Answer: 14s - 7s/2 = 84
Step-by-step explanation:
Given that s is the length of the unknown side:
Area of the shaded region = 84
Area of rectangle - Area of triangle = 84
Area of rectangle = L * W
= 14 * s
= 14s
Area of triangle = ¹/₂ * base * height
= ¹/₂ * 14 * s/2
= 7s/2
Area of shaded region:
14s - 7s/2 = 84
Solving for s:
14s - 7s/2 = 84
28s - 7s = 168
21s = 168
s = 168/21
s = 8 inches
34.23 times one year is ....
Answer:
410.76
Step-by-step explanation:
34.23 * 12= 410.76
1 year = 12 months
In ΔOPQ, o = 4.4 inches, p = 9.6 inches and ∠Q=89°. Find the length of q, to the nearest 10th of an inch.
Answer: 10.49026 = 10.5
Step-by-step explanation:
The length of the side q of the triangle OPQ is 10.5 inches.
What is cosine law?The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.
Given that, in a triangle OPQ, O = 4.4 inches, p = 9.6 inches and ∠Q=89°, we need to find the measurement of side q,
So, using cosine law for triangles,
q² = p²+o²-2poCos(89°)
= 4.4²+9.6²-2(4.4)(9.6)Cos(89°)
= 10.5
Hence, the length of the side q of the triangle OPQ is 10.5 inches.
Learn more about cosine law, click;
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Pleas help me with this F(x)=3x-x Find F(10)
Answer:
f(10) = 20
Step-by-step explanation:
Since the x is defined, you can plug it in, x=10.
Substitute the x with 10, f(10) = 3(10)-10.
Then, simply the equation, f(10) = 20.
12 m
15 m
8 m
5 m
5 m
45 because 12+15+8+5+5=45
cindy bought a new jacket. Jill bought a jacket that costs 3 times as much as Cindy. Altogether their jackets cost 300$. What equation can be used to represent the problem and how much was each of their jackets?
Answer:
x + 3x = $400
the jacket cost price of Cindy nd Jill is $100 and $300 respectively
Step-by-step explanation:
The computation is shown below:
Here we assume the cindy be x
So the Jill be 3x
Now the equation is
x + 3x = $400
4x = $400
x = $100
So the Cindy jacket cost is $100
And, the Jill jacket cost would be
= 3x
= 3(100)
= $300
Hence, the jacket cost price of Cindy nd Jill is $100 and $300 respectively
I NEED HELP WITH ALL 4 I WILL GIVE BRAINLIEST
Answer 1 8.40 precent 2 23.4% 3 16% 4 f 10%
Step-by-step explanation:
if you help me ilysm
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero.
To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation \displaystyle y=3x - 1y=3x−1.
To find the x-intercept, set \displaystyle y=0y=0.
y
=
3
x
−
1
0
=
3
x
−
1
1
=
3
x
1
3
=
x
(
1
3
,
0
)
x
-intercept
To find the y-intercept, set \displaystyle x=0x=0.
y
=
3
x
−
1
y
=
3
(
0
)
−
1
y
=
−
1
(
0
,
−
1
)
y
-intercept
We can confirm that our results make sense by observing a graph of the equation as in Figure 10. Notice that the graph crosses the axes where we predicted it would.
This is an image of a line graph on an x, y coordinate plane. The x and y-axis range from negative 4 to 4. The function y = 3x – 1 is plotted on the coordinate plane
Figure 12
HOW TO: GIVEN AN EQUATION, FIND THE INTERCEPTS.
Find the x-intercept by setting \displaystyle y=0y=0 and solving for \displaystyle xx.
Find the y-intercept by setting \displaystyle x=0x=0 and solving for \displaystyle yy.
EXAMPLE 4: FINDING THE INTERCEPTS OF THE GIVEN EQUATION
Find the intercepts of the equation \displaystyle y=-3x - 4y=−3x−4. Then sketch the graph using only the intercepts.
SOLUTION
Set \displaystyle y=0y=0 to find the x-intercept.
y
=
−
3
x
−
4
0
=
−
3
x
−
4
4
=
−
3
x
−
4
3
=
x
(
−
4
3
,
0
)
x
-intercept
Set \displaystyle x=0x=0 to find the y-intercept.
y
=
−
3
x
−
4
y
=
−
3
(
0
)
−
4
y
=
−
4
(
0
,
−
4
)
y
-intercept
Plot both points, and draw a line passing through them as in Figure 11.
This is an image of a line graph on an x, y coordinate plane. The x-axis ranges from negative 5 to 5. The y-axis ranges from negative 6 to 3. The line passes through the points (-4/3, 0) and (0, -4).
Figure 13
Answer:
x-intercept
Step-by-step explanation:
The x-intercept is the point on the line that crosses the x-axis, shown in the graph in the picture.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Quinn likes to knit hats and mittens for friends and family. Last fall, she knitted 4 hats and 3 pairs of mittens, which took a total of 56 hours. This fall, she knitted 3 hats and 1 pair of mittens, which took a total of 27 hours. If each hat and each pair of mittens takes the same amount of time to knit, how long does it take Quinn to knit a hat and a pair of mittens?
Answer:
hats = 5
mittens = 12
Step-by-step explanation:
hats = h
mittens = m
Uknown:
- How many hours per hats
- How many hours per mittens
Known:
- How many hours in total
- How many pairs of mittens made
- How many pairs of hats made
4h + 3m = 56
3h + 1m = 27
3h + m = 27
m = -3h + 27
4h + 3m = 56
4h + 3(-3h + 27) = 56
4h - 9h + 81 = 56
-5h = 56 - 81
-5h = -25
-5h/5 = -25/5
-h = -5
-h/-1 = -5/-1
h = 5
3h + m = 27
3(5) + m = 27
15 + m = 27
m = 27 - 15
m = 12
Check: h = 5, m = 12
4h + 3m = 56
3h + 1m = 27
4h + 3m = 56
4(5) + 3(12) = 56
20 + 36 = 56
56 = 56
3h + 1m = 27
3(5) + (12) = 27
15 + 12 = 27
27 = 27
what is 829.085 rounded to the nearest hundredth
Answer:
829.09
Step-by-step explanation:
Hope this helps :)
Ayudame por favor
Help me please
The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?
Answer:
0.4016%
Step-by-step explanation:
Estimated Value = 3,500 people , Exact attendance = 3486 people
We can see that there is a Percentage decrease . So we will apply the formula.
%Decrease = Old Value - New Value /Old Value × 100%
%decrease = 14/3486 %
%Decrease = 0.4016% (Answer)
There’s a drawing and I don’t know how to explain it on it
pleaze help
Plot the ordered pair in a coordinate plane. Describe the location of the point. 32. A(1,3)
33. B(0, -3)
34. C(-4,-2)
35. D(-1 1/4, 2)
and explain it if u can
Answer:
Well, there are 4 quadratic spots on the graph. A(1,3) would be in the top right. B(0,-3) would be on the line on the bottom half of the graph. C(-4,-2) would be in the left bottom half of the graph. and D(-11/4,2) would be in the top right. Connect the dots and just say the shape it makes.
Step-by-step explanation:
Which graph represents the function y = 2x - 2?
4TY
1y
1y
2
2
2
-2
- 2
-2
-2
-2
o
o
Answer:
The third graph
Step-by-step explanation:
The third graph is the only graph that could represent the equation because it is the only graph where the line goes through the y-intercept, -2. It is also positive, like the equation says the slope should be.
The number of miles, x, that a cross country athlete can run is represented by the inequality
x+3<15
What conclusion can be made about the number of miles?
Answer:
That the number of miles is going to be less than 15
Step-by-step explanation:
If you wanted to solve the inequality then the answer would be x<12
Can you please give me brainliest
What is the equation of the line in slope-intercept form
Answer:
y = -3/5x - 2
Sonya had 20 dollars to spend on 3 gifts. She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B. How much money did she have left for gift C?
Answer:
6 19/20 dollars
Step-by-step explanation:
Sonya had 20 dollars to spend on 3 gifts.
She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.
Gift A + Gift B + Gift C = $20
Gift C = $20 - (Gift A + Gift B)
Gift A = $8 1/4
Gift B = $4 4/5
Hence:
The amount she had left for gift C is :
Gift C = $20 - ($8 1/4 + $ 4 4/5)
Gift C = $20 - $13 1/20
Gift C = $ 6 19/20
It takes 2/23 sacks of sugar to fill a canister. Each sack contains 3/4 pound of sugar. What expression can be used to solve for the number of pounds of sugar it takes to fill the canister?
Given:
1 canister = [tex]\dfrac{2}{23}[/tex] sacks of sugar
1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.
To find:
The expression that can be used to solve for the number of pounds of sugar it takes to fill the canister?
Solution:
We have,
1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.
So,
[tex]\dfrac{2}{23}[/tex] sack = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.
1 canister = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.
1 canister = [tex]\dfrac{3}{46}[/tex] pounds of sugar.
Therefore, the expression [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] is used to solve for the number of pounds of sugar it takes to fill the canister.
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club? One-third One-half Two-thirds StartFraction 3 Over 1 EndFraction
Answer:
1:3
Step-by-step explanation:
Given that,
Total no. of boys = 5
Total no. of girls = 10
We need to find the ratio of the number of boys in the club to the total number of students in the club.
Total no. of students = no. of girls + no. of boys
= 5 +10
= 15
Ratio,
[tex]R=\dfrac{5}{15}\\\\=\dfrac{1}{3}[/tex]
Hence, the required ratio is 1/3 or one third.
Answer:
1/3
Step-by-step explanation:
Justin set his watch 19 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Justin last set his watch if the watch is 50 seconds behind?
Answer:
31 days
Step-by-step explanation:
Hope this helps!
Brainiest?
Answer:
31 days
Step-by-step explanation:
you have a set number already 19 if every day the watch goes back 1 day 31+19=50
x2=120
solve for the exact variable answer
Answer:
60 ?
Step-by-step explanation:
60×2 = 120. .
when you have a x right behind a number that means multiply
Find the sum of the squares of 3, 2, 1, and -1
Answer:
15
Step-by-step explanation:
3 x 3=9
2 x 2=4
1x1=1
-1x-1=1
9+4+1+1=15
Answer:
15
Step-by-step explanation:
The square of 3 is 3 times 3, so 9.
2 times 2 is 4.
1 times 1 is 1.
-1 times -1 is 1, because the negative cancels out.
So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.
help please... definition and an example of a quadratic function
Answer:
Step-by-step explanation:
Quadratic function is a function that can be described by an equation of the form fx = ax2 + bx + c, where a ≠ 0.
Example:
1. Use the graph of y = x2 + x - 6 to solve x2 + x - 6 = 0.
2. Use the graph of y = -x2 + 4 to solve -x2 + 4 = 0.
3. Use the graph of y = x2 -2x + 1 to solve x2 -2x + 1.
I need help please and thank you
Complete the problem. Check your answer in the back of the book.
3. Joseph Lee's check register balance is $8,754.33. He compares his
statement with his check register. He notes that the bank paid him
$2.86 in interest and deducted a $1.20 service charge for bill payment.
He finds these outstanding checks and deposits:
Check 845: $751.75 Check 847: $2,455.89 Deposit: $805.14.
solve 2x-6= 12 pls mate
Answer: Standard form:
2x − 18 = 0
Factorization:
2(x − 9) = 0
Solutions:
x = 18
2
= 9
Step-by-step explanation:
12. It's solved you are correct.
Step-by-step explanation:
2x6=12 Also Please mark me brainelst btw mate 2x6 is 12 and 6x2=12. Thanks. I do not know if I'm right.
Is y=-3x^2+10 a function? Justification?
Please help asap!!! math math math math math math help
Answer:
i dont know
Step-by-step explanation:
Answer:
i dont know srry
Step-by-step explanation:
6. A bicycle store costs $2200 per month to operate. The store pays an average of $60
per bike. The average selling price of each bicycle is $80. How many bicycles must the
store sell each month to break even?
need a quick answer please
Answer:
x=7
Step-by-step explanation:
(12x+1))+(5x-3)=117
conbine like terms
17x-2=117
+2 +2
17x=119
/17 /17
x=7
Please help me
I need this ASAP
PLEASE HELP ME
Answer:
180 X 365 = 65700 litres
65700/1000 = 65.7 cubic metres
65.7 X 91.22 = 5993.154
5993.154 / 100 = 59.93154
59.93 + 28.20 = 88.13
yes Henry should have a water meter