Answer:
20 ft
Step-by-step explanation:
Keep in mind that, both ratios are the same, let the length of the shadow be x, then you can make an equation that 30/ 40 = 15 / x, then 30x = 15 * 40 = 600, so x = 20.
A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches. 2 triangular sides have a base of 10 inches and height of 5.6 inches. 2 triangular sides have a base of 5 inches and height of 7.1 inches.
Answer:
Answer:
a) The base of the rectangular pyramid shown has an area of
60 square inches
b) A triangular face with a base of 10 inches has an area of 28 square inches.
c) A triangular face with a base of 5 inches has an area of 17.75 square inches.
d) The total surface area of the pyramid is 151.5 square inches.
Step-by-step explanation:
a) Solving for question a, we were given the following parameters
A rectangular pyramid. The rectangular base has a length of 10 inches and a width of 6 inches
The formula used to calculate the rectangular base of a rectangular pyramid =
Length × Width
Where :
Length = 10 inches
Width = 6 inches
Rectangular base = 10 inches × 6 inches
= 60 inches²
Hence, the base of the rectangular pyramid shown has an area of 60 square inches
b) Solving for question b, we have the following values given:
2 triangular sides have a base of 10 inches and height of 5.6 inches.
First step would be to solve for one triangular side first.
The area of the one triangular side = (Base × Height) ÷ 2
= (10 inches × 5.6 inches) ÷ 2
= 56inches² ÷ 2
= 28 inches²
Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 28 inches².
A triangular face with a base of 10 inches has an area of 28 square inches.
c) Solving for question c, the following parameters are given:
2 triangular sides have a base of 5 inches and height of 7.1 inches.
We would be to solving for one triangular side first.
The area of the one triangular side = (Base × Height) ÷ 2
= (5 inches × 7.1 inches) ÷ 2
= 35.5 inches² ÷ 2
= 17.75 inches²
Therefore, for the 2 triangular sides, since they have the same base and height, the other side as well would be 17.75 inches².
A triangular face with a base of 5 inches has an area of 17.75 square inches.
d) Solving for d, it is important to note that, a rectangular pyramid has 5 faces and they are: The rectangular base and 4 triangular faces
The formula for the total surface area of the rectangular pyramid is given as
Total Surface Area of the rectangular pyramid = Rectangular Base + Area of Triangular Side A + Area of Triangular Side B + Area of Triangular Side C + Area of Triangular Side D + Area of Triangular Side E
Total Surface Area of the Rectangular Pyramid = 60 inches² + 28 inches² + 28 inches² + 17.75 inches² + 17.75 inches²
Total surface Area of the Rectangular pyramid = 151.5 inches²
The total surface area of the pyramid is 151.5 square inches.
Step-by-step explanation:
BRAINLIEST PLEASE?
Answer:
50, 28, 17.75, 141.5
Step-by-step explanation:
A triangle has side lengths of 6, 7, and 10. Is it a right triangle? Explain
Answer:
As 6^2 + 8^2 = 10^2
Therefore, triangle is a right angle triangle
Step-by-step explanation:
Round $678.25 to the nearest ten dollars. PLS HELP MEEEEEEEE
Answer:
$678.30
Step-by-step explanation:
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ i will be very happy if u do. FIRST PERSON TO GET IT CORRECT GETS BRAINLIEST
Answer:
Step-by-step explanation:
x -12 > 0
x > 12
if x > 12 x-12
if x = 12 0
if x < 12 12-x
If p:q=1/3:2 and p:r=3/4:1/2 calculate the ratio p:q:r giving your answer in its simplest form
p:q = 1/3:2 = 1:6 = 3:18
p:r = 3/4:1/2 = 3:2
p:q:r = 3:18:2
What are the 4-factor pairs of 30?
Answer:
"Therefore, the factors in pairs which on multiplication gives the original number 30 are (1, 30), (2, 15), (3, 10) and (5, 6)."
Answer:
(1,30) and (2,15) and (3,10) and (5,6).
Step by step explanation:
Break down "30", into how many pairs of numbers you can. List all factors.
what is 500/2000 as a decimal if u get it right u get brainliest!!! pls and thank u
Answer:
it's 0.25 well good luck and i have a joke
I really really need help with this and no one is answering. I've looked everywhere for how to do this and I fell like its simple but I can't find it. given -2+4i, express the complex number in polar form. I know the answer is 2 root 5(cos2.03 + isin2.03), but I don't know where the 2.03 comes from. Can someone explain please?
Result:
Complex number:
The polar form of z is:
Explanation:
z = −2 + 4i
z = 4.4721 · (cos 117o + i · sin 117o)
The polar form of the complex number z = a + bi is:
z = r · (cos θ + i · sin θ)
where, r is the modulus of z and θ is an argument of z. The moduo for a = −2 and b = 4 is:
r = a2 + b2 = · · · = 4.4721 To find argument θ we use one of the following formulas:
b θ=arctan a ifa>0
b o θ=arctan a +180 ifa<0
θ=90o ifa=0andb>0 θ=270o ifa=0andb<0
Inthisexample: a=−2andb=4so:
θ=arctan a +180
θ=arctan 4 +180o −2
b o
θ = arctan (−2) + 180o θ ≈ 117o
Try this website it’s really helped me!
www.mathportal.org/calculators/complex-numbers-calculator/complex-unary-operations-calculator.php?val1=-2&combo1=1&val2=4&rb1=pol&ch2=useDecimals
Answer:
Step-by-step explanation:
a+bi = -2+4i
arctan(b/a)=arctan(4/-2)=-1.071
Because this falls in quardant 2, you have to add pi
1.071+pi=2.03
I hope this helps.
point
5 Julisha poured 0.9 liter of water into an
empty flask. She boiled the water for 15
minutes then measured the amount of water
that remained. She found that 80% of the
water remained in the flask. Measured in
liters, how much water evaporated?
Answer:
Wish I can help. But I really couldnt solve it. Sorry :(
Step-by-step explanation:
You pick a card at random. Without putting the first card back, you pick a second card at random. What is the probability of picking a 5 and then picking a number greater than 4?
Write your answer as a percentage.
Answer:
I'm sorry I genuinely don't know
Answer:
.33 for 5
Step-by-step explanation:
I need help please!!!!!
Answer:
y-intercept is (0, -2) and asymptote of y = -2.5
Step-by-step explanation:
If you substitute 0 in for x and simplify, then you will have the y-intercept
y = [tex]\frac{1}{2} (7)^{0} - 2.5 = \frac{1}{2} (1) - 2.5 = \frac{1}{2} - 2.5 = -2[/tex]
The y-intercept is (0, -2)
If the -2.5 were not there, then the graph would have an asymptote at y = 0 or the x-axis
The -2.5 moves the graph down 2.5 units so that y = -2.5 is the asymptote
Therefore, the first answer is correct
Solve x + 1 > 3. Graph the solution.
Answer:
x > 2
> means it's greater (goes in the right direction) than 2 and it's an OPEN circle
The solution of the given inequality is required.
The required graph is attached.
InequalitiesThe given inequality is [tex]x+1>3[/tex]
Solving the inequality we get
[tex]x+1>3\\\Rightarrow x>3-1\\\Rightarrow x>2[/tex]
The points which are greater than 2 all will be the solution set of the inequality.
The solution set will be [tex](2,\infty)[/tex]
In the graph the points towards the right of x = 2 will be in the solution set.
The point x = 2 will not be in the solution set.
Learn more about inequalities:
https://brainly.com/question/24372553
solve the following by completing the square :
x2 - 6x + 7 = 0
Answer:
Step-by-step explanation:
The graph shows the number of acres that mr.Henry has used on his farm for baking hay over several years. Using a line of best fit, approximately how many acres will he use for baling hay in the 5th year?
A- 100
B- 200
C- 300
D- 400
Answer:
100
Step-by-step explanation:
he is steadily going down if you look at the trend you can see a pattern.
is first going 50 down then 100 down hen 50 down again so the correct awnser should be 100
I need major help. I have a lot of missing work and really need help with algebra 1. (solving linear equations)
A.) x + 2 =7
B.) y - 4 =11
c.) 4m=12
D.) n\5=10
E.) x-6=9
F.) 29=17
G.) 3x4=10
H.) 4b-1=21
i.) 5-2c=1
j.) 3t-7=t +11
k.) 6 - 5x=3x-2
i.) 2 (x-5)=3xt 14
Some one pls helps ASAP plsss I’ll give brainiest
Answer:
A is the answer
Step-by-step explanation:
The answer is A like he said above
ALGEBRA 2!!!!!!!HELP
Answer:
x = - 1, x = - 11
Step-by-step explanation:
Given
2| x + 6 | - 4 = 6 ( add 4 to both sides )
2|x + 6 | = 10 ( divide both sides by 2 )
| x + 6 | = 5
The absolute value function always gives a positive result, but the expression inside can be positive or negative, that is
x + 6 = 5 or - (x + 6) = 5
solve both
x + 6 = 5 ( subtract 6 from both sides )
x = - 1
or
- (x + 6) = 5 , that is
- x - 6 = 5 ( add 6 to both sides )
- x = 11 ( multiply both sides by - 1 )
x = - 11
Help me! I’ll mark brainliest
Answer:
help me first,help me first
Step-by-step explanation:
Can someone help me!!!
9/d as a algebraic expression
Answer:
[tex]\frac{9}{d}[/tex]
or
9÷d
Hopefully this is what you're looking for.
Please help me!
[One Step Inequalities]
Answer:
C
Step-by-step explanation:
CAN YOU GUYS HELP ME PASS THIS PLS
Each letter of the word algebra is written on identical slips of paper and placed in a box of a slip of paper selected from the box without looking what is the probability that the slip of paper will not have the letter A on it.
Answer:
I have no idea sorry
Step-by-step explanation:
if its height is y, then what polynomial represents the length of a side of the square base
Answer:
Hello your question is incomplete attached below is the complete question
answer : 3y + 6cm
Step-by-step explanation:
attached below is the detailed solution to the given question
The polynomial that represents the side of the square base = 3y + 6cm
Paloma averaged a time of 2.3 minutes in each lap of a race. Marissa averaged 2.75 minutes in each lap. There were a total of 4 laps in the race. How many minutes ahead of Marissa did Paloma finish the race?
Poloma
2m30sec + 2m30sec + 2m30sec = 7m30sec
Marissa
2m75sec + 2m75sec + 2m75sec = 9m45sec
9m45sec - 7m30sec
Answer = 2m15sec
Find the values for x and y in rectangle SLIM.
Answer:
x = 25
y = 65
Step-by-step explanation:
(I did it on Math Nation)
180 = 130 + 2x
50 = 2x
x = 25
180 = 50 + 2y
130 = 2y
y = 65
Will mark you brainliest if i get the correct answer
Choose 4
I need the answer Asap!!
Due soon
Answer:
Corresponding angles
Alternate interior angles
Alternate exterior angles
Vertical angles
Step-by-step explanation:
Help quick pls! ill mark brainliest
Answer: 97
Step-by-step explanation:
The diagonal equals the square root of the width squared plus the height squared.
Answer: It would be 16
Step-by-step explanation:
What’s the surface area of a cylinder with a height of 6yd and width of 4yd
Who can answer this??
Ths question is not complete but I will try my best to guide you through it so you can answer it. So what the question is asking you to do is that you have to plug in the coordinates into the equation. I don't want to give you an incorrect answer so I will explain it and you can do it yourself with the full question. First use the second equation as it is a full equation with an equal sign. Once plugged in you can find that c and d do not make the second equation true. A and B both complete the second equation. This means that either A or B is the answer. Since the first equation does not have an equal sign meaning it is not complete I can not answer it and I am sorry. But I have cut the answer down for you to A and B. If this answer helped you in the slightest please check out my channel The Game Rater. Thank you and I appreciate it.
-The Game Rater(Nitroid444)