Answer:
That distance is 6.4
Step-by-step explanation:
The legs of the triangle form a right angle. The bottom leg has length 8 - 3, or 5, and the vertical leg -3 - (-7), or 4. Applying the Pythagorean Theorem:
(vertical leg)^2 + (horizontal leg)^2 = (hypotenuse)^2, which here is
4^2 + 5^2 = (hypotenuse)^2
This works out to 16 + 25, or 41.
The distance between these two points is d = √41, or d = 6.4
Please solve this quickly.
How would you write the following expression as a sum or difference?
Answer:
B
Step-by-step explanation:
Look at the expression inside the log( ). Work from the outside in, so to speak. First, there's a quotient (the cube root divided by 3x).
[tex]\log \left( \frac{\sqrt[3]{2-x}}{3x} \right) = \log\left(\sqrt[3]{2-x}}\right) - \log{3x}[/tex]
The cube root can be written using a rational exponent.
[tex]\log\left(\sqrt[3]{2-x}}\right) - \log{3x} = \log \left( (2-x)^{1/3} \right) - \log{3x}[/tex]
Use the exponent property to move the exponent 1/3 out.
[tex]\log (2-x)^{1/3} - \log{3x} = \frac{1}{3} \log{(2-x)} - \log{3x}[/tex]
This now matches answer choice B.
Find two consecutive odd integers such that thrice the smaller is 92 more than the larger
Nonsense Answer = Report
Innocent Answer but no Answer = Report
Answer with Solution = Heart, 5 Star, and Brainliest
Answer:
A = 47
B = 49
Step-by-step explanation:
Let the two consecutive odd integers be A and B
We know that B = A + 2, and that A is odd.
We are also told that
3A - 92= B
Use this last expression for B in the first equation:
B = A + 2
3A - 92 = A + 2
2A = 94
A = 47
B must therefore be 47 + 2 = 49
Check:
1) A + 2 = B? YES
2) 3A - 92= B?
3*47 - 92 = 49?
141 - 92 = 49 YES
3) Are they both odd consecutive integers? YES
A = 47
B = 49
What is the value of the function Y equals 2X plus 3 When x equals -1
Answer:
1
Step-by-step explanation:
Y=2x+3
Y=2×(-1)+3
Y=1
PLEASE HELP IM GONNA CRY LOL
An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
Answer:
x = 33°
Step-by-step explanation:
x = angle
a complement of an angle =(90-x)
x = (90-x) - 24
x = 90 - x - 24
x = 66 -x
2x = 66
x = 33
the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction
Answer:
Side length = 4.80 cm
Step-by-step explanation:
Given the perimeter of an equilateral triangle, 14.4 cm:
An equilateral triangle has three congruent sides.
Since a triangle has three sides, and the sum of those sides represent the perimeter. We can assume that each side of the triangle represents a third (⅓) of the perimeter.Perimeter of an equilateral triangle = side + side + side = 3(side)
Perimeter = 14.4 cm
[tex]\displaystyle\mathsf{side=\frac{14.4\:cm}{3}=4.80\:cm}[/tex]
Therefore, the length of each side of an equilateral triangle is: 4.80 cm.
john is cutting wood planks. He has a 3 foot plank. he needs to cut them in 3/8 length pieces. How many pieces will he have?
Answer:
he will have 3 pieces
Step-by-step explanation:
3/8×8
=3
Mark me BRAINLIESTThe floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11. 8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet.
Answer:he correct answers are 10.9 feet and 392.4 square feet.
Step-by-Step explanation:
Answer:
Apothem is 10.9 feet
Area of the gazebo is 392.4 feet
Step-by-step explanation:
Edge
Can someone pls help me pls!
Answer:
refer to the picture attached for steps
A farmer harvests 850kg of parsnips.30% go to the local market and 50% go to a local supermarket.What mass of parsnips are left?
Answer:
170 kg. of parsnips are left
Step-by-step explanation:
Given:
850 kg. of parsnips
30 % to the local market
50 % to a local supermarket
Solution:
First, add the two percentages.
30 + 50 = 80%
That means 80 % of parsnips mass go to the markets.
Now let's find the mass of delivered parsnips.
Change 80% to decimal form.
80% = 0.8
Now multiply it by 850 kg.
850 x 0.8 = 680
The delivered parsnips mass is 680 kg.
Now to find the mass of parsnips left, subtract 680 to 850
850 - 680 = 170 kg.
170kg. of parsnips are left.
If triangle he an area of 36 and a height of 12 calculate the length of the base.
Answer:
Below.
Step-by-step explanation:
A = 1/2bh for a triangle.
36 = 1/2b(12)
36 = 6b
---- ----
6 6
b = 6
Savannah is deciding between two parking garages. Garage A charges an initial fee of $9 to park plus $1.50 per hour. Garage B charges an initial fee of $4 to park plus $2.50 per hour. Let A A represent the amount Garage A would charge if Savannah parks for t t hours, and let B B represent the amount Garage B would charge if Savannah parks for t t hours. Graph each function and determine which garage would be cheaper if Savannah needs to park for 6 hours.
Answer:
A = 10 + 3t
B = 3 + 4t
if t = 12 , then A = 10 + 3(12) = $46, B = 3 + 4(12) = $51.
So Garage A is cheaper for 12 hours
Step-by-step explanation:
hope this helped!
2x+3y=15
x+y=6
work out the values of x and y.
Answer:
Step-by-step explanation:
Elimination sounds the easiest for y:
[tex]I - 2II: 2x+3y -2x -2y = 15-12 \rightarrow y= 3[/tex]
Now we got one value, let's replace in one of the two and find the second
[tex]II: x+(3)=6 \rightarrow x=3[/tex]
Answer:
[tex]2x + 3y = 15...(1) \\ x + y = 6...(2) \\ 2 \times (2) \\ 2x + 2y = 12...(3) \\ (1) - (3) \\ 0 + 3y - 2y = 15 - 12 \\ \color{red} \boxed{ y = 3 }\\ sub \: in \: (2) \\ x + 3 = 6 \rightarrow \: x = 6 - 3 \\ \color{green} \boxed{ x = 3 }[/tex]
Today, Ravi burned 1005.7 calories while exercising. Yesterday, he burned 138 calories. How many more calories did Ravi burn today than yesterday?
Answer:
Ravi burned 867.7 more calories today than he did yesterday.
Step-by-step explanation:
To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.
To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.
what are all the square numbers that are greater than 10 but less then 40
Answer:
16, 25, 36
Step-by-step explanation:
4^2 = 165^2 = 256^2 = 36Which variable expression represents the following word phrase?
one-half the sum of a number and three
Answer:
The correct choice should be B.
Tell me if I'm wrong.
find the measure of angle 1 and angle 2. justify your answer
Answer:
∠ 1 = 95° , ∠ 2 = 130°
Step-by-step explanation:
∠ 1 = 95° ( alternate angles )
∠ 2 and 50° are same- side interior angles and sum to 180°
∠ 2 + 50° = 180° ( subtract 50° from both sides )
∠ 2 = 130° ( same- side interior angle )
{(3,5),(-2,1),(4,3),(-1,4)} is each of these relation's a function?
Answer:
It is not a function.
Step-by-step explanation:
{(3,5),(-2,1),(4,3),(-1,4)}
A function is a special type of relation. In a function, no two ordered pairs have the same first component.
This relation has two 4s.
At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.
Step-by-step explanation:
168/3 = 56
so 112 sodas
56 hotdogs
Which one of the quotients is correct?
Answer:
B
Step-by-step explanation:
B is correct 24r11 one ................
If 'r' represents remainder then the correct answer is option A. The quotient is 24 & the remainder is 13.
Steps are in the attachment.
____
RainbowSalt2222 ☔
Please help me with both problems I’ll mark as brainliest!!!
Answer:
7. x = 9
9. x=7
3 (x-1)=3x-×-3-3+x+3
True or false
true
Step-by-step explanation:
Answer:
3x-3
Step-by-step explanation:
So false if you Multiply
help . This is rise and run .
Answer:
Rise 4 and runs -10
Step-by-step explanation:
So the slope is 4/-10
PLEASE HELPPP RUNNING OUT OF TIMMEE
Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.
Shop A) 1.25kg for £4.85
Shop B) 250g for £0.88
Step-by-step explanation:
come on !
250g = 0.250kg = 0.25kg
now compare 1.25 kg with 0.25kg.
how many times of 0.25 is 1.25 ?
it is the same as 25 to 125.
5 times (4 times 25 is 100, and then one more time).
so, you need to multiply also the price by 5 to get the price per 1.25kg.
so, 0.88×5 = £4.40 = 440 pence per 1.25kg.
Please help!!!!!!!!!!!!!!!! Find the scale factor for the side lengths
Answer:
Scale factor is 1/4
Step-by-step explanation:
You can easily calculate the scale factor of anything by dividing the new length by the old one. Then just simplify if necessary.
TS is 8, and T'S' is 2, so:
[tex]\frac{2}{8}=\frac{1}{4}[/tex]
edit: fixed fraction
Given $P(10,12)$ and $Q(20,36)$, find the coordinates of a point whose distance from both $P$ and $Q$ is exactly $13.$
The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
The distance between points, P and Q can be evaluated by the Pythagoras theorem as follows;
Distance, PQ = √(20-10)² + (36-12)²PQ = √(100+576)PQ = √676PQ = 26.Therefore, a point whose distance from both P and Q is exactly 13 is the midpoint of PQ.
Therefore,
x = (20 + 10)/2x = 15y = (36 + 12)/2y = 24.The coordinate of a point whose distance from both P and Q is exactly 13 is; (15, 24)
Read more:
https://brainly.com/question/18049211
The University of Washington Huskies tried throwing one of the longest Hail Marys in history—about 73 yards! For this pass, the ball's height over time was modeled by the function h(t) = -16t2 + 64t + 6, where was the height in feet and was the time in seconds. a) How long does it take for the football to reach its maximum height? b) What is its maximum height? c) How long will the football be in the air? It takes a good college football player about 8 seconds to run 73 yards. If the quarterback waited 4 seconds after the snap, does the receiver have a chance of catching the ball?
Answer:
See belowStep-by-step explanation:
Given function:
h(t) = -16t² + 64t + 6a)
The maximum height is the vertex. The x-coordinate of the vertex is -b/2a:
t = - 64/2*(-16) = 2It takes 2 seconds
b)
Maximum height is at vertex:
h(2) = -16(2²) + 64(2) + 6 = 70 ydc)
The ball is in the air between zero's of the equation or approximately double the time it reaches the vertex:
2*2 = 4 secondsThe receiver doesn't have a chance to catch the ball, since the ball is only 4 seconds in the air.
If the scale is
2
inches
=
4
feet, what are the actual side lengths of the garden?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
B. No, because it is not a straight line.
C. Yes, because it is a curved line.
D. Yes, because it passes the vertical line test.
Answer:
A. No, because it fails the vertical line test.
Step-by-step explanation:
A because is dosent pass the vertical line test
f(x)={x+4….
for f(x)
Answer:
3f=5
Step-by-step explanation:
f(x) = x+4
3f=4x
x<5
5<_x<7
7<_x<_10