Answer:
volume of a pyramid is Length×Base×Height/3 (divided by 3)
Answer:
The volume of the pyramid is easy
Step-by-step explanation:
Peg rode her bike for 1 \text{ kilometer}1 kilometer1, start text, space, k, i, l, o, m, e, t, e, r, end text before stopping. Lauren rode for 602 \text{ meters}602 meters602, start text, space, m, e, t, e, r, s, end text before stopping.
How many meters farther did Peg ride than Lauren?
Answer:
2x45+67
fffftheStep-by-step explanation:
Answer:398 not 2x45+67
What happens to the parabola when a<1 compared to the parent function?
Answer: The parabola is wider than the parent function
Step-by-step explanation:
If "a" is a fraction less than one, then the parabola becomes wider.
See graph (attached)
Q2) Find the unit cost for the following items.
a) 200 mL cream for $2.99 ($ per mL)
b) 450 g packet of chips for $3.8 ( $ per g)
Unit cost = total price / total amount.
A) 2.99 / 200 = $0.01495 per ml
B) 3.80 / 450 = $0.00844 per g
Round the answers as needed.
PLEASE HELP ME WITH PRE CAL!!
A drone is flying over a college campus. The drone spots the cafeteria on the west end of campus at a 27 ° angle of depression and the sports complex on the east end of campus at a 34° angle of depression. If the cafeteria and sports complex are separated by a straight road 2.3 mi long, how high is the drone?
Answer:
0.67 mi
Step-by-step explanation:
The diagram illustrating the question is shown in the attach photo.
In triangle DCA,
Opposite = H
Adjacent = b
Angel θ = 27°
Tan θ = Opp /Adj
Tan 27° = H/b
Cross multiply
H = b x Tan 27°... (1)
From triangle DSA,
The diagram illustrating the question is shown in attach photo.
In triangle DCA,
Opposite = H
Adjacent = 2.3 – b
Angel θ = 34°
Tan θ = Opp /Adj
Tan 34° = H/ 2.3 – b
Cross multiply
H = Tan 34° (2.3 – b) .. (2)
Equating equation (1) and (2)
b x Tan 27° = Tan 34° (2.3 – b)
0.5095b = 0.6745(2.3 – b)
0.5095b = 1.55135 – 0.6745b
Collect like terms
0.5095b + 0.6745b = 1.55135
1.184b = 1.55135
Divide both side by 1.184
b = 1.55135/1.184
b = 1.31 mi
Substitute the value of b into any of the equation to obtain the height (H). In this case we shall use equation 1.
H = b x Tan 27°
H = 1.31 x Tan 27°
H = 0.67 mi
Therefore, the height of the drone is 0.67 mi
The height of the drone is 0.67 mi
The calculation is as follows:In triangle DCA,
Opposite = H
Adjacent = b
Angel θ = 27°
Tan θ = [tex]Opp \div Adj[/tex]
Tan 27° =[tex]H\div b[/tex]
Now we have to do the cross multiply
[tex]H = b \times Tan 27^{\circ}... (1)[/tex]
Now
From triangle DSA,
In triangle DCA,
Opposite = H
Adjacent = 2.3 – b
Angel θ = 34°
Tan θ = [tex]Opp \div Adj[/tex]
Tan 34° = [tex]H\div 2.3 - b[/tex]
Now we have to do the cross multiply
H = Tan 34° (2.3 – b) .. (2)
Now
Equating equation (1) and (2)
[tex]b \times Tan 27^{\circ} = Tan 34^{\circ} (2.3 - b)[/tex]
0.5095b = 0.6745(2.3 – b)
0.5095b = 1.55135 – 0.6745b
Now
0.5095b + 0.6745b = 1.55135
1.184b = 1.55135
b = 1.31 mi
Now
[tex]H = b \times Tan 27^{\circ}\\\\H = 1.31 \times Tan 27^{\circ}[/tex]
H = 0.67 mi
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The band will play for 60 minutes. If the members want to play 5 equal length, how many seconds will each song have to be?
Answer:
12
Step-by-step explanation:
Each song should be 12 minute long.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The band will play for 60 minutes.
If they want to play 5 songs in a duration of 60 minutes, we have to divide the total amount of minutes by how many songs they have to play.
Using the formula,
Total Duration / Total Songs = Duration Per Song
60 / 5 = 12
Therefore, Each song should be 12 minute long.
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b) Sanjit reads 3 books in 1 week.
Express as a unit rate and explain
We can write this as:
3 books / 1 week
This tells us that Sanjit reads 3 books per week.
Let's say he read for 3 weeks, we would multiply to find the number of books he read.
3 * 3 = 9 books
So, Sanjit can read 3 books in 1 week.
Best of Luck!
Answer:
3 books/1 week
Step-by-step explanation:
3 books
------------
1 week
A bag of marbpes contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marbpe. What is the probability of reaching into the bag and selecting a yellow marble
Answer:
1/6 or 1.6666666
Step-by-step explanation:
12 marbles, 2 yellow
12/2= 6
1/6
mark has a friend named Chole how different are marks and chole DNA ?
Answer:
0.01 %
Step-by-step explanation:
The local zoo welcomed a newborn African elephant that weighed 34 kg. It is expected that at adulthood, the newborn elephant will weigh approximately 34 times as much as its birth weight. What expression represents the expected adult weight of the newborn elephant? Explain why the Product of Powers Property makes mathematical sense.
Answer:
3/4-3/4=3/4+3/4
=3/8
Step-by-step explanation:
The expression that represents the weight of the elephant in adulthood is w = 34².
What is the product of power property?According to the Product of Powers Property, you can add the exponents and maintain the base when multiplying two exponents with the same base.
Given that, the weight of a newborn elephant baby is 34 kg.
The weight of the elephant will be 34 times as much as its birth weight in adulthood, therefore, the weight of the elephant in adulthood is:
w = 34×34
w = 34²
Hence, the product of power property makes mathematical sense, that a×a=a².
The expression that represents the weight of the elephant in adulthood is w = 34².
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A swimming pool is in the shape of a right rectangular prism. The base of the pool has an area of 216 square feet. When the pool is completely filled, it holds 1,944 cubic feet of water. What is the depth of the water when the pool is completely full?
Answer:
Just divide
1944/216=9
9 feet deep
Hope this helps
Step-by-step explanation:
Jessi has 9 feet of blue fabric. She need one third of that amount in red fabric. The fabric store sells fabric by the yard. How much fabric does Jessie need to buy?
Answer:
1 yard
Step-by-step explanation:
Let b represent the amount of blue fabric and r represent the amount of red fabric.
Given;
Jessi has 9 feet of blue fabric
b = 9 ft
She need one third of that amount in red fabric.
r = 1/3 × b
Substituting the value of b;
The amount of red fabric needed r is;
r = 1/3 × 9 = 3 ft
Since they sell in yards , we need to convert it to yards.
1 yard = 3 feets
Therefore,
r = 3 ft × 1/3 yard per ft
r = 1 yard
Solve for a side in right triangles can someone please answer please
Answer:5.03
Step-by-step explanation:
The price of one share of a company declined $3.50 per day for 4 days in a row. What is the overall change in the price of one share? You may find using a number line to be helpful.
The overall change in the price of one share is
dollars.
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
5 yd
11 yd
9 yd
17 yd
answer:
8417yd
Step-by-step explanation:
Solve
8- (2x - 9) = 17 - 2x
Nchey
Answer: Infinite solutions
Step-by-step explanation:
[tex]8-(2x-9)=17-2x[/tex]
Begin by distributing the negative into the parenthesis.
[tex]8-2x+9=17-2x[/tex]
Combine like terms;
[tex]17-2x=17-2x[/tex]
Subtract 17
[tex]-2x=17-17-2x[/tex]
[tex]-2x=-2x[/tex]
Add 2x
[tex]-2x+2x=0\\0=0[/tex]
Equation: 8 - (2x - 9) = 17 - 2x
First, we distribute the - sign.
8 -2x + 9 = 17 - 2x
Then, we combine like terms if there any on both sides.
17 - 2x = 17 - 2x
Now, we can see the equations are equal to each other.
However, we can go a step further and solve for x.
17 - 2x = 17 - 2x
Subtract 17 from both sides.
-2x = -2x
Divide both sides by -2.
x = x
Therefore, x has no value or is 0.
pls help asappp you will get brainliest
Answer:
32 units.
Step-by-step explanation:
look up a picture of a 306090 triangle, it will make sense :)
Answer:
32
Step-by-step explanation:
cos 30 = [tex]\frac{\sqrt{3} }{2}[/tex]
[tex]\frac{\sqrt{3} }{2}[/tex] = 16[tex]\sqrt{3}[/tex] / n
n = 16[tex]\sqrt{3}[/tex] * [tex]\frac{2}\sqrt{3} }[/tex]
n = 32 units
There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.
Answer:
Step-by-step explanation:
The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5
The four probability is basic probability, compound event, independent and dependent event and the probability line.
I hope it'll help you much
Thank you for asking
When graphing an equation in slope-intercept form, what is the first step.
Answer:
show the a pic
Step-by-step explanation:
Emma great grandparents lived in a log cabin with their 3 children. The log cabin had a floor area of 450 square feet. The ceiling is only 7 feet hight. What is the volumr of the log cabin
Answer:
The volume is 3150ft³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, cuboid
Given data
Area =450 ft²
Height h =7ft
We know that the volume of a cuboid
Volume = length x width x height
Volume =lbh
Volume = area x height
Volume = 450*7= 3150ft³
I NEED HELP NOOOOOWWWW!!!!!!!!
Answer: [tex]1590cm^3[/tex]
Step-by-step explanation:
[tex]V=\frac{3\sqrt{3} }{2}a^2h[/tex]
a = base
h = height
[tex]V=\frac{3\sqrt{3} }{2}(6cm)^2(17cm)[/tex]
Solve the parentheses squared first.
[tex]V=\frac{3\sqrt{3} }{2}(36cm^2)(17cm)[/tex]
2 and 36 can be simplied
2/2=1
36/2=18
[tex]V=3\sqrt{3}(18cm^2)(17cm)[/tex]
[tex]V=3\sqrt{3}(306cm^3)\\ V=1590.02cm^3[/tex]
Rounded to the nearest whole number... [tex]1590cm^3[/tex]
I need this answer please tell me the answer
Answer:
less than
[tex]1 \frac{1}{2} [/tex]
I believe
A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a 6-pack of juice cans? Tell the steps you used to calculate your response. *
Answer:
It was a cylinder shape
volume of cylinder is
= \pi {r}^{2} h
Radius of the can
=6.6÷2
=3.3
Volume of 6 can
6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)
Answer
2484.11
Step-by-step explanation:
Help me answer this question pls
I believe it's a scalene triangle.
We could mark that ME = d, where d= diamater.
For segment TE, we can tell it is different length then all of the other lines.
Now, would MT be equivalent to ME in length? No. I can tell that segment MT is a tiny bit shorter than ME.
Why? If we look at line TE, we can tell that it is not perfectly horizontal; it is slanted to the left. By logic, we can deduce that because the left slant brings T ever so closely to M, there is a shorter distance between M and T than M and E.
If none of the sides are the same length, the triangle is scalene.
If you are able, I'd really appreciate a rating, or if you have questions, I'd be happy to answer.
a rectangle has an area of 24m². its length is 5m longer than the width.
write an expression for the rectangle's length
Answer:
2x+2(x+5)) = 24
Step-by-step explanation:
2x+ 2(x+5) = 24
x is represented by the shorter side. Multiply by 2 because of the 2 sides. For the longer side, since it is 5m longer than the shorter side, you have to write (x+5). Multiply by 2 because of the 2 sides. Finally, add them both together since it is the area and set it equal to 24.
Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?
Answer:Perimeter, 50ft
Step-by-step explanation:since it is around the answer is 50 ft
Identify the measure of arc HD◠.
The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
We have,
In the given figure, we have a circle with points P, K, L, H, and D on it. Secant RL and secant KH intersect inside the circle, forming an angle with a measure of 92 degrees.
Secant DR and secant LR intersect outside the circle at point R, forming an angle DRL with a measure of 38 degrees.
The intercepted arc closest to angle DRL has a measure of 18 degrees.
Since secant RL intersects the circle at some point, we can consider the arc between that point and point K.
The measure of this arc is given as 102 degrees.
Therefore,
The measure of arc HD, which represents the arc between points H and D, is also 102 degrees.
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11(4t + 1) what is the answer
Answer:
44t + 11
Step-by-step explanation:
11(4t + 1)
Distribute 11 amongst the values inside the parenthesis
11(4t) + 11(1)
Multiply
44t + 11
Hope this helps :)
Answer:
[tex]44t + 11[/tex]
Step-by-step explanation:
[tex]11(4t + 1) \\ = 44t + 11[/tex]
the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers
Step-by-step explanation:
The three numbers are 23 25 and 27
23 + 25 + 27 = 75
The smallest number is 23
I am giving 25 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?
Answer:
[tex]\frac{7}{16}[/tex]
Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.
So, since the total is 16, this will be the denominator, and the 7 will be the numerator.
So, it will be [tex]\frac{7}{16}[/tex]
6x^2-x-26 x 2 − x − 2
(2x-3)
(2x-1)
(2x+1)
(3x+2)
Answer:
3x+2
Step-by-step explanation:
i had a test with the same question, i promise its right :)
