Answer:
b = 5√6
c = 10√5
Step-by-step explanation:
This is a 30-60-90 triangle
the hypotenuse is always twice the short leg
c = 2(5√2)
c = 10√5
The long leg is alway √3 times the short leg
b = √3(5√2)
b = 5√6
Teresa has $3.60 in quarters and nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickels is equal to what number?
9514 1404 393
Answer:
243
Step-by-step explanation:
Let q represent the number of quarters. Then (36-q) is the number of nickels. The total value of the coins is ...
0.25q + 0.05(36 -q) = 3.60
0.20q = 1.80 . . . . . . . . . . . . . simplify, subtract 1.80
q = 9 . . . . . . . . . . . . . . . divide by 0.20
36 -q = 36 -9 = 27 . . . . the number of nickels
The product of the number of quarters and the number of nickels is ...
(9)(27) = 243 . . . the product of interest
Write the function
F(x)= 5x^2+10x+16 in standard form
Answer:
[tex]f(x) = 5x^2 + 10x + 16[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x^2 + 10x + 16[/tex]
Required
Write in standard form
The standard form of a quadratic function is:
[tex]f(x) = ax^2 + bx + c[/tex]
This implies that: [tex]f(x) = 5x^2 + 10x + 16[/tex] is already in standard form
The set of all numbers on a number line are called?
Answer:
This second number line is called an integer number line, since integers are the set of numbers including all whole numbers and their negative opposites. Two opposite numbers are the same distance from zero on the number line, but on opposite sides. For example, 3 and -3 are opposites.
Step-by-step explanation:
I hope it's help u
Find the slope of the line to the right.
9514 1404 393
Answer:
-3/2
Step-by-step explanation:
Points are marked 2 units apart on the x-axis. Between a given point and the one to its right, the y-value changes by -3. The slope is ...
slope = rise/run = (change in y)/(change in x)
slope = -3/2
Can someone help me with this? Please and thank you!
Answer:
She should find the squares between 4.2 and 4.3
Step-by-step explanation:
The square of 4.2 was too low and the square for 4.3 was too high so the answer is between the two.
If it takes 8 people to build a shed in 6 days, how long will it take 12 people?
Answer:
Step-by-step explanation:You can dowly/3fcEdSxnload the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]
Answer:
4 days
Step-by-step explanation:
(8×6)/12 = 48/12 = 4
You have inherited land that was purchased for $25,000 in 1970. The value of the land has appreciated by
approximately 4% per year. What was the value of the land in the year 2000?
(a) Write the exponential function for this scenario:
(b) What was the value of the land in the year 2000? Round to the nearest whole dollar.
A. $750,000
B. $605,035,808
C. $81,084
D. $7,346
Answer:
Future value of land = 25,000[1.04]³⁰
Future value of land = $81,084 (Approx.)
Step-by-step explanation:
Given:
Purchase cost of land in 1970 = $25,000
Application rate = 4% per year
Find:
Price of land in 2000
Computation:
Number of year = 2000 - 1970 = 30 year
Future value of land = [Purchase cost of land][1+Application rate]ⁿ
F = P[1+r]ⁿ
Future value of land = 25,000[1+4%]³⁰
Future value of land = 25,000[1+0.04]³⁰
Future value of land = 25,000[1.04]³⁰
Future value of land = 25,000[3.24339]
Future value of land = 81,084.75
Future value of land = $81,084 (Approx.)
9(w+9)=___w+____
plsss answer
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]9w + 81[/tex]
»»————- ★ ————-««
Here’s why:
We are given the expression of:
[tex]9(w+9)[/tex]
To simplify this, we would have to use the distributive property.
⸻⸻⸻⸻
[tex]\boxed{\text{Distributive Property}}\\\\a(b+c)=ab+ac\\\\\text{A, B, and C are real numbers.}[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the expression given:}}\\\\9(w+9)\\-------\\\rightarrow9(w+9)\\-------\\\text{Distribute 9 into 'w+9'.}\\\\9 * w=9w\\\\9*9=81\\\\------\\\text{Therefore:}\\\\9(w+9)=\boxed{9w+81}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
0.009 divided by 0.001
Answer:
9
Step-by-step explanation:
0.001 · 9 = 0.009
Volume of Prisms and Cylinders
a. 339.12 cu. in.
b. 113.04 cu. in
c. 226.08 cu. in.
d. 1356.48 cu. in
Please select the best answer from choices provided
Answer:
A. 339.12 cu. in.
Step-by-step explanation:
I calculated it logically
The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 144 residents whose mean number of pounds of trash generated per person per week was 34.5 pounds and the standard deviation was 7.9 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a
Answer:
32.966 ; 36.034)
Step-by-step explanation:
Given :
Sample size , n = 144
Mean, x = 34.5
Standard deviation = 7.9
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/√n
Zcritical at 98% = 2.33
Margin of Error = 2.33 * 7.9/√144 = 1.534
Lower boundary = 34.5 - 1.534 = 32.966
Upper boundary = 34.5 + 1.534 = 36.034
(32.966 ; 36.034)
please help lolz ty besties
What is the name of this poligon?
A. Rhombus
B. trapezoid
C. rectangle
D. Square
Answer:
the correct answer is A. Rhombus
The answer is D (Square)
Because the sides of a square are equal.
The living room in a new house has the dimensions shown. What is the volume of the room?
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
what would be the value of y in the equation 2y + 7 = 7
y=0
Schools almost out, good luck!!
A teacher buys 2 boxes of glue sticks . Each box has 8 glue sticks . She puts all the glue sticks in 4 baskets . Each basket has the same number of glue sticks. How many glue sticks are there in each basket ?
Answer:
4
Step-by-step explanation:
2x8=16
16 divided by 4 = 4
Similar Triangles
You are visiting the Unisphere at Flushing Meadow Park in New York. To estimate the height of the stainless steel model of Earth, you place a mirror on the ground and stand where you can see the top of the model in the mirror. The Unisphere is 100 feet from the mirror and you are standing 4 feet from the mirror. If your height is 5.6 feet, what is the estimated height of the Unisphere? The diagram is not drawn to scale.
a. 140 feet
b. 22.4 feet
c. 2,240 feet
d. 71 feet
Please select the best answer from the choices provided
Answer:
A. 140 feet
Step-by-step explanation:
I calculated it logically
On the interval 0° < 0 < 380°, how many values of 0 satisfy the equation 2 cos0 + cos 0 - 1 = 0?
Answer:b
Step-by-step explanation:
Topic Test
Find the surface area of a rectangular prism.
a. 2468 sq. ft.
b. 6240 sq. ft.
c. 1234 sq. ft.
d. 1844 sq. ft.
Please select the best answer from choices provided
Answer:
A. 2468 sq. ft.
Step-by-step explanation:
I calculated it logically
find the value of x.
Can someone help me please?
Answer:
d
Step-by-step explanation:
linear function
Please Help! 100 Points to whoever does!
Answer:
cross multiply
(3+2) 10^3==
5*10^3
hhhhhhhhelpp meeeeeee
Answer:
with what?
Step-by-step explanation:
What is the exact value of tan 75 degrees
Answer: 56?
Step-by-step explanation:
Pls answer ASAP!! If you could give an explanation that would be awesome!!!
Answer:
D, u selected the right one
Step-by-step explanation:
A: asking the teachers who have cafeteria duty won't help you find out why students don't want to buy lunch.
B: the students that are already waiting in line for lunch won't help you find out why student don't want to buy lunch either because they are buying the lunch.
C: Asking all the teachers won't help because you want to know why students don't buy lunch
D: Asking students in the school will help because the students will be able to tell you exactly why THEY don't buy lunch.
any one got reddit
mine is u/RealAd8482
I use to have reddit sorry
Answer:
Yes
Step-by-step explanation:
Mines is u/Brown_Bear17
Multiply 3 1/3 x 1 1/7
write the answer in simplest form.
5 -3 over 2 x > 1 over 3
Answer:
It's true because 5-3/2 is grater than 1/3
The probability that a battery will last 10 hours or more is 80%, but the probability that a battery will last 15 hours or more is only 15%. What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more
Answer:
0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Lasting 10 hours or more.
Event B: Lasting 15 hours or more.
The probability that a battery will last 10 hours or more is 80%.
This means that [tex]P(A) = 0.8[/tex]
Probability of lasting 10 hours or more and 15 hours or more.
This is the probability of lasting 15 hours or more(if it has lasted 15 or more, it has lasted 10 or more).
The probability that a battery will last 15 hours or more is only 15%, which means that [tex]P(A \cap B) = 0.15[/tex]
What is the probability that a battery will last 15 hours or more given that it has lasted 10 hours or more?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.8} = 0.1875[/tex]
0.1875 = 18.75% probability that a battery will last 15 hours or more given that it has lasted 10 hours or more.
Mr. Assan had 492 tickets left after the movie. He started with 2,009 tickets. How many tickets did Mr. Assan sell?
Answer:
1,517
Step-by-step explanation:
2,009 - 492 = 1,517