by-step explanation:
Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.
% error = (difference in values / actual value) × 100
Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.
Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.
% error = (difference in values / actual value) × 100
Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.
Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.
Answer:
Step-by-step explanation:
Simplify - 10x -4 +3x
Combine the like terms -10x and 3x to get -7x.
The answer would be -7x - 4
[tex]\text{Hey there!}[/tex]
[tex]\mathsf{Simply: -10x - 4+3x}[/tex]
[tex]\mathsf{First\ group\ your\ like\ terms}[/tex]
[tex]\mathsf{Like\ terms:-10x\ \&\ 3x}[/tex]
[tex]\mathsf{-10x+3x=-7}[/tex]
[tex]\mathsf{New\ equation: -7 x- 4}[/tex]
[tex]\boxed{\boxed{\bf{Answer:\mathsf{-7x-4}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
HELP PLEASE QUICK!!!
Answer
-6 -12
Step-by-step explanation:
Write the expression 4/5 (x + 1) in standard form
multiply 4/5 ×1=4/1=4
4+1=5
Answer:
Step-by-step explanation:
[tex]\frac{4}{5}x+\frac{4}{5}[/tex]
Triangle KNM is isosceles, where angle N is the vertex.
Isosceles triangle K N M is shown. N L is a perpendicular bisector of angle K N M. Angle K N L is (5 x + 10) degrees and angle L N M is (6 x minus 1) degrees.
What is the measure of angle K?
11º
25º
50º
65º
Answer:
25°
Step-by-step explanation:
In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.
This means
[tex]m\angle KNL=m\angle LNM[/tex]
Since
[tex]m\angle KNL=(5x+10)^{\circ}\\ \\m\angle LNM=(6x-1)^{\circ},[/tex]
you have
[tex]5x+10=6x-1\\ \\5x-6x=-1-10\\ \\-x=-11\\ \\x=11[/tex]
No, find the measure of angles KNL and LNM:
[tex]m\angle KNL=(5\cdot 11+10)^{\circ}=65^{\circ}\\ \\m\angle LNM=(6\cdot 11-1)^{\circ}=65^{\circ}[/tex]
and the measure of angle KNM is
[tex]m\angle KNM=m\angle KNL+m\angle LNM=65^{\circ}+65^{\circ}=130^{\circ}[/tex]
Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then
[tex]m\angle K=\dfrac{1}{2}(180^{\circ}-130^{\circ})=25^{\circ}[/tex]
Answer:
25 Degrees
Step-by-step explanation:
What is the additive inverse of 6x^2+x-2
Answer:
https://brainly.com/question/11963602
Step-by-step explanation:
4/6 + 1/3 solve this plez
Yo sup??
[tex]4/6=2*2/2*3\\=2/3\\\\4/6+1/3\\=2/3+1/3\\=2+1/3\\=3/3\\=1\\[/tex]
Hope this helps
Which expressions are equal to 9/41. If u answer I’ll give you best brainliest
Option a: Sin F equal to [tex]\frac{9}{41}[/tex]
Option e: Cos G equal to [tex]\frac{9}{41}[/tex]
Explanation:
Option a : Sin F
Let us determine the value of Sin F from the right triangle.
The formula for Sin F is [tex]\sin F=\frac{o p p}{h y p}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\sin F &=\frac{o p p}{h y p} \\&=\frac{H G}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\sin F &=\frac{9}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]
Hence, Option a is the correct answer.
Option b : Cos F
The formula to determine the value of Cos F is [tex]\cos F=\frac{a d j}{h y p}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\cos F &=\frac{a d j}{h y p} \\&=\frac{F H}{F G} \\&=\frac{40}{41}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]
Hence, Option b is not the correct answer.
Option c: tan F
The formula to determine the value of tan F is [tex]\tan F=\frac{o p p}{a d j}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\tan F &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{9}{40}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\tan F &=\frac{9}{40}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]
Hence, Option c is not the correct answer.
Option d : Sin G
The formula to determine the value of Sin G is [tex]\sin G=\frac{o p p}{h y p}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\sin G &=\frac{o p p}{h y p} \\&=\frac{FH }{F G} \\&=\frac{40}{41}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\sin G &=\frac{40}{41}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]
Hence, Option d is not the correct answer.
Option e : Cos G
The formula to determine the value of Cos G is [tex]\cos G=\frac{a d j}{h y p}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\cos G &=\frac{a d j}{h y p} \\&=\frac{HG}{F G} \\&=\frac{9}{41}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\cos F &=\frac{40}{41}\end{aligned}[/tex] which is equal to [tex]\frac{9}{41}[/tex]
Hence, Option e is the correct answer.
Option f : tan G
The formula to determine the value of tan G is [tex]\tan G=\frac{o p p}{a d j}[/tex]
Thus, substituting the values, we get,
[tex]\begin{aligned}\tan G &=\frac{o p p}{a d j} \\&=\frac{F H}{H G} \\&=\frac{40}{9}\end{aligned}[/tex]
Hence, [tex]\begin{aligned}\tan G &=\frac{40}{9}\end{aligned}[/tex] which is not equal to [tex]\frac{9}{41}[/tex]
Hence, Option f is not the correct answer.
Thus, the expression which is equal to [tex]\frac{9}{41}[/tex] is Sin F and Cos G
The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?
A: C=15πr
B: C15=π
C: C=r30π
D: C30=π
Answer:
The equation which expresses the ratio of the circumference to the diameter of a circle is [tex]\frac{C}{30}=\pi[/tex] ⇒ D
Step-by-step explanation:
π is the ratio between the circumference of the circle and the length of its diameter
[tex]\frac{C}{d}=\pi[/tex] , where
C is the circumference of the circled is the diameter of the circle∵ The circumference of the circle is C
∵ The radius of the circle is 15 units
∴ r = 15 units
- Find the diameter of the circle
∵ The diameter of the circle d = 2 r
∴ d = 2(15) = 30 units
∴ The diameter of the circle is 30 units
∵ [tex]\frac{C}{d}=\pi[/tex]
∵ d = 30 units
∴ [tex]\frac{C}{30}=\pi[/tex]
The equation which expresses the ratio of the circumference to the diameter of a circle is [tex]\frac{C}{30}=\pi[/tex]
. COUPONS Kendra used 35 cents more
in coupons at the store than Leanne.
Leanne used 75 cents less than Becca,
who used 50 cents more than Jaclyn.
Jaclyn used 40 cents in coupons. What
was the value of the coupons Kendra
used?
Answer:
Kendra used 50 cents
Step-by-step explanation:
Jaclyn used 40 cents. Becca used 50 more than Jaclyn (90). Leanna used 75 cents less than Becca (15). Kendra used 35 cents more than Becca (50).
J=40
B=90
L=15
K=50
Hope this helps! c:
Using the given information, the value of the coupons Kendra used IS 50 cents.
Substitution method: Multiple equations can be solved using the substitution method, where we substitute the value of one variable in different equations to calculate the value of other variables.
Let,
Cents used by Kendra in coupons= K
Cents used by Leanne in coupons= L
Cents used by Becca in coupons= B
Cents used by Jaclyn in coupons= J
Using the given information,
Kendra used 35 cents more in coupons at the store than Leanne,
K=L+35......................................................................................(1)
Leanne used 75 cents less than Becca,
L+75=B......................................................................................(2)
Becca used 50 cents more than Jaclyn,
B=J+50......................................................................................(3)
Jaclyn used 40 cents in coupons,
J=40
Substituting J=40 in (3),
B=90
Substituting B=90 in (2),
L=15
Substituting L=15 in (1),
K=50
Thus, Kendra used 50 cents in coupons.
Learn more about equations, here:
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To simplify the express 1/2 (60+8)Martha used which property in step1
Answer:
34
Step-by-step explanation:
BODMAS (Bracket, Division, Multiplication, Addition, Subtraction )rule
First we solve brackets :
60+8=68
1/2(68)= 34
Is the slope of 5,0 and 8,4 positive,negative, zero or undefined?
It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
Answer:
55
Step-by-step explanation:
412.5 / 7.5 =55
The speed of the driving will be 55 miles/hr. Speed is represented as the pace of change of the distance or the height attained.
What is speed ?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its SI unit is m/sec.
The given data in the problem is;
The time taken is,t=7.5 hours.
The distance travelled is,d=412.5 miles
v is the speed of driving =?
The formula for the distance is;
d=v×t
v=d/t
Substitute the given values;
v=412.5/7.5
v=55 miles/hr
Hence, the velocity of the driving will be 55 miles/hr.
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PLEASE HELP WITH THESE TWO QUESTIONSSS 1. Which value is equivalent to sin20∘?
2. What is the measurement of PQ?
Answer:
a) [tex]\cos(70\degree)[/tex]
b) 12.72 units
Step-by-step explanation:
Recall that the sine and cosine are completed functions.
This means that: [tex]\sin(x)=\cos(90-x)[/tex]
[tex]\sin(20\degree)=\cos(90-20)[/tex]
[tex]\sin(20\degree)=\cos(70\degree)[/tex]
Recall that: sine ratio is opposite/hypotenuse
[tex]\sin 58=\frac{|PQ|}{15}[/tex]
This implies that:
[tex]|PQ|=15\sin 58[/tex]
[tex]|PQ|=15(0.848)[/tex]
[tex]|PQ|=12.72[/tex]
Ivanka has a ribbon that is 4.5 inches long. Michal has a ribbon that is 3 1/10 times the length of ivanka’s ribbon. How long is michal’s ribbon? Express the answer to the nearest hundredth
Answer:
6.30
Step-by-step explanation:
Ivanka’s ribbon = 4.5 inches long
Michal’s ribbon is 3 1/2 times ivanka’s
Therefore,
Michal’s = 3 1/2 x 4.5
= 7/5 x 4.5
= 31.5/5
= 6.3 = 6.30 to the nearest hundredth
3h - j when h = 8 and j = 11
If a cube has the area of 144 m^2 on each face, then what would the surface area be?
Answer:
[tex]\text{Surface area of cube}=864\text{ m}^2[/tex]
Step-by-step explanation:
We have been given that a cube has the area of 144 m^2 on each face.
We know that a cube has 6 faces, so total surface area of given cube would be 6 times area of its one face.
[tex]\text{Surface area of cube}=6\times 144\text{ m}^2[/tex]
[tex]\text{Surface area of cube}=864\text{ m}^2[/tex]
Therefore, the total surface area of the cube would be 864 square meters.
Answer:
the answer will be 864 m^2
Step-by-step explanation:
6*144 m^2 = 864 m^2
Go math book unit 5 page 310 answer key
Step-by-step explanation:310 x 5=1550
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3
3
cubed of melted purple liquid. The radius of the cone is 333 cm.
Question:
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?
Answer:
The height of the cone is [tex]9 \ cm[/tex]
Explanation:
It is given that the radius of the cone is [tex]3 \ cm[/tex]
The volume of the cone is [tex]27\pi[/tex]
The height of the cone can be determine using the formula,
[tex]$V=\frac{1}{3} \pi r^{2} h$[/tex]
Substituting the values [tex]V=27 \pi[/tex] and [tex]r=3[/tex], we get,
[tex]$27 \pi=\frac{1}{3} \pi(3)^{2} h$[/tex]
Multiplying both sides by 3, we have,
[tex]$81 \pi= 9\pi h$[/tex]
Dividing both sides by [tex]$9 \pi$[/tex], we have,
[tex]9=h[/tex]
Thus, the height of the cone is [tex]9 \ cm[/tex]
Angle A and Angle B are supplementary angles. If
m angle A = (2x + 26)° and m angle B = (x + 25)', then find the measure
of Angle B.
Answer:
12 Degrees
Step-by-step explanation:
angle A and angle B are supplementary angles.
angle A is 14 times as large as angle B.
Let angle A be x and let angle B be y.
then we have x+y=180
x=14y
14y+y=180
15y=180
y=12
x=168
Angle A is 168 degrees and angle B is 12 degrees.
Is 48 a solution to 2y = 24
Answer:
No
Step-by-step explanation:
2y = 24
y = 24/2
y = 12
so the answer is incorrect
Answer:
False
Step-by-step explanation:
The correct answer is 12
Jason and Jeremy work together at a juggling-ball factory. Jason lives 25 miles away from the factory and drives at 60 miles per hour. Jeremy lives 35 miles away from the factory and drives at 70 miles per hour. If they leave their houses at the same time, then
(a) who arrives at the factory first ?
(b) how long is it until the other person arrives?
Jason arrives at the factory first
It takes 5 minutes until the other person arrives
Solution:
The time taken is given by formula:
[tex]Time\ taken = \frac{distance}{speed}[/tex]
Jason lives 25 miles away from the factory and drives at 60 miles per hour
Therefore, time taken by Jason is:
[tex]Time\ taken = \frac{25}{60}\ hour[/tex]
Convert to minutes
1 hour = 60 minutes
Therefore,
[tex]Time\ taken = \frac{25}{60} \times 60\ minutes = 25\ minutes[/tex]
Jeremy lives 35 miles away from the factory and drives at 70 miles per hour
Therefore time taken by Jeremy is:
[tex]Time\ taken = \frac{35}{70}\ hour\\\\Time\ taken = \frac{35}{70} \times 60\ minutes\\\\Time\ taken = 30\ minutes[/tex]
They leave their houses at the same time
25 minutes < 30 minutes
Thus Jason arrives first
Jason arrives to the factory in 25 minutes
Jeremy arrives to the factory in 30 minutes
⇒ 30 - 25 = 5 minutes
Jeremy arrives after Jason by 5 minutes
It takes 5 minutes until the other person arrives
nanci has a large fish tank that contains fish. The ratio of orange fish to black fish is 5:8. If nanci has a total of 20 orange fish, then how many black fish are inn the tank?
There are 32 black fish in the tank
Step-by-step explanation:
Nanci has a large fish tank that contains fish
The ratio of orange fish to black fish is 5 : 8Nanci has a total of 20 orange fishWe need to find how many black fish in the tank
∵ The ratio between the orange fish to the black fish is 5 : 8
∵ She has 20 orange fish
By using the ratio method
→ orange : black
→ 5 : 8
→ 20 : x
By using cross multiplication
∵ 5 × x = 20 × 8
∴ 5 x = 160
- Divide both sides by 5
∴ x = 32
∵ x represents the number of the black fish
∴ The number of the black fish is 32
There are 32 black fish in the tank
Learn more:
You can learn more about the ratio in brainly.com/question/11286417
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Jarret walks his puppy outside every day for 30 minutes. Angela walked her puppy every day for 90 minutes. Find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days. Then graph the results as ordered pairs. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?
Answer:
Read the answers below, including the graph.
Step-by-step explanation:
1. Let's find the number of minutes that each puppy was walked for 1, 2, 3, and 4 days.
Day 1 Day 2 Day 3 Day 4
Angela 90 180 270 360
Jarret 30 60 90 120
Ordered pairs for Angela's puppy: (1,90); (2,180); (3,270); (4,360)
Ordered pairs for Jarret's puppy: (1,30); (2,60); (3,90); (4,120)
2. How many more minutes does Angela spend walking her puppy over 2 days compared to Jarret walking his puppy over 2 days?
180 - 60 = 120
Angela spend walking her puppy 120 more minutes over 2 days compared to Jarret
This quarter circle has a radius of 7 centimeters. What is the area of this figure? Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.
|_____|cm²
Answer:
[tex]area \: of \: quarter \: circle \\ = \frac{ \theta}{360 \degree} \times \pi \: {r}^{2} \\ \\ = \frac{90 \degree}{360 \degree} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: {7}^{2} \\ \\ = \frac{1}{4} \times 3.14 \times \: 49 \\ \\ = 38.465 \: \: {cm}^{2} [/tex]
Answer:
38.47
Step-by-step explanation:
I just took the k12 test and 38.465 is wrong
what is the perimeter of a football field 31 ft. by 20ft.?
Answer:102
Step-by-step explanation:you do 31+31=62 then 20+20=40 then 62+40=102
What is the value of x?
21
24
32
44
Answer:
21
Step-by-step explanation:
im god
x+3y=6
x-3y = 12
Using elimination
Answer:
look at the picture shown
Answer:
x = 9 ; y = -1
Step-by-step explanation:
because one equation is 3y and the second is -3y they will cancel out (eliminate) so the term y will be gone and you combine (add) the rest of the terms and end up with
[tex]2x=18[/tex]
then divide both sides by 2 to get: x = 9
plug in the value of x into one of the original problems
[tex]9+3y=6[/tex]
and solve for y
[tex]3y=-3\\y=-1[/tex]
if you plug in the values of x and y into the equations it should be true
Your new place needs a 12 ft by 18 ft rug. You notice that these sides are 50% longer than the rug from your old place. What were the dimensions of the old rug
Answer:
The dimensions of the old rug are 8 ft by 12 ft
Step-by-step explanation:
Let
x ----> the length of the old rug
y ----> the width of the old rug
we know that
[tex]100\%+50\%=150\%=150\100=1.5[/tex]
so
The dimensions of the old rug multiplied by the factor 1.5 must be equal to the dimensions of the new rug
so
[tex]1.5x=12\\x=8\ ft[/tex]
[tex]1.5y=18\\y=12\ ft[/tex]
therefore
The dimensions of the old rug are 8 ft by 12 ft