The diagram shows a pyramid with a rectangular base. The volume of the pyramid is 108cm^3.
What is the length of the base edge labeled x?
1. 2cm
2. 6cm
3. 18cm
4. 30cm
Answer:
Solution given:
Volume of pyramid=108cm³
area of base*height=108cm²
6*x*3=108
x=108/18
x=6
option2:6cm
You can write the equation of the line if you have two points on the line.
Is that true or false?
Which equation describes the circle
with center (5,-1) and radius 7?
A (x - 5)' + (y +1)* = 7
B (x - 5)* + (y + 1)* = 49
(x + 5) * + (y - 1) = 7
D(x + 5)' + (y - 1)' = 49
Answer:
B. (x-5)²+(y+1)² = 49
Step-by-step explanation:
An equation of a circle with center (h, k) and radius r is
[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]
We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7
Substitute these values in
[tex] \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }[/tex]
So the answer is B choice.
∆ABC is isosceles with legs AB and AC. If AC = 6 cm, and the perimeter is 15 cm, calculate m∠B.
Answer:
m∠B = 75.5°
Step-by-step explanation:
Since AC = 6, then AB = 6 and BC = 15-6-6 = 3
The altitude from A bisects side BC. Let the point of intersection of the altitude and BC be point D. Then BD = 1.5
Cos B = 1.5/6
m∠B = arcccos (1.5/6)
m∠B = 75.5°
-3b-75=0 I need 2 solutions
Answer:
-25
Step-by-step explanation:
-3b-75=0
+75 +75
-3b=75
/-3 /-3
b=-25
There isn't 2 solutions
---
hope it helps
The equation of the trend line is y = -0.36x + 12.6 use the equation to of the trend line to predict the wind chill for a wind speed of 51 mi/h round your answer to the nearest degree. The wind chill at 51 mi/h
Given:
The equation of the trend line is:
[tex]y=-0.36x+12.6[/tex]
In this equation y represents the wind chill and x represents the wind speed.
To find:
The wind chill at 51 mi/h.
Solution:
We have,
[tex]y=-0.36x+12.6[/tex]
Putting [tex]x=51[/tex], we get
[tex]y=-0.36(51)+12.6[/tex]
[tex]y=-18.36+12.6[/tex]
[tex]y=-5.76[/tex]
Round the answer to the nearest degree.
[tex]y\approx -6^\circ[/tex]
Therefore, the wind chill at wind speed 51 mi/h is -6°.
What two consecutive numbers make 81
Answer:
40 and 41.
Step-by-step explanation:
81/2 = 40.5, thus 40 and 41
Calculate the surface area of this cylinder. Use 3.14 for the value of pi.
Answer:
1884.96 cm squared
how is 4(x+3) equal to 12+4x
Answer:
When distributed, 4(x+3) = 12+4x
A spinner is spun 77 times and stops on the color green 17 times. Calculate the experimental probability of the spinner stopping on the color green.
Answer:
[tex]\boxed {\boxed {\sf \ \frac {17}{77}}}}[/tex]
Step-by-step explanation:
The experimental probability is the probability of an event occurring in an experiment that was conducted. It is the ratio of the times an event occurred to the total trials.
[tex]P(event)= \frac{ number \ of times \ event \ occurs} {total \ number \ of \ trials}[/tex]
We are trying to find the experimental probability of landing on green.
The spinner was spun 77 times. This is the total number of trials. The spinner landed on green 17 times. This is the event.[tex]P(green)= \frac{17}{77}[/tex]
This fraction cannot be simplified any further, so the experimental probability of landing on the color green is 17/77
please help, and please don't spam this answer if not I will report u thank u very much
Answer: 240.6cm *squared*
Step-by-step explanation:
Surface Area= (2 x Area of 1st face) + (2 x Area of 2nd face) + (2 x Area of 3rd face)
= (2 x 10.5cm x 5.4 cm) + (2 x 10.5 cm x 4.0cm) + (2 x 5.4cm x 4.0cm)
= 113.4cm*squared* + 84.0cm *squared* + 43.2cm *squared*
= 240.6cm *squared*
OR
= 2 x (sum of the 3 faces)
= 2 x (56.7cm * squared* + 42.0cm *squared* + 21.6cm *squared*)
= 2 x 120.3cm *squared*
= 240.6cm *squared*
Simplify:
- 5 1/4 -( -7 1/2)
Answer:
-5 1/4-(-7 1/2 is simplified to 9/4
Step-by-step explanation:
-5 1/4 is simplified to -21/4 -(-7 1/2
-7 1/2 is simplified to -15/2 and two negatives make a positive.
so the equation now becomes
-21/4+15/2
15/2 times 2 is 30/4
-21/4+30/4 is 9/4
The answer is 9/4
What is the equation of the trend line in the scatter plot?
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients
as integers, proper fractions, or improper fractions in simplest form.
Answer:
y = 5/8x + 9
Hope this helps!
Quadrilaterals ABCD and WXY Z are congruent.
B
A
X
Z
Which of the following sequences of transformations maps WXY Z onto ABCD
6
For a movie scene, a stuntman will slide down a wire that is connected from the top of a building to the ground. The wire,
the side of the building, and the ground can be represented as the sides of a right triangle, as shown in the figure below.
Building
600
Wire
70 feet
x feet
The height of the building where the wire is attached is 70 feet. Based on the angle measure in the figure, which of the
following is closest to the value of x?
A-140.0
B-70.0
C-121.2
D-40.4
Answer:
my best guess would be B for sure
If F(x) = 4(x-8) + 2, what is the value of F(2)?
Someone please help will mark as brainliest
Answer: the answer is C.
Jello someone please help me
No links or files please
Answer:
3. 43 4. 84 5. 522
Step-by-step explanation:
A game you want is on sale for 15%off. If the regular price is $50.00, how much will you save? And what will the total sale price be?
Answer:
you will save 7.50 dollars.
Step-by-step explanation:
the sale price will be 42.50 dollars plus tax, if you need to include the tax.
Help please Thank you!!!!!
Answer:
B
Step-by-step explanation:
B because the graph doesn't show a liner line
but im not really sure nout it tho
All together Maria and Nick had $12. After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount. How much money did Nick have to begin with?
Answer:
$4.5
Step-by-step explanation:
Let the amount of money
Maria had = x
Nick had = y
All together Maria and Nick had $12.
= x + y = 12
x = 12 - y
After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.
30% of x = 50% of y
30/100 × x = 50/100 × y
0.3x = 0.5y
We substitute 12 - y for x above
0.3(12 - y) = 0.5y
3.6 - 0.3y = 0.5y
3.6 = 0.5y + 0.3y
3.6 = 0.8y
y = 3.6/0.8
y = $4.5
Therefore, in the beginning, Nick originally had $4.5
Find the length of the boldest arc. Rounded answer to the nearest hundredth (use 3.14 for pie)
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answer:
Step-by-step explanation:
Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.
2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.
2,1,4,3,6,5,8,___
plz answer this question and solve
Answer:
2,1,4,3,6,5,8,7
Step-by-step explanation:
Given:
2,1,4,3,6,5,8,___
Pairing the sequence in twos
2,1
4,3
6,5
It can be seen that each pair of the sequence is arranged in descending order (from highest to lowest)
1, 2 is written as 2,1
3, 4 is written as 4,3
5, 6 is written as 6, 5
Then the next two numbers
7, 8 will be written as 8,7
2,1,4,3,6,5,8,7
hi! please help i’ll give brainliest
Answer:
A, the keyword deciduous means wearing away and erosion means fading away. The two are common so therefore your answer is A.
State whether each situation is best represented by an exponential
or linear function. Then write an exponential or linear function for
the model and state whether the model is increasing or decreasing.
Enrollment at a school is initially 454 students and grows by 3% per year.
19
G
A salesperson initially earns $50,434 dollars per year and receives a yearly raise
of $675.
(3)
A customer borrows $450 at 5% interest compounded annually.
A wildlife park has 35 zebras and sends 1 zebra to another wildlife park each year.
The value of a house is $546,768 and decreases by 3% each year.
6.
The population of a town is 66,666 people and decreases by 160 people each year.
A business has a total income of $236,000 and revenues go up by 6.4% per year.
Answer: it's a linear function
The linear function is. S(t) = 50,434 + 675t
The function is increasing
Step-by-step explanation:
I just said this question and I got it right
Please I need help with the question now PLEASE HELP
5. Marina lives in a 2-bedroom condominium overlooking a lake. Her expenses are as follows.
•The bi-weekly mortgage and property taxes are $718.
•The condo fees are $525 per month.
•The electricity bill averages $320 bi-monthly.
•The quarterly water bill averages $210.
a) Calculate Marina’s fixed monthly expenses for housing.
b) Calculate Marina’s average monthly expenses for utilities.
c) What is her average total monthly cost for housing?
Answer:
a) $1961
b) $710
c) $2671
Step-by-step explanation:
Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month
Condo fees: $525/month
Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month
Water bill is quarterly, so 210/3 months. 210/3 = $70/month
a) housing expenses = mortgage, taxes, condo fees
1436 + 525 = $1961
b) utilities = electricity and water
640 + 70 = $710
c) all expenses listed
1961 + 710 = $2671
The price of Stock A at 9 A.M. was $14.83. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $15.33. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answer:
0.5 hoursStep-by-step explanation:
Let the x be the number of hours after noon.
We have the following equation:
14.83 + 0.12(x + 3) = 15.33 - 0.15x 14.83 + 0.12x + 0.36 = 15.33 - 0.15x0.12x + 0.15x = 15.33 - 15.190.27x = 0.14x = 0.14/0.27x ≈ 0.5If sin 0 = 1/2, find the degree measure of 0.
Answer:
30°
Step-by-step explanation:
[tex] \sin \theta = \frac{1}{2} \\ \\ \sin \theta = \sin 30\degree \\ \\ \theta = 30 \degree[/tex]
don bought the bookshelf for 42 dollars this was 3/4 of the regular price
Answer:
Regular Price = $56
Step-by-step explanation:
3/4 x = 42
42/3 * 4 = x
14 * 4 = 56
x - 56
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K