If the perimeter of a triangle is 31 ft and two of the side lengths are 15 ft and 10 ft, what is the length of the third side?
A.16ft
B.25ft
C.6ft
D.56ft
Answer:
C) 6 ft
Step-by-step explanation:
Perimeter is just adding the side lengths together so...
31-15-10=x
6=x
so your answer is 6ft
Which one should I choose?
Answer:
∠ 1 = 58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
117° is an exterior angle of the triangle, then
∠ 1 + 59° = 117° ( subtract 59° from both sides )
∠ 1 = 58°
Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
Pyramid A
[tex]s = 4[/tex] -- base sides
[tex]V = 36[/tex] -- Volume
Pyramid B
[tex]s = 6[/tex] --- base sides
Required
Determine the volume of pyramid B [Missing from the question]
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
[tex]V = \frac{1}{3} * B * h[/tex]
Where B represents the area of the base equilateral triangle, and it is calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]
[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 4\sqrt 3[/tex]
The height is calculated from:
[tex]V = \frac{1}{3} * B * h[/tex]
This gives:
[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]
Make h the subject
[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]
[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]
[tex]h = \frac{27}{\sqrt 3}[/tex]
To calculate the volume of pyramid B, we make use of:
[tex]V = \frac{1}{3} * B * h[/tex]
Since the heights of both pyramids are the same, we can make use of:
[tex]h = \frac{27}{\sqrt 3}[/tex]
The base area B, is then calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where
[tex]s = 6[/tex]
So:
[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 9\sqrt 3[/tex]
So:
[tex]V = \frac{1}{3} * B * h[/tex]
Where
[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9 * 27[/tex]
[tex]V = 81[/tex]
Answer:
81
Step-by-step explanation:
For which value of is the following number undefined
x - 3 / x + 4
Answer:4x - 2 = 3x + 1
Step-by-step explanation: shooooooooo papi
Answer:
x = - 4
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that x cannot be, that is
x + 4 = 0 ⇒ x = - 4
Thus x = - 4 is the excluded value
Help me with this problem please:)
If AABC = APQR, then
AB =
Help please
Answer:
PQ should be the answer
Step-by-step explanation:
Please, multiply the following Algebric sum.........
3ab+2bc, 5bc
Answer: The required product of two given algebraic expressions =15abc +10b²c²
Step-by-step explanation:
Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc
i.e. The required product = (3a+2bc) x (5bc)
= 3a x 5bc + 2bc x 5bc [Using right distributive property: (a+b)c= ac+bc]
= (3x 5) abc + (2 x 5) (bc)²
= 15abc +10b²c²
Therefore, the required product of two given algebraic expressions = 15abc +10b²c²
What is the measure of an angle that is 3/6 of a circle?
Answer:
180 degrees
Step-by-step explanation:
A whole circle is 360 degrees and 3/6 of that (or 1/2) is 180 degrees. I hope this helps!
The formula t=\sqrt((h)/(16))represents the time t in seconds that it takes an object to fall from a heigh of h feet. A coin is dropped from a height of 75 feet. To the nearest second, how long did it take the coin to fall?
Answer:
We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.
LINKS WILL BE REPORTED ALONG WITH NONSENSE ANSWERS THANK YOU
Please help me with this, I understand how to do the first equation but not the second (the one where it says he sold more accessories than phone commissions) Brainliest will be given!
what's ur ig bestie? it's making me write it longer so hihihi
Look at the given figure. If the triangles are congruent, give the theorem. If not, select not congruent.
a) SSA
b) SSS
c) SAS
d) Not Congruent
Answer:
SSS.
Step-by-step explanation:
The 3 sides are congruent . The ones that are marked and the middle line which is common to both triangles.
In how many ways can a group of 9 persons arrange themselves around a circular table?
Answer:
20,160 ways
Step-by-step explanation:
9x8x7x6x5x4x3x2x1=9
Please help I can’t fail
Answer:
B
Step-by-step explanation:
line b is the closest to all the points on the graph
Which scatterplot shows a linear association?
Answer:
C
Step-by-step explanation:
Oliver found a list of the number of roller coasters at each amusement park in the state. 11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?
Answer:
29.5
Step-by-step explanation:
Order from least to greatest
11, 17, 17, 19, 28, 31, 40, 44, 45, 49
Then find the middle number which is 28 and 31 so add the two numbers
28 + 31 = 59
then
59 divided by 2 = 29.5
In a team of 24 players, about 80% of the team was on the honor roll last quarter. How many students were on the honor roll?
Answer:
19
Step-by-step explanation:
24 * 80% = 24*0.8 = 24* 8/10 = 24*4/5 = 96/5 = 19.2
round down becuase 0.2, or 20% of a person can not earn honor roll without suffering catastrophic organ failure.
Find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year. P = $3,500 r= 5% t = 10 k = 4
A = ?
Answer:
To the nearest cent, the accumulated amount over the 10 years is $5,752.67
Step-by-step explanation:
Here, we want to use the given formula to find the accumulated amount on the deposit/investment
we have this as follows;
A = P(1 + r/k)^kt
P is the amount invested which is the principal = $3,500
r is the interest rate = 5% = 5/100 = 0.05
k is the number of times interest is compounded yearly = 4
t is the number of years = 10
Substituting these values in the formula, we have;
A = 3500(1 + 0.05/4)^(4 * 10)
A = 3500 (1 + 0.0125)^40
A = 3500(1.0125)^40
A = $5,752.67
The Americans with disabilities act sets a maximum angle for a wheelchair ramp entering a business at 4.76 degrees. Determine the horizontal distance needed to accommodate a ramp that goes up to a door.
Answer:
Step-by-step explanation:
tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.
d=h/tanα, we are given that h=4ft and α=4.76° so
d=4/tan4.76° ft
d≈48.04 ft (to nearest hundredth of a foot)
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A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in
your answer.)
0
ft
ft?
ft
18
х
?
24 ft
Answer:
Area = 559.17 sq ft
Step-by-step explanation:
Area (rectangle) = 18 x 24 = 432
Area (semi-circle = πr²÷2 = 81π/2 = 127.17
Please help me I have 10 minutes no scams I’m in 7th grade
Answer:
The answer is 37
Step-by-step explanation:
180- 143= 37
please help me it due soon
Answer:
Tyler is correct
Step-by-step explanation:
ALL OF THEM MAKE A PLUS AND B AND D HAVE BEEN INCREASED IN SIZE BUT THE PROPORTION IS STILL THE SAME AS A
Write 3.5 • 4 using words
Answer:
I dont understand if you wanted the answer or just the equation, so I did both.
Three-point five times four
Three-point five times four equals fourteen.
Fourteen
Hope that helps!
If it did, plz mark brainiest, im trying to level up :3
Have a great day!
10 = g - 19. Please help!!!
Answer: g = 29
10 = g - 19
add 19 to both sides:
29 = g
flip if u want
g = 29
hope this helped :)
Solve for x to the nearest 10th.
410 = 1080(0.915)^x
Answer:
410/1080=(0.915)^x
0.379=(0.915)^x
ln0. 379/ln0.915=x
X=10.903
III Question 4 of 10 ( point) Question Attempt: 1 of Unlimited Susan makes house calls. For each, she is paid a base amount and makes additional money for each hour she works, The graph below shows her pay in dollars) versus the number of hours worked. Use the graph to answer the questions.
Answer:
a) $30
b) 30
Step-by-step explanation:
a) Her starting pay is $60. After an hour it goes up to $90. 90-60=30.
b) Every hour, the pay goes up 30. Slope is calculated as the change in y divided by the change in x. That means 30/1, or just 30 is the slope.
hiroshi earns $6.50 an hour. He wants to buy a cd player that costs $117. Write an equation and find how many hours hiroshi will have to work to buy the cd player.
a person earns $18,200 one year and gets a 5% raise in salary what is the new salary
Answer:
$19,110
Step-by-step explanation:
18,200 x 1.05 = 19,110
Simplify the quotient
7^8 / 7^3
Answer:
D) 7⁵
Step-by-step explanation:
1) Use Quotient rule: x^a/x^b = x^a-b.
[tex] {7}^{8 - 3} [/tex]
2) Simplify 8 - 3 to 5.
[tex] {7}^{5} [/tex]
3) Simplify.
[tex]16807[/tex]
The answer is option D. 7⁵.
Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood. She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond. Why is this sample likely to be biased?
A.
Alex sent a questionnaire by email instead of going door to door.
B.
Alex sent the questionnaire only to those who live near her.
C.
Not everyone who got the questionnaire responded.
D.
Those who got the questionnaire may not have responded on time.
Answer:
The answer is B
This is because if we know that Alex sent the questionnaire only to those who live near her, we can infer that this is biased.
Answer:
B: Alex sent the questionnaire only to those who live near her
Step-by-step explanation:
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I need help with this i don’t understand this
Answer:
13.<CAF = 145
14.<ABC = 50
15.<KCJ = 95
16.<ABG = 130
17.<BCJ = 85
18.<CAB = 35
19.<x =60
20.<y =120
21.<z = 133
22.<w = 47
23.<m = 128
24.<p = 52
Step-by-step explanation:
It just looking at the vertically opposite angle to find the exact angle.
Ex. <CAF = <BAD