Answer:
C
Step-by-step explanation:
using the pythagorean theorem,
a²+b²=c²
8²+7²=c²
64+49=c²
113=c²
[tex] \sqrt{113 = \sqrt{c}² } [/tex]
10.63=c
123.7 cm= How many meters?
123.7 cm = 1.237 meters
hope it helps.
As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?
Answer:
The other distances are 400 ft and 750 ft.
Step-by-step explanation:
a + b + c = 2000
a + b + 850 = 2000
a + b = 1150 Equation 1
a^2 + b^2 = c^2
a^2 + b^2 = 850^2
a^2 + b^2 = 722,500 Equation 2
a + b = 1150
a^2 + b^2 = 722,500
a = 1150 - b
(1150 - b)^2 + b^2 = 722,500
1,322,500 - 2300b + b^2 + b^2 = 722,500
2b^2 - 2300b + 600,000 = 0
b^2 - 1150b + 300,000 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]
[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]
[tex]x = \dfrac{1150 \pm 350}{2}[/tex]
[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]
x = 750 or x = 400
Answer: The other distances are 400 ft and 750 ft.
The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
A pet store has 10 puppies including for poodles three terriers and three retrievers if Rebecca selects one puppy at random the pet store replace a puppy with a copy of the same breed then Aaron chooses a puppy at the random find the probability that they both select a poodle?
Answer:
then its 16 i think
Step-by-step explanation:
6. Which is the solution to the system of equations
Answer:
Lets solve using elimination method
(x+y=-7)*-2
3x+2y=-17
-2x-2y=14
+
3x+2y=-17
x=-3
so lets substitute now
-3+y=-7
y=-7+3
y=-4
answer = (-3,-4)
mark me brainliest
HOPE IT HELPS :)
Help pls! (4c+4)(2c-3)
Answer:
8c2 - 4c - 12
Step-by-step explanation:
Answer:
8c^2-4c-12
Step-by-step explanation
So you have to multiply 4c into 2c and -3 first and then 4 into 2c and -3.
(4c+4)(2c-3)
4c X 2c is 8c^2
(4c+4)(2c-3)
4c X -3 is -12c
So for the 4c multiplying in you would get 8c^2 and -12c, but we still have to multiply in the 4
4 X 2c is 8c
(4c+4)(2c-3)
4 X -3 is -12
So then we would get 8c^2-12c+8c-12, however we can still combine the -12c and the 8c. Combining those would get -4c. So the final answer is 8c^2-4c-12
2) What angle measurement will make the value of sine and cosine
equal?
A) 30°
B)
45°
C) 60°
D 90°
What generalization can you make about the equations?Use the drop-down menus to complete the explanation
Answer:
They have the same end results
Step-by-step explanation:
Given
The missing equations are:
[tex]7 / \frac{1}{4} =[/tex]
[tex]7 * 4 =[/tex]
Required
Make a generalization about the equations
First, we solve both equations.
(1)
[tex]7 / \frac{1}{4} =[/tex]
[tex]7 / \frac{1}{4} = 7 * 4[/tex]
[tex]7 / \frac{1}{4} = 28[/tex]
(2)
[tex]7 * 4 =[/tex]
[tex]7 * 4 = 28[/tex]
From the solutions to the above equations, we can see that both equations have the same end result;
i.e.
[tex]7 / \frac{1}{4} = 7 * 4 = 28[/tex]
Hence;
A generalization can be: "they have the same end results"
If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on coke.
Please Help Will Give Brainlist
2a+2=6
Answer: 4a
Step-by-step explanation:
Answer:
a = 2
Step-by-step explanation:
2a + 2 = 6
2a + 2 - 2 = 6 - 2
2a = 4
2a / 2 = 4 / 2
a = 2
Hope this helps and I would appreciate if you give me the brainlist or not, thank you :) !!
(8x) 2/3 radical form
Which algebraic expression is equivalent to 3 less than the sum of y and 5?
HELP!!!! PLZ!!!!!!
You made a profit of $65,000. You would like to invest the $65,000 into an account that pays you an annual compounded interest rate of 5.5%. You want to make annual withdrawals over the next 10 years such that by the end of this 10 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. please Round your answer to the nearest cent.
Answer:
d. $8,623.40
Step-by-step explanation:
EDGE 2021
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
What is the GCF of 4x^ 2 +6x
Answer:
The GCF of 4x^2 + 6x
is. (2x )
hope it helps
2x
Use the Distributive Property to find the product 3/4 • 2 1/3
help pls asap!!!!!!! brainliest!!!!!!
geometry unit 5 homework 5
Answer:
Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?
Find the solution or solutions to this equation. Need Help ASAP! Need Help NOW!
Answer: 6
Step-by-step explanation:
If 36=q^2 then you would have to square root 36 to just find q. The square root of 36 is 6.
If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
Answer:
g(x) = x + 3Step-by-step explanation:
Givenh(x) = (f ο g)(x)h(x) = [tex]\sqrt{x+5}[/tex]f(x) = [tex]\sqrt{x+2}[/tex]To findg(x)SolutionWe know that:
(f ο g)(x) = f(g(x))Substitute x with g(x) and solve for g(x):
[tex]\sqrt{x+5}[/tex] = [tex]\sqrt{g(x)+2}[/tex]x + 5 = g(x) + 2x + 3 = g(x)g(x) = x + 3Use the Distributive Property to simplify the expression.
9(3+c+ 4) =
Answer:
9c4+27 is what I got from solving
Answer:
9(7+c)
I hope it's correct sorry if I'm wrong :(
2)
During a 500 minute car trip, Luke spent 74 minutes listening to his MP3 player, 56 minutes playing video games,
128 minutes watching a movie, and 38 minutes reading. The rest of the time he spent napping. If the time Luke
spent on these four activities is rounded to the nearest ten, about how many minutes did Luke spend napping?
A. 100 min.
B. 200 min.
C. 300 min.
D. 400 min.
Type here to search
O
9:28 PM
3/16/2021
DOLL
Answer:
B.) About 200 minutes napping
Step-by-step explanation:
74+56+128+38=296
500-296=204
204 is about 200
6x + 7b - 7x + 10x
What is the answer to this question?
Answer:7b+9x
Step-by-step explanation:hope I helped
please help me answer !!!!
Answer:
what are the options in the scroll down options
vjzgxv. vjvjcvjkv. vjvkvkkb
can someone please answer some of my questions on my page? im being stalked by a bot who wont give me and answer and keeps putting a link, but i want a trustful answer. (i will mark brainliest on any questions you answer if you do)
Answer:
Trust me
Step-by-step explanation:
Answer:
ikr they put this cuttly.com /... thing in it right
Step-by-step explanation:
sales of 10 000 increase by 65 each year
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
(-4,-4), (1,3)
Find the distance and slope between each pair of points.
In ΔEFG, the measure of ∠G=90°, the measure of ∠E=19°, and FG = 62 feet. Find the length of GE to the nearest tenth of a foot.
Answer:180.1 feet
Step-by-step explanation:
Using tan to find the answer; Opposite/Adjacent = 62/x
tan19=62/x
xtan19=62 (cross multiply)
xtan19/tan19=62/tan19 (Divide each side by tan19)
x=62/tan19=180.0611=180.1 feet
Is it point s,w,v, or R PLEase HELP
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Answer:
[tex]V = 6746.30cm^3[/tex]
Step-by-step explanation:
Given
[tex]Surface\ Area = 1700cm^2[/tex]
Required
Determine the largest possible volume
Represent the dimension with:
[tex]Height = h[/tex]
[tex]Sides = x[/tex]
Surface Area with an open top is:
[tex]Surface\ Area = x^2+ 4hx[/tex]
Substitute 1700 for Surface Area
[tex]1700 = x^2+ 4hx[/tex]
Make h the subject
[tex]4hx = 1700 - x^2[/tex]
[tex]h = \frac{1700 - x^2}{4x}[/tex]
The volume (V) is calculated as:
[tex]V = x^2h[/tex]
Substitute value for h in [tex]V = x^2h[/tex]
[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]
[tex]V = x*\frac{1700 - x^2}{4}[/tex]
[tex]V = \frac{1700x - x^3}{4}[/tex]
[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{1}{4}x^3[/tex]
Differentiate and equate to 0, afterwards
[tex]V' =425 - \frac{3}{4}x^2[/tex]
[tex]425 - \frac{3}{4}x^2 = 0[/tex]
[tex]\frac{3}{4}x^2 = 425[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = 425 * \frac{4}{3}[/tex]
[tex]x^2 = 566.67[/tex]
Take the square root of both sides
[tex]x = \sqrt{566.67[/tex]
[tex]x = 23.80[/tex]
Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]
[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]
[tex]h = \frac{1133.56}{95.20}[/tex]
[tex]h = 11.91[/tex]
So, the largest possible volume is:
[tex]V = x^2h[/tex]
[tex]V = 23.80^2 * 11.91[/tex]
[tex]V = 6746.30cm^3[/tex]