Answer:
If the scale factor of corresponding sides is 1:2 then the hypotenuse if 50 units.
Step-by-step explanation:
The length of the hypotenuse of the larger triangle is 50 units.
What is the scale factor ?Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes.
For example, Two spheres look similar but could have different radii.
Let's denote the length of the hypotenuse of the smaller triangle as c, and the length of the hypotenuse of the larger triangle as C. Then we can write:
C/c = 2/1
Multiplying both sides by c, we get:
C = 2c
We can use the Pythagorean theorem to find the length of the hypotenuse c of the smaller triangle:
c² = 15² + 20²
c² = 225 + 400
c² = 625
c = 25
Substituting c = 25 in the equation above, we get:
C = 2(25)
C = 50
Therefore, the length of the hypotenuse of the larger triangle is 50 units.
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HELP please!!! ill give brainliest :)
Find the unit rate. Round to the nearest hundredth, if necessary.
$3.99 for 17 lb
The unit rate is
A recent survey suggests that 47% of all televisions are connected to the internet, 32% are voice controlled, and 22% are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?
0.15
0.47
0.69
0.79
The probability that a randomly selected voice-controlled television is also connected to the internet is 0.69.
Option C is correct.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
let P(V) is the probability of selecting a voice controlled television
and, P(I) is the probability that a selected television is connected to the internet.
So, the probability that a randomly selected voice-controlled television is also connected to the internet
P(I|V) = P(I ∩ V)/P(V)
P( I ∩ V) = 22%
P(V) = 32%
So, P(I|V) = 22%/32% = 0.6875
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Every two years, there is a local election in a small town. In 2015, a total of 29,000 voters turned out in the election. In 2017, the number of voters decreased by 16%. In 2019, the number of voters increased by 22%. How many voters turned out in the election for 2019?
Answer:
29719.2
Step-by-step explanation:
tricia made 56% on her science test. if she got 14 problems correct, how many questions were on the test
Solve. Express your answer as a simplified mixed number
5/6 divided by 3/10
Please help:)
1. In 2005, what type of on-the-job accident was associated with the highest number of
accidents per 100,00 Employees?
A. Falls
B. Electrical
C. Mechanical
D. Poisoning or Chemical Exposure
Answer:
It's the chemical because they have to work with dangerous stuff.
Find the product.
10(-7)
Answer:
-70
Step-by-step explanation:
If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.
Solve for q.
7(q + 7) = 5q + 59
Answer:
5.
Step-by-step explanation:
7(q + 7) = 5q + 59
7q + 49 = 5q + 59
7q - 5q = 59 - 49
2q = 10
q = 5.
(7х3 – 8х2 - 13х + 2) - (7x - 1)
Answer:
The answer is 7x^3 - 8x^2 - 20x + 3
Step-by-step explanation:
Simplify the expression.
Hoped this helped!
This is the graph of f(x). What is the value of f(2)?
101
-5
O A. 2
B. 6
C. 5
D. 9
Answer:
9
Step-by-step explanation:
We have been given a graph of a function and we are asked to find the value of our function at x equals 2.
To find the value of f(2), we will see what is the value of y when x is 2.
We can see from our given graph that at x equals 2 our function is at 9.
Someone help me I don’t know how to do this
Answer:
17 and 59
Step-by-step explanation:
90-75=17 first one
180-121=59 second one plz give me brainnessttttt pllzzzz
Hey there!
So the first angle is a complementary angle, meaning that two angles put together will equal 90 degrees. Since we already know that one angle is 75 degrees, all we need to do is 90-75 and we get 15 degrees, which is the value of the missing angle.
The second angle is a supplementary angle, which means two angles equal 180 degrees. Since we know that one angle is 121 degrees, we can take that and subtract is from 180 degrees to get 59 degrees, which is the value of the missing angle.
Remember:
A complementary angle is made of up TWO angles that add up to 90 degrees.
A supplementary angle is made up of TWO angles that add up to 180 degrees.
I hope this helped!!!
Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balance of $2,200. Using the formula I = P r t, how many years was his money invested? Work backwards-but find the Interest first!
Answer:
15 years
Step-by-step explanation:
Given data
P=$1,000
R=8%
A= $2200
I= A-P
I=2200-1000
I=$1200
Applying the formula
I=PRT/100
1200=1000*8*T/100
cross multiply
1200*100= 8000T
120000= 8000T
divide both sides by 8000
T=120000/8000
T=15 years
Hence the time is 15 years
i need help. can anybody help me
Answer:
positive 1/2
Step-by-step explanation:
Answer:
0.5
Step-by-step explanation:
3-2/0-2= 0.5
4p-2/4*2p+5/2*2/3
PLEASE SHOW THE WORKING
I WILL THANK WHOEVER ANSWERS ME AND MARK AS BRAINLIEST
Simplify the polynomials. Write your answer in standard form.
(x-4) (5x^2 + 3x-2)
Answer:
-2+4x+5x^2
Step-by-step explanation:
add together what can be added together
x and 3x
-4 and -2
and 5x^2 all by itself
Solve the following inequality algebraically. |x - 2| > 11
Answer:
SO HARD I CANT DO IT.
IM STILL 10 SORRY :(
Can someone show me the steps to solving this
(Rationalizing Denominator)
Answer:
[tex] \huge \purple {\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }[/tex]
Step-by-step Explanation:
[tex] \huge \frac{2 + \sqrt[3]{3} }{ \sqrt[3]{6} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } \times \frac{ \sqrt[3]{6} \times \sqrt[3]{6} }{\sqrt[3]{6} \times \sqrt[3]{6}} \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } \times \frac{ \sqrt[3]{6 ^{2} } }{\sqrt[3]{6^{2}} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )\sqrt[3]{6} }{ \sqrt[3]{6} \times \sqrt[3]{6 ^{2} }} \\ \\ = \huge \frac{(2 \sqrt[3]{6} + \sqrt[3]{3} \sqrt[3]{6} )}{ \sqrt[3]{6 ^{3} }} \\ \\ = \huge \orange{\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }[/tex]
A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?
Answer:
ima guess $262.50
Step-by-step explanation:
Help me, correct answers appreciated
Answer:
No
Step-by-step explanation:
-6 is X
-10 is Y
-10 is smaller than - 8
The "h" in the lateral area formula, L = Ph, stands for
Find the curved surface area of the spheres whose radius r = 3.5cm
Answer:
154 cm²Step-by-step explanation:
[tex]A=4\pi r^2\\\\r=3.5\,cm\\\\ A=4\pi(3.5)^2=49\pi=153.93804...\approx154\ cm^2[/tex]
x3 +y3 when x=3 and y=4
A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn
from the bag.
What is the approximate probability that exactly two of the five are blue?
O 1%
04%
O 36%
40%
Answer: The approximate probability that exactly two of the five are blue is 0.3641
Step-by-step explanation:
(0,5), (1,6), (2,9), and (3,14) are points on the graph of a function. Which of the following equations represents that function?
O A. g(x)= x2 + 5
O B. g(x)=522 +5
O C. g(x)= 3x2 +5
o D. g(x)= x + 5
Answer:
Step-by-step explanation:
It's with c or d I am confused with those two
f(x) = 2x and g(x) = x + 1, find f(3) and find gf(3)
Answer:
6 and 7
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x) , that is
f(3) = 2(3) = 6
To evaluate g(f(3)), substitute f(3) = 6 into g(x)
g(6) = 6 + 1 = 7
TV has a listed price of 623.98 if the sales tax rate is 8.5 find the total cost of the TV with the sales tax included
Answer:
$677.02
Step-by-step explanation:
623.98 increase 8.5% =
623.98 × (1 + 8.5%) = 623.98 × (1 + 0.085) = 677.0183
PLEASE HELP THIS IS URGENT !
Complete the table by squaring each negative x-value listed.
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
4, 9, 16, 25, 36, 49, 64, 81, 100, 121
a negative times a negative is a positive and squaring those numbers would be multiplying a negative by itself.
For example (-2)*(-2) is 4
**note, this only applies if the negative value is in the parentheses. (-2)^2 is different than -2^2 because with -2^2 only the 2 is getting squared and then you’d have to multiply the negative after**
x x3
-2 -2^3 = -2 • -2 • -2 = -8
-3 -3^3 = -3 • -3 • -3 = -27
-4 -4^3 = -4 • -4 • -4 = -64
-5 -5^3 = -5 • -5 • -5 = -125
-6 -6^3 = -6 • -6 • -6 = -216
-7 -7^3 = -7 • -7 • -7 = -343
-8 -8^3 = -8 • -8 • -8 = -512
-9 -9^3 = -9 • -9 • -9 = -729
-10 -10^3 = -10 • -10 • -10 = -1,000
-11 -11^3 = -11 • -11 • -11 = -1,331
Answer Straight From Edmentum/Brainly Hope it helps! :)
I'm very confused on this.
WILL GIVE BRAINLIEST AND 20 POINTS!
One side of a square room measures 24 ft. How many square yards of carpet are necessary to carpet the room? Hint: 1 yd2 = 9 ft2.
yd2
Answer:
64 square yards
Step-by-step explanation:
If the room is a square, then all sides of the room should be equal. To find the area of the room, we would need to multiply 2 adjacent sides of the room, meaning 24 x 24 = 576. Since we need yards of carpet, not feet, and we know that 1 square yard is 9 square feet, we divide our total area in feet by 9. This gives us 64sq yards of carpet