Answer:
5km
Step-by-step explanation:
Please check the attached image for a diagram explaining this question
The distance from A to C can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
3² + 4²
= 16 + 9
= 25
determine the square root of 25
√25 = 5km
The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made by the wheel per hour, giving your answer correct to the nearest whole number.
Answer:
Approximately [tex]50420[/tex] revolutions (rounded to the nearest whole number.)
Step-by-step explanation:
Convert the diameter of this wheel to meters: [tex]d = 30\; \rm cm = 0.30\; \rm m[/tex].
Circumference of this wheel:
[tex]\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m[/tex].
Distance travelled in one hour:
[tex]\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}[/tex].
Number of revolutions required for covering that distance:
[tex]\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420[/tex].
Find n.
help pleaseeee
Answer:
C
Step-by-step explanation:
Im pretty sure its c, i took this test not too long ago.
for f (x)= -x + 8, what is the value of x for which f(x) = 9?
Answer:
x=-1
Step-by-step explanation:
f (x)= -x + 8
Let f(x) = 9
9 = -x+8
Subtract 8 from each side
9-8 = -x+8-8
1 = -x
Multiply each side by -1
-1 = x
Solve each inequality, and then drag the correct solution graph to the inequality.
The correct solution graph to the inequalities are
[tex]4(9x-18)>3(8x+12)[/tex] → C
[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex] → A
[tex]1.6(x+8)\geq 38.4[/tex] → B
(NOTE: The graphs are labelled A, B and C from left to right)
For the first inequality,
[tex]4(9x-18)>3(8x+12)[/tex]
First, clear the brackets,
[tex]36x-72>24x+36[/tex]
Then, collect like terms
[tex]36x-24x>36+72\\12x >108[/tex]
Now divide both sides by 12
[tex]\frac{12x}{12} > \frac{108}{12}[/tex]
∴ [tex]x > 9[/tex]
For the second inequality
[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex]
First, clear the fraction by multiplying both sides by 3
[tex]3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)[/tex]
[tex]-1(12x+6) \geq -6x +42[/tex]
Now, open the bracket
[tex]-12x-6 \geq -6x +42[/tex]
Collect like terms
[tex]-6 -42\geq -6x +12x[/tex]
[tex]-48\geq 6x[/tex]
Divide both sides by 6
[tex]\frac{-48}{6} \geq \frac{6x}{6}[/tex]
[tex]-8\geq x[/tex]
∴ [tex]x\leq -8[/tex]
For the third inequality,
[tex]1.6(x+8)\geq 38.4[/tex]
First, clear the brackets
[tex]1.6x + 12.8\geq 38.4[/tex]
Collect likes terms
[tex]1.6x \geq 38.4-12.8[/tex]
[tex]1.6x \geq 25.6[/tex]
Divide both sides by 1.6
[tex]\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}[/tex]
∴ [tex]x \geq 16[/tex]
Let the graphs be A, B and C from left to right
The first graph (A) shows [tex]x\leq -8[/tex] and this matches the 2nd inequality
The second graph (B) shows [tex]x \geq 16[/tex] and this matches the 3rd inequality
The third graph (C) shows [tex]x > 9[/tex] and this matches the 1st inequality
Hence, the correct solution graph to the inequalities are
[tex]4(9x-18)>3(8x+12)[/tex] → C
[tex]-\frac{1}{3}(12x+6) \geq -2x +14[/tex] → A
[tex]1.6(x+8)\geq 38.4[/tex] → B
Learn more here: https://brainly.com/question/17448505
Answer:
4(9x − 18) > 3(8x + 12) = x > 9
(12x + 6) ≥ -2x + 14 = x ≤ -8
1.6(x + 8) ≥ 38.4 = x ≥ 16
Just follow the numbers with the dotted thing and see the numbers I underlined.
Step-by-step explanation:
Use the properties of inequality and real numbers to solve each inequality.
4(9x − 18) > 3(8x + 12)
36x − 72 > 24x + 36
12x − 72 > 36
12x > 108
x > 9
The graph has an open circle at 9, and moves toward the right on the number line.
(12x + 6) ≥ -2x + 14
12x + 6 ≤ 6x − 42
6x + 6 ≤ -42
6x ≤ -48
x ≤ -8
The graph has a closed circle at -8, and moves toward the left on the number line.
1.6(x + 8) ≥ 38.4
x + 8 ≥ 24
x ≥ 16
The graph has a closed circle at 16, and moves toward the right on the number line.
Natalie bought 8 toys for $50. Which of the following has the same price per toy?
Answer:
The price per toy is $6.25.
Step-by-step explanation:
The price per toy is calculated by dividing the cost of all toys by the number of toys.
$50/8 = $6.25
The price per toy is $6.25.
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.)
Answer:
x=61.71428 or 61 5/7
Step-by-step explanation:
We can use a ratio to solve
7 pieces 12 pieces
----------------- = ---------------
36 seconds x seconds
Using cross products
7x = 36*12
7x = 432
Divide by 7
7x/7 = 432/7
61 5/7
x=61.71428
Answer:
66
Step-by-step explanation:
what is 2x 3 -7x^{3}−7x 3
Answer:
It is given that
4x/3−7x/3=1
Step-by-step explanation:
By further calculation
−3x/3=1
So we get
−x=1
x=−1.
(x^2+12x+36)-(x-1)^2
x^2-4xy+4y^2
16x^2-8x+1
x^2+4x+4
4x^2+12xy+9y^2
x^2-8x-16
4x^2-16
x^2-1
x^2+6x+9
9x^2-25y^4
16x^2-8x+1
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
(I'm so confused please help)
Suppose M is the midpoint of XY. If XM = 2x + 11 and MY = 5x - 16, find the value of X.
A) x = -4
B) x = 4
C) x = -9
D) x = 9
E) x = 2
My math:
2x + 11 = 5x + 16
(-5x and -11 from both sides)
-3x=5
(divide -3 on each side)
x=-5/3
But it isn't an option, so I don't know.
Answer:
D
Step-by-step explanation:
Instead of 2x + 11 = 5x + 16, you should have put 2x+11 = 5x - 16. There is a sign change right before the 16, and you may have accidentally written down +16 instead of -16. I think that's where the problem is.
2x + 11 = 5x - 16
subtract 5x from both sides to make all variables on one side
-3x + 11 = -16
subtract 11 from both sides to isolate the x and its coefficient
-3x = -27
divide both sides by -3 to isolate x
x = 9
Graph the solution to the following system of inequalities.
y-2x-9
y<2x+7
Answer:
Tb bight by icing I jb Yves j by by by navy by iffy i by by by
I WILL GIVE BRAINLIEST!! NO LINKS PLZ
Simplify.
Answer:
[tex] \large{ \tt{❃ \: S \: O \: L \: U \: T \: I \: O \: N \:❃ }}[/tex]
[tex] \large{ \tt{❊ \: S \: T \: E \: P \: S \: ❊}}[/tex]
[tex] \huge{ \tt{ \: \frac{4 \sqrt{6} }{5 \sqrt{3} } = \frac{4 \: \cancel{ \sqrt{6}} \: ^{\sqrt{2}} }{5 \: \cancel{\sqrt{3} }} }} = \: \boxed{\frac{4 \sqrt{2} }{5} }[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{⤻ \: OUR \: FINAL \: ANSWER : \boxed{ \tt{ \frac{4 \sqrt{2} }{5}}}}}}} [/tex]
Note : In the second step , I divided √6 by √3 as a result of it , I got √2- Hope this helps! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any other help! :)
A student recorded the weight of potatoes she used for a science fair project. Read
the data. For each potato, draw an X above the line plot to show its weight.
B
E
1
Weight in
읍 유 2 / 4 1 2 3 4 2
A
Potato
С
3
D
F
G
H
2
4
pounds
Кеу
1 potato = x
4.
4
O
2
4.
4
What is the total weight of all the potatoes? Give your answer in simplest form.
3
What is the difference in weight between potatoes that weigh 4 pound and those that
weigh pound? Give your answer in simplest form.
what?
Step-by-step explanation:
I dont understand
Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita’s error?
Answer:
8b(4a-1)
Step-by-step explanation:
32ab-8b
8b(4a-1)
Answer:
Did ur question get answered ??
Step-by-step explanation:
if 20,x,y,z,25 are in AP .find the value of X,y,z.
Answers:
x = 21.25y = 22.5z = 23.75=============================================================
Work Shown:
AP = arithmetic progression, which is the same as arithmetic sequence
d = common difference
x = 20+dy = 20+2dz = 20+3dNotice how we scale up the d terms d, 2d, 3d, counting up by 1 each time.
So that must mean 25 is the same as 20+4d
20+4d = 25
4d = 25-20
4d = 5
d = 5/4
d = 1.25
and therefore,
x = 20+d = 20+1.25 = 21.25y = 20+2d = 20+2*1.25 = 22.5z = 20+3d = 20+3*1.25 = 23.75We could convert these to fraction form, but I find decimal form is easier in this case.
Find the x and the y.
2x+y+79-x+4y=180
HELP PLEASE!!!!
Find the length of BC
А.53.74
B.96.95
C.84.79
D26.05
Answer:
D 26, 05
Step-by-step explanation:
(look at picture attached)
Where do I get the second number from? I’m confused lol
Answer:
(1, 0)
Step-by-step explanation:
You have to follow the horizontal line when the coordinate x=1, until the y-axis, so you'll realize that y=0
Answer:
2/2,0/2 = (1,0)
Step-by-step explanation:
(3,1)(-1,-1)
midpoint (x1+x2)/2,(y1+y2)/2
You start with a given set of rules and conditions and determine something to
be true. What type of reasoning did you use?
O A. deductive
O B. inductive
C. logical
D. conditional
Answer:
i use logical reasoning
whats the area of this shape?
Answer:
54
Step-by-step explanation:
find the area of each shape. you have a length of 3 and a height of 4.
3 • 4 = 12
you have this shape twice so 12 • 2 = 24
now you have a length of 5 and a height of 6.
5 • 6 = 30
so adding up all of the numbers (24 + 30), you have an answer of 54.
Find an equation of the line through the given points right the final answer in intercept form
Answer:
got it
Step-by-step explanation:
What is the length of BD?
Answer:
BD = 10 √3
Step-by-step explanation:
ABC ∆ ,
BD ÷ 20 = sin 60
BD = 20 sin 60
BD = (20 √3) / 2
= 10 √3
The sweet shop sells licorice at $9.40 per kg. How much would 250g of licorice cost?
Answer:
Step-by-step explanation:
1kg=1000
Point G is the circumcenter of ABC . Point G is the point of concurrency of the perpendicular bisector. Find BG
Answer:
BG = 25
Step-by-step explanation:
The circumcentre is equally distant from the triangles 3 vertices, then
BG = CG = 25
The perimeter of a rectangle is 64 feet. If one side of the rectangle has a length of 20 feet. How long is the other side?
Please answer thanks
Answer:
b=12
Step-by-step explanation:
Perimeter=2*(l+b)
64=2*(20+b)
b=12
Answer:
The width is 12 feet
Step-by-step explanation:
If the length is 20 feet, the other side must be 20 feet as well. The perimeter is the addition of all sides of a rectangle. Length: 20 on one side, 20 on other side. Subtract the length from total perimeter and you get 24 feet remaining. Divide 24 by 2. 12 feet for the width.
the sum of four consecutive even numbers is 1052. find these numbers
Answer:
Answer is down below.
Step-by-step explanation:
To find the answer, we will have to use basic Algebra in order to view the solution.
Let the first number be = x
Let the second number be = x+2
Let the third number be= x+4
Let the fourth number be= x+6
(We did the x+ part because consecutive means following continuously..)
Now let's put the equation:
x+x+2+x+4+x+6 = 1052
Let's add all the variables and numbers separately in order to simplify:
4x+12 = 1052
Subtract 12 on both sides.
4x = 1040
Divide 4 on both sides
x = 260
Now, we know the value of x. Let's put it in our numbers.
Let the first number be = x = 260
Let the second number be = x+2 = 262
Let the third number be= x+4 = 264
Let the fourth number be+ x+6 = 266
Now, let's double check to see if our answers are correct.
260+262+264+266 = 1052
Valla! They are.
Hope this Helps! Please Mark Brainliest!
Convert the following quinary numbers into decimal numbers.
a) 12
b) 34
c) 42
d) 120
e) 213
f) 430
g) 1234
h) 230
i) 3042
j) 4132
Convert the following decimal numbers into quinary numbers.
a)14
b) 29
c) 48
d) 67
e) 95
f) 116
g) 154
h) 208
i) 372
j) 539
Please help me with this question
Some one deleted my question please don't delete it
I Know the answer but not the process
12= 1*5^1+2*5^0
5+2
7
34=3*5^1+4*5^0
15+4
19
42=4*5^1+2*5^0
20+2
22
120=1*5^2+2*5^1+0*5^0
25+10+0
35
213=2*5^2+1*5^1+3*5^0
100+5+3
108
430=4*5^2+3*5^1+0*5^0
400+15+0
415
quinary
Find the surface area of the rectangular prism
Front: 60 cm^2
Area = 6 x 10 = 60
Back: 60 cm^2
Area = 6 x 10 = 60
Right: 30 cm^2
Area = 3 x 10 = 30
Left: 30 cm^2
Area = 3 x 10 = 30
Bottom: 18 cm^2
Area = 6 x 3 = 18
TOTAL: 216 cm^2
Formula I used:
SA of a rectangular prism:
2 (lw + hl + w)
Just use the formula without the “lw”. After you used the formula, just solve for “lw” again and add it back to the final answer. This is because the upper part of the prism is not included.
Answer:
216 square cm
Brainliest, please!
Step-by-step explanation:
A rectangle has 6 sides. 2 are the same, 2 are the same, and the final 2 are the same.
(6 x 10) x 2 = 60 x 2 = 120 (Front + Back)
(3 x 6) x 2 = 18 x 2 = 36 (Top + Bottom)
(3 x 10) x 2 = 30 x 2 = 60 (Left + Right)
120 + 36 + 60 = 216 square cm
What is the possible answer?
Standard form of a quadratic equation: ax^2 + bx + c = 0
3x - 4 = -x^2
x^2 + 3x - 4 = 0
Hope this helps!
What is the negative square root of 0.25?
Answer:
-0.5
Step-by-step explanation:
find the measure of one interior angle for the following regular polygon
Answer:
144 degrees
Step-by-step explanation:
We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:
(n-2)(180) = ?
(10-2)(180) = ?
(8)(180) = 1440.
Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).
1,440/10 = 144
= 144 degrees