9514 1404 393
Answer:
12.0 cm
Step-by-step explanation:
The Pythagorean theorem applies:
(12 cm)² +b² = (17 cm)²
b² = (289 -144) cm² = 145 cm²
b = √145 cm ≈ 12.04 cm
b ≈ 12.0 cm . . . . rounded to 1 decimal place
The slope of the lawn and passing through the points (1,3) and (5,13)
Matilda wants to average sales in her café of $1400 per day. During the first 4 days of the week, her sales were $1289, $1498, $1327 and $1510. What does she need her sales for the 5th day of the week to meet her 5-day sales goal?
Answer
Matilda needs to sell 1376$ worth of coffee
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
Answer:
55
Step-by-step explanation:
If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.
the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
3 miles per minute; it represents the speed of the bird
b
0.2 mile per minute; it represents the speed of the bird
c
0.2 mile; it represents the original distance of the bird from its nest
d
3 miles; it represents the original distance of the bird from its nest
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation:
What is the greatest common factor of 9 and 12? 3 9 36 108
Answer:
The GCF would be 3
Step-by-step explanation:
You’re welcome :)
Answer:
1. A
Step-by-step explanation:
27 : 18 = 13 : x find x
Answer: 27:18 and 13:x can also be written as 27/18 and 13/x
therefore, 27:18 = 13:x
27/18 = 13/x
27/18 *13= x
x = 19.5
Hope it helped u,
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HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST
Answer:
top is independent, bottom is dependent
Step-by-step explanation:
top has only 1 answer, bottom has infinite answers
Lucia invests $5000 at a rate of 4.5% per year compound interest. Calculate the value of her investment at the end of 7 years.
The value of her investment at the end of 7 years is $11804
How to determine the value?The given parameters are
Principal, P = $5000
Rate, r = 4.5%
Time, t = 7 years
The value is then calculated as:
Value = P * P(1 + r)^t
So, we have:
Value = 5000 + 5000 * (1 + 4.5%)^7
Evaluate the expression
Value = 11804
Hence, the value of her investment at the end of 7 years is $11804
Read more about compound interest at:
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Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?
Answer:
time in years = 2.5 years
Step-by-step explanation:
time = interest / (principal amount x rate)
time = 750 / 5000 x 0.06
time = 750 / 300
time = 2.5 years
What is 2-10(7b-2) simplified
Answer:
-70b+22
Step-by-step explanation:
Simplify each term
apply the distributive property
2-10(7b)-10 *2
multiply 7 by -10
2-70b+-10*-2
multiply -10 by -2
2-70b+20
add 2 and 20
-70b+22
pls help:) i feel so guilty for asking questions
Answer:
Step-by-step explanation:
AB:
d = sqrt ( (−5−2)^2 + (−2−(−8))^2)
d = sqrt( (−7)^2 + (6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
BC:
d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
AC:
d = sqrt ( (−7−(2))^2+(3−(−8))^2 )
d = sqrt( (−9)^2 + (11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d = 14.21267
DE:
d = sqrt ( (−11−(-9))^2+(12−7)^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
EF:
d = sqrt ( (−2−(-11))^2+(1−12)^2 )
d = sqrt( (9)^2 + (-11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d =14.21267
DF:
d = sqrt ( (−2−(-9))^2+(1−7)^2 )
d = sqrt( (7)^2 + (-6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
Yes, the triangles are congruent because the lengths are the same.
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?
Answer:
58
Step-by-step explanation:
Answer:
$58
Step-by-step explanation:
In 2003, the average attendance per game for a football team was about (1 × 104) + (9 × 103) + (9 × 102). What is this number in standard form?
show work
Answer:
1.99 * 10^4
Step-by-step explanation:
Here, we want to write the addition in standard form
= (1 * 10^4) + (9 * 10^3) + (9 * 10^2)
= 10,000 + 9000 + 900
= 19,900
so the number in standard form is;
1.99 * 10^4
Which expression has a value of 40?
1. 240 divided by 60
2. 2400 divided by 6
3. 2400 divided by 60
4. 2400 divided by 600
2400 divided by 60 is equal to 40. The correct option is 3.
To find the expression that has a value of 40, to evaluate each expression:
1.
240 divided by 60:
Divide 240 by 60 is equal to 4.
So, this is incorrect option.
2.
2400 divided by 6:
Divide 2400 by 6 is equal to 400.
So, this is incorrect option.
3.
2400 divided by 60:
Divide 2400 by 60 is equal to 40.
So, this is correct option.
4.
2400 divided by 600:
Divide 2400 by 600 is equal to 4.
So, this is incorrect option.
Hence, out of the four expressions, the third one, 2400 divided by 60, has a value of 40. So the correct answer is 3 (2400 divided by 60).
Learn more about Divided here:
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the slope of (2,11) and (10,4)
Answer:
-7/8
Step-by-step explanation:
the formula for calculating slope for the given coordinates is:
(y2-y1)/(x2-x1)
so (2,11) = (x1,y1)
and (10,4) = (x2,y2)
then putting the values in the formula.
Find all real square roots of 25
Answer:
All real square roots of 25 is +5 and -5.
Step-by-step explanation:
When you square root something, you take the positive and negative of the number, so the square root of 25 would be 5 and -5.
When you do 5 times 5, you get 25 and when you do -5 times -5, you get 25 as well, this is why we do the negative as well.
#teamtrees #WAP (Water And Plant)
It is found that all the real square roots of 25 are 5 and -5.
How to find the closest integer less than and greater than the square root of a number?The function is strictly increasing function for x ≥ 0.
Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too Perfect square are those integers whose square root is an integer. Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).
When we do square root of something, we take the positive and negative of the number, so the square root of 25 would be 5 and -5.
When we do 5 times 5, we will get 25 and when we do -5 times -5, we will get 25 as well, this is why we do the negative as well.
Hence, all the real square roots of 25 are 5 and -5.
Learn more about square root here:
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4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
Answer:
Thank you and please rate me as brainliest as it will help me to level up
What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?
Answer:
(-4,7)
Step-by-step explanation:
(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)
help me plz asap now I just need answer question in pic
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
9^(x + 2) = 27
Can someone help solve
Answer:
x=-.5
Step-by-step explanation:
The measures of the angles of a triangle solve for X
Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
Translation of, “Six less than twice the value of x,”.
Answer:
2x-6
Step-by-step explanation:
It will take 20 points to make the playoffs, the Hockey Team coach told the players. "We get 2 points for a win and 1 point for a tie." Let be the number of wins and be the number of ties. Write an equation to describe the values of and that will let them make the playoffs.
Answer:
[tex]2x+y\geq 20[/tex]
Step-by-step explanation:
Given that total points required to make the playoffs = 20 points
As there is 2 points for a win,
so points earned for x win = 2x
Similarly, as there is 1 point for a tie.
so points earned for y ties = 1[tex]\times[/tex] y= y
Total points earned for x win and y ties = 2x+y
As the team makes the playoff so the total points of the team must be equal to or greater than 20 points (i.e the minimum points to make the playoff), so
[tex]2x+y\geq 20[/tex]
Hence, the required equation is [tex]2x+y\geq 20[/tex].
i need desperate help i dont care abt work
Answer:
75%
Step-by-step explanation:
add them together
somebody please help me what is 15 / 3 ×7/20
Answer:
1.75
Step-by-step explanation:
By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.
Then your equation would be: 5*7/20.
Again, you would just read it left to right, 5*7=35
Then divide by 20, which is 1.75.
Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
point: (5,-4)
Answer:
Step-by-step explanation:
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 6
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Answer:
its red okay? i hop help
Answer:3:1. Yellow
Step-by-step explanation: