Answer:
D: The area of the base.
Step-by-step explanation:
The volume of a triangular based pyramid is represented by the formula given that the question as:
V = 1/3BH
where B = Base area of the triangular based pyramid
H = Height of the triangular based pyramid.
Hence, option D is correct
B = The area of the base.
DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is
Answer:
x = - 1, y = 2, z = 1
Step-by-step explanation:
Given the 3 equations
2x - y + 3z = - 1 → (1)
x + 2y - 4z = - 1 → (2)
y - 2z = 0 → (3)
Add (1) and (3) term by term
2x + z = - 1 → (4)
Multiply (1) by 2
4x - 2y + 6z = - 2 → (5)
Add (2) and (5) term by term
5x + 2z = - 3 → (6)
Multiply (4) by - 2
- 4x - 2z = 2 → (7)
Add (6) and (7) term by term
x = - 1
Substitute x = - 1 into (4)
- 2 + z = - 1 ( add 2 to both sides )
z = 1
Substitute x = - 1, z = 1 into (2)
- 1 + 2y - 4 = - 1
- 5 + 2y = - 1 ( add 5 to both sides )
2y = 4 ( divide both sides by 2 )
y = 2
solution is (x, y, z ) = (- 1, 2, 1 )
( HELP PLEASE <3)
a person riding in an elevator travels 150 feet in 30 seconds. What equation represents this relationship? How many feet will the person travel on 10 seconds?
A.) y=5x;5 feet
B.) y=3x;30 feet
C.) y= 1/5x;2 feet
D.) y=5x;50 feet
Answer:
The answer is A
Step-by-step explanation:
If you divided by 150/30 = 5.
So the answer is A. y=5x;5 feet.
what’s the slope of the line?
Answer:
(0,0)
Step-by-step explanation:
How much force is needed to accelerate a 70 kg skier at 2 m/sec2?
Force = mass x acceleration
Force = 70 kg x 2 m/s^2
Force = 140 N
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
30
20
M
16
a.
16 24
8
15
30
20
b
16
24
4
-
20
30
5
C
16
20
24
30 3به ایا امه
d.
15
30
16
20
24
< Previous Activity
Answer: its d
Step-by-step explanation:
In each diagram, MBC has been transformed to yield AIC Which transformation could not be achieved by rotation alone?
Which of the following describes a rate?
1. A volleyball team won 8 out of 12 games.
2. Anisa gets paid $12 per hour
3. Bradley's class has 8 boys and 14 girls.
4. A restaurant has 5 waiters for every 10 tables.
Answer:
2. Anisa gets paid $12 per hour describes a rate.
Step-by-step explanation:
A rate is something that says (something) per (something.) For example, the cheetah ran 240 miles per minute is considered a rate.
Rates usually end with one, since they say that (something) every 1 (minute, hour, etc.) whether it's a place or thing.
Hope this helps! :)
I want to know what is the formula for an endpoint with the midpoint of a line segement.
Answer:
Did u actually need the answer or is this another c.hat?
Step-by-step explanation:
Can someone solve these by elimination?
Answer:
x=1 and y=2 for number 4
Step-by-step explanation:
What is the solution of -8≤-2x≤6
a) -4<x<3
b) -4≤x≤3
c) -4≥x≥3
d) -3≤x≤4
Pretty sure the answer is D :)
factor completely 4x⁸+12x⁷-16x⁶-48x⁵
3x– 2y = -3
y = 7 - 4x
Resolver por sustitución
Answer:
y= 3/2x+3/2 btw add these and that is your answer then y=-4
Step-by-step explanation:
rewrite the expression below in exponential form
log2 ^0.125=-3
Answer: 2^-3 = 0.125
Step-by-step explanation:
Just took a test over it :)
I need help with this. This is a test so please answer is correctly!!!
Answer:
4 batches
Step-by-step explanation:
just took the quiz can i have Brainliest pls
Answer:
4 batches
Step-by-step explanation:
Which of the following quadrilaterals are similar?
Answer:
I believe its the last one
Answer:
the last one.
Step-by-step explanation:
what is the area if b=16mm and h=12mm
Answer: 96
Step-by-step explanation: the formula for area of a triangle is 1/2 (b)(h)
so 1/2 (16)(12)
= 96
Some one help ASAP it’s already 2am I want sleep please help I give crowns
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: What is the solution to the equation [tex]\frac{1}{2}x + 3 = \frac{2}{3}x + 1?[/tex]
Step 1: Simplify [tex]\frac{1}{2}x[/tex] to [tex]\frac{x}{2}[/tex].
[tex]\frac{x}{2} + 3 = \frac{2}{3}x + 1[/tex]
Step 2: Simplify [tex]\frac{2}{3}x[/tex] to [tex]\frac{2x}{3}[/tex].
[tex]\frac{x}{2} + 3 = \frac{2x}{3} + 1[/tex]
Step 3: Multiply both sides by [tex]6[/tex] (LCM of [tex]2, 3[/tex]).
[tex]3x + 18 = 4x + 6[/tex]
Step 4: Subtract [tex]3x[/tex] from both sides.
[tex]18 = 4x + 6 - 3x[/tex]
Step 5: Simplify [tex]4x + 6 - 3x[/tex] to [tex]x + 6[/tex].
[tex]18 = x + 6[/tex]
Step 6: Subtract [tex]6[/tex] from both sides.
[tex]18 - 6 = x[/tex]
Step 7: Simplify [tex]18 - 6[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 8: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
A= 12.8m
B=13.9m
C=12m
D= 7m
Answer:
C: 12m
Step-by-step explanation:
We can solve this by using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex]
For this triangle
a= x b= 5 c= 13
We now have the equation
[tex]x^{2} + 5^{2} =13^{2}[/tex]
If we simplify this we get
[tex]x^{2} + 25 = 169[/tex]
Next, we subtract 25 from both sides
[tex]x^{2} = 144[/tex]
Finally, if we take the square root of both sides of the equation, we find that
x= 12
Lucius and Angelina's teacher gave them a system of linear equations to solve. They each took a few steps that led to the systems shown in the table below.
Answer:
both
Step-by-step explanation:
Luc and Ang both just didn't simply one of there equations, otherwise it is equal
can someone solve -15 = - 7a - 4 - 4a
and m - 4m = -6
and 8v - 3 + 3v = 8
STEP BY STEP PLEASE.
Answer:
A=1, m=2, v=1
Step-by-step explanation:
A.
[tex]-15=-7a-4-4a\\\\-15+4=-11a-4+4\\\\-11=-11a\\\\a=1[/tex]
B.
[tex]m-4m=-6\\\\\\-3m=-6\\\\\\3m=6\\\\m=2[/tex]
C.
[tex]8v-3+3v=8\\\\11v-3=8\\\\11v-3+3=8+3\\\\11v=11\\\\v=1[/tex]
For A, I first subtracted -4 from -7 as their variables are the same. I cannot subtract integers from variables. Then, I added 4 on both sides to move the integer on the left side. (This would also remove the -4 on the right side because -4+4=0) Then I divided -11 by both sides to get 1a or a.
For B, I subtracted -4 from 1 as their variables are the same. This time, since they are both negative numbers, I can make them both positive. So, just divide 3 by both sides as we want to get 1m.
For C, Add 3 to 8 as v is their variable. Then, I added 3 to both sides because we want to get the variable on one side. Divide by 11 and you will get v=1.
Solve for x.
(x + 13) ft
24 ft
Answer:
x = 9.
Step-by-step explanation:
If you meant (x + 13) = 24, then we first must subtract 24 by 13.
24 - 13 = 9
Now, check your work by replacing the "x" with 9.
(9+ 13) = 24
24 = 24 <----- This is a true statement.
Therefore, x = 9.
Hope this helps! :D
2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.
Answer: 15.44 m
Step-by-step explanation:
We can think this as two triangle rectangles.
In both cases, the adjacent cathetus is 120m.
When the angle is 32°, the opposite cathetus will be the height of the cliff.
When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.
Then we need to compute both of them and calculate the difference.
We can use the trigonometric relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
in this case we have:
Tan(32°) = (height of the cliff)/(120m)
Tan(32°)*120m = height of the cliff = 74.98m
Now we can use the other angle to compute:
Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m
Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m
Then the height of the flagpole will be:
H = 90.42m - 74.98m = 15.44 m
Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in packages of 10 boxes and sauce is sold in packages of 2 jars, what is the least number of dinners that Manny can make without any supplies leftover?
Answer:
10 dinners
Step-by-step explanation:
We solve using the Least Common Multiple Method.
We are told:
Pasta is sold in packages of 10 boxes Sauce is sold in packages of 2 jars.
We find the Multiples of 2 and 10
Multiples of 2:
2, 4, 6, 8, 10, 12, 14
Multiples of 10:
10, 20, 30
Therefore,
LCM(2, 10) = 10
The least number of dinners that Manny can make without any supplies leftover is 10 dinners
Evolution requires at molecules and atoms
assemble themselves into what order
Answer:
Evolution requires at molecules and atoms assemble themselves into increasing order
Tony wants to buy a new iPad mini for his birthday. A brand new iPad mini has a regular price
of $399. If Tony buys the iPad today, he will receive 20% off the original price. Find the
discount and the sale price of the iPad mini.
Answer:
319.20
Step-by-step explanation:
399×20%=79.8
399 - 79.8= 319.20
help me quys plz, which one is it
I’ll mark you brainlist I’ll mark you brainlist
Answer:
-2
Step-by-step explanation:
:)
Question 3 of 8 Which of the symbols correctly relates the two numbers below? Check all that apply. 19 ? 20
A.=/
B. =
C. <_
D. >_
E. >
F. <
Answer:
a and d
Step-by-step explanation:
it has a ratio comparison
A circular region has a population of about 250,000 people and a population density of about 125 people per square mile. Find the radius of the
region. Round your answer to the nearest hundredth.
The radius of the region is about
miles
Answer:
2.5 km
Step-by-step explanation:
solve the system of equations
y=-2/3x+1 and x+y=4
Answer:
Point form: (9,-5)
Step-by-step explanation:
y=-2/3x+1 and x+y=4
Point form: (9,-5)
Equation form: x = 9, y = -5