Given:
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
Angle sum property of a triangle: According to this property, the sum of all interior angles of a triangle is 180 degrees.
Using the angle sum property of triangle, we get
[tex]x^\circ+53^\circ+97^\circ=180^\circ[/tex]
[tex]x^\circ+150^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-150^\circ[/tex]
[tex]x^\circ=30^\circ[/tex]
Therefore, the value of x is 30 degrees.
A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters.
What is the
volume of the cone?
75.62 cubic cm
713.21 cubic cm
237374 cubic cm
2,571.14 cubic cm
The numerator of a given fraction is 4 less than the denominator. if 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes 1/4, what is the given fraction?
Answer:
Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.
Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .
Let the fraction be
Since the numerator of a given fraction is 4 less than its denominator we have,
Numerator=Denominator-4
⇒ a=b-4
Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have
4(a-3)=1(b+5)
4a-12=b+5
4a-b=17
4(b-4)-b=17 ( ∵ a=b-4)
4b-16-b=17
3b=17+16
3b=33
⇒ b=11
Now put b=11 in a=b-4 we get
a=11-4
⇒ the fraction is a/b=7/11
please hurry i need this done asappppp
Answer:
11,25
Step-by-step explanation:
If each square on the grid represents 400 miles how many miles would Jacob's family travel in total
Answer:
80miles
Step-by-step explanation:
400=L
L[tex]\sqrt{400[/tex]
=20
to find p
4L
4(20=80
In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. Write and equation, where the hundredths digit is x.
Answer:
The mentioned number in the exercise is:
362Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
x = hundredths digity = tens digitz = ones digitWe can write:
x = z + 1 (the hundreds digit is one more than the ones digit).y = 2x (the tens digit is twice the hundreds digit).x + y + z = 11 (the sum of the digits is 11).Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
x + y + z = 11(z + 1) + y + z = 11 (remember x = z + 1)z + 1 + y + z = 11z + z +y + 1 = 11 (we just ordered the equation)2z + y + 1 = 11 (z + z = 2z)2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)2z + y = 102z + (2x) = 10 (remember y = 2x)2z + 2x = 102z + 2(z + 1) = 10 (x = z + 1 again)2z + 2z + 2 = 104z + 2 = 104z = 10 - 24z = 8z = 8/4z = 2Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
x = z + 1x = 2 + 1x = 3And we'll use the second equation to obtain the value of y (the tens digit):
y = 2xy = 2(3)y = 6Organizing the digits, we obtain the number:
Number = xyzNumber = 362As you can see, the obtained number is 362.
What of the following is NOT a formula for circumference?
a) C=2πr
b) C=πr
c) C=πd
Answer:
The formula for circumfernce is C=pixd D is diameter
Step-by-step explanation:
4. At what temperature will the average speed of oxygen molecule be sufficient so as to escape from the earth? [escape velocity from the earth is 11.2km/s and mass of one oxygen molecules is 5.34×10-26 gm/molecule and Kg = 1.38 x 10-23J/K]
Which equation is equivalent to 5= 4/3 (6y +9)?
A) 5 = 8y +3
B) 5= 8y +9
C) 5 = 8y + 12 D) 5 = 8y + 36
Answer:
option C
Step-by-step explanation:
[tex]5 = \frac{4}{3}(6y + 9)\\\\5 = \frac{4\times6y}{3} +\frac{4 \times 9}{3}\\\\5= 8y + 12[/tex]
which ordered pair is a solution of the equation
Answer:
A
Step-by-step explanation:
y - 3 = 5(x - 2)
y - 3 = 5x - 10 Add 3 to both sides
y = 5x - 7
Let x = 2
y = 5*2 - 7
y = 3
So (2,3) works
Let x = 3
y = 5*3 - 7
y = 15 -7
y = 8
The answer is A
what is the answer to ?+?x?=58
Answer:8+10X5=58 or 3+5x11=58
Step-by-step explanation: hope it help
What is this distance in standard form??
The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games
Answer:
4
Step-by-step explanation:
3+7+2
12
12/3
4
There are 6 Programmers and 8 Analysts working on a team at CIA. What is the unsimplified ratio of Programmers to Analysts?
Answer: [tex]\dfrac{6}{8}[/tex]
Step-by-step explanation:
Given
There are 6 Programmers and 8 Analysts working on a team at CIA.
Ratio of Programmers to analysts is
[tex]\Rightarrow \dfrac{6}{8}[/tex]
Un-simplified ratio is [tex]\dfrac{6}{8}[/tex]
Simplified ratio is [tex]\dfrac{3}{4}[/tex]
someone help please
Answer:
7.76
Step-by-step explanation:
tan 29° = XY/14
XY = tan 29° (14)
= 7.76
Answer:
XY=7.76
Step-by-step explanation:
Tan25° says opp÷adj
so it's Tan29°=XY÷14
then multiply both sides by 14 to make CY the subject of the formula...
14×Tan29°=XY
therefore=XY=7.76
A runner runs a distance of 640 metres in a time of 80 seconds.
What is his average speed?
Answer:
8 meters per second
Step-by-step explanation:
We can divide meters by seconds to get his average speed in meters per second. -- 640 m / 80s = 8 m/sec (meters per second). We can also figure out his average speed in minutes by multiplying 8 by 60 (because there are 60 seconds in a minute), 8 * 60 = 480 m/min (meters per minute).
Answer:
8m/s
Step-by-step explanation:
Speed is equal the distance upon time.
640/80
so speed is equal to 8m/s
hey! i’ll give brainliest please help
Answer:
Polar bears with white coats are better camouflaged (๑・ω-)~♥”
Answer:
D
Step-by-step explanation:
Please help with this and find all 18 missing angles quick
20 points
Answer:
1. 128
2. 136
3. 128
4. 52
5. 44
6. 136
7. 84
8. 96
9. 96
10. 84
11. 128
12. 52
13. 44
14. 136
15. 52
16. 128
17. 136
18. 44
What term describes the elements that sets have in common in a Venn diagram?
can somebody please plz tell me the answer to this question or else I will be grounded. the window has the shape of a kite how many square meters of glass were used to make the window
4q^2 - (qr + 25) if q = 6 and r = 19
Can someone explain this to me I already know the answer is 50 but how is it 50?
Evolution is the changes in organisms over _________
1: a month
2: tens of years
3: thousands of years
4: millions of years
Answer:
4.
Step-by-step explanation:
Answer:
Evolution is the changes in organisms over ____millions of years_____
1: a month
2: tens of years
3: thousands of years
4: millions of years
which is the solutions to the system of equations shown { 3x - y = 6 and here is the other equation{ x - 2y = -18
Answer:
(6, 12)
Step-by-step explanation:
{ 3x - y = 6
{ x - 2y = -18
by using elimination:
6x -2y=12
x - 2y= -18
________-
5x = 30
x = 6
y = 18-6 = 12
the solutions = {(6, 12)}
Select the correct answer from each drop-down menu.
The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are
. The values of p from the set that make 4p − p > 13 true are
.
Answer:
p=1, 2, 3
Step-by-step explanation:
p(4-1)<13
p3<13
p<13/4
p<3.25
p=1, 2, 3
Cherry pies cost $12 each. Apple pies cost $9 each. You sold 20 pies and brought in $198. How many apple pies did you sell? How many cherry pies did you sell?
Answer:
You sold 6 cherry pies and 14 apple pies.
Step-by-step explanation:
It's a system of equations problem.
12C + 9A = 198
A + C = 20
A = 20 - C
12C + 9(20 - C) = 198
12C + 180 - 9C = 198
3C + 180 = 198
3C = 18
C = 6
A + 6 = 20
A = 14
Answer:
Cherry Pie=$12 per 1
Apple pie= $9 per 1
Let x represent number of Cherry Pies sold.
let y represent number of Apple pie sold
x + y = 20---------------1
12x + 9y = 198---------2
From eqn 1
x=20-y
Substitute into eqn 2
12x + 9y = 198
12(20-y) + 9y=198
240 - 12y + 9y = 198
240 - 3y =198
3y = 240 - 198
3y=42
y=14.
x + y =20
x + 14=20
x=20-14
x=6.
So...
Its means that I SOLD 6 CHERRY PIES AND 14 APPLE PIES
What is the volume of a cone with a diameter of 20 inches and height of 25 inches?
Answer:
7853.98163in³
Step-by-step explanation:
V=
π
d
2
2
h
=
π
20
2
2
25
≈
7853.98163in³
so i have 136 sq units in surface area of a rectangle how do i get 136
plz helps as so you can
Answer:
well you answered the question in your question: you have Area = 136 square units. How you got it, you need to be more specific. Maybe it's because the side lengths are 2 * 68 for example. If anything provide more info. tried to help the best I can
Step-by-step explanation:
15 minutes before 5 in the morning is written as _:__a.m.
Answer:
It's
Step-by-step explanation:
4:45am. That's the correct answer
15 minutes before 5 in the morning is written as 4:45am
This is for math pls help I need this done
Answer:
its upside down turn it around
Step-by-step explanation:
Which equation is equivalent to 6 (y+ 3) — 3 (у — 2) = 18?
A) 6у +3 — 3у – 2 = 18
B) 6у +3 + 3y – 2 = 18
C) 6y+ 18 — 3 — 6 = 18
D) 6y+ 18 — 3y + 6 = 18
Answer:
the answer is D
............
Answer:
The answer is (D)
Step-by-step explanation:
[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]