Answer:
Step-by-step explanation:
First divide 6 from the left size so it gets cancelled.
Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6
Which becomes (t + 12) = 19
Now, (t + 12) - 12 = 19
Therefore, t = 19 - 12
Answer: t = 7
(whatever you do to one side, most be done to the other side too).
To check,
6(t+12)=114
6(7+12)=114
Solve brackets first, 6(19)=114
114=114
The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
What is Distributive property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
As per the given data:
To apply distributive property in 6 (t + 12) = 114
Distributive property: A (B + C) = A × B + A × C
Now for, 6 (t + 12) = 114
First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:
6 × t + 6 × 12 = 114
6t + 72 = 114
6t = 114 - 72
6t = 42
t = (42/6) = 7
Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
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2. Write the equation of the circle with a center at
(-2, -8) and a radius of v10.
A. (x + 2)^2 + (y + 8)^2 = 25
B. (x - 2)^2 + (y – 8)^2 = 10
C. (x + 2)^2 + (y + 8)^2 = 10
D. (x + 2)^2 + (y + 8)^2 = 100
E. (x - 2)^2 + (y - 3)^2 = 100
Answer:
C. [tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
Step-by-step explanation:
Center of the circle (h, k) = (-2, - 8)
Radius [tex] r=\sqrt {10}[/tex]
Equation of circle in center radius form is given as:
[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex] [x - (- 2)] ^2 +[y-(-8) ]^2 =(\sqrt {10})^2 [/tex]
[tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
The hypotenuse in this 45-45-90 triangle is given. How would you find the length of a leg
of the triangle?
8 V2
45degrees
Answer:
The length of the legs of the triangle is 8 units.
Step-by-step explanation:
45-45-90 triangle
A 45-45-90 triangle is a special case of a right triangle in which both legs l have the same value and the hypothenuse is h. By the Pythagorean Theorem:
[tex]2l^2 = h^2[/tex]
Hypothenuse of 8 V2
This means that [tex]h = 8\sqrt{2}[/tex]
So
[tex]2l^2 = h^2[/tex]
[tex]2l^2 = (8\sqrt{2})^2[/tex]
[tex]2l^2 = 64*2[/tex]
[tex]l^2 = 64[/tex]
[tex]l = \sqrt{64}[/tex]
[tex]l = 8[/tex]
The length of the legs of the triangle is 8 units.
Ruslan's figure has a length of 5cm, a width of 3cm, and a height of 4cm. What is the volume of Ruslan's figure?
Answer:
The colume of Ruslan's figure is 60 cubic centimeters.
Step-by-step explanation:
To find the volume of something, you have to multiply the length by the width, and then multiply that to the height. So you would multiply 5 and 3 to get 15, and then you would multiply 15 and 4 to which then you would get your answer of 60 cubic centimeters.
Answer:
60cm³ is your answer
Step-by-step explanation:
volume of cuboid =l×b×h=5×3×4=60cm³
If x varies directly as y, find x when y = 8.
x = -4 when y = 10
X =
Answer:
9.6
Step-by-step explanation:
I think!
A ship left at the port at 9:00 p.m. and arrived at the next port at 5:00 a.m.
the next day. The distance between the 2 ports was 200 km.
Find the average
speed of the ship.
show solution
Answer:
25km/h
Step-by-step explanation:
It would be helpful to understand the 24 hour clock in this case so you don't get confused by the AM and PM. For reference, 5 AM is technically 17AM, since 5 + 12 = 17.
The ship departed at 9pm, subtract that from 17 and you'll get 8 hours.
17 - 9 = 8
We know that there are 8 hours total, and since the ship traveled 200km, we set up a fraction, which is 8hr/200km. Since we want the average speed, we'll go by km/hr. To do this, we need to set the hrs to 1.
8/x = 1
x = 8
200/8 = 25
Your answer is 25km/hr
What is the solution to the inequality x2 + 5x ≥ 6?
Answer:
x ≤ –6 and x ≥ 1
Step-by-step explanation:
-8(n-5)= -2(4n+11)
SOMEONE PLEASE SOLVE IT PLEASEEEE
Answer:
Use papa math
Select all that apply.
Which two rays form ∠ACB?
1. CA
2. AC
3. CB
4. CE
Answer:
The 2 rays the form ACB ARE AC and CB
Find the missing side. Round
to the nearest tenth.
17
y
44°
Х
y=[?]
Answer:
The answer is 11.8
Step-by-step explanation:
The value of x and y is 12.2 and 11.8 respectively.
What is tangent of an angle?The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
What is sine of an angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
According to the given question.
We have a right angled triangle.
In which one angle is 44 degrees and hypotenuse is 17 units.
Here,
With respect to angle 44 degrees the adjacent side is x and the opposite side is y.
Therefore,
Sine of 44 degrees is given by
[tex]sin44^{o} = \frac{opposite\ side }{Hypotenuse}[/tex]
[tex]\implies sin44^{o} = \frac{y }{17}[/tex]
[tex]\implies 0.6946 = \frac{y}{17}[/tex]
[tex]\implies 0.6946 \times 17 = y[/tex]
[tex]\implies y = 11.80[/tex]
[tex]\implies y = 11.8[/tex]
And, tangent of 44 degrees is give by
[tex]tan 44^{o} = \frac{opposite \ side }{adjacent \ side }[/tex]
[tex]\implies tan44^{o} = \frac{y}{x}[/tex]
[tex]\implies tan44^{o} = \frac{11.8}{x}[/tex]
[tex]\implies 0.9657 = \frac{11.8}{x}[/tex]
[tex]\implies x = \frac{11.8}{0.9657}[/tex]
[tex]\implies x = 12.22[/tex]
[tex]\implies x = 12.2[/tex]
Therefore, the value of x and y is 12.2 and 11.8 respectively.
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How many kilometers does Saturn travel in its orbit in one hour?
Answer:
Hey!! I found this online for you :)
Step-by-step explanation:
Saturn revolves or orbits around the Sun once every 29.4 Earth years, or once every 10,755.7 Earth days. Saturn travels at an average speed of 21,637 miles per hour or 34,821 kilometers per hour in its orbit around the Sun.
Hope this helps!
Have a nice day <3
Plz help me I am timed! Well mark brainliest if you are correct!
Answer:
A
Step-by-step explanation:
The point Y is the center of the circle
the correct answer for point y is c
Tell whether the angles are complementary or supplementary. Then find the value of X
James has a mass of 32.8 kg. Ricardo's mass is 8 3/4 kg more than James's. Winthorp's mass is 3.6 kg less than Ricardo's. What is the total mass of the three boys?
Answer:79.5
Step-by-step explanation:32.8+8.75=41.55 41.55-3.6=37.95 37.95+41.55+32.8=79.5
111.94 kg is the total mass of the three boys.
What is ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. An equation with two ratios set equal to one another is called a percentage.
given, James has a mass of 32.8 kg. Ricardo's mass is 8 3/4 kg more than James's. Winthrop's mass is 3.6 kg less than Ricardo's.
Since Mass of James = 32.8 kg
thus Mass of Ricardo = [tex]8\frac{3}{4}[/tex] + 32.8 = 41.55kg
And Mass of Winthrop = 41.55 - 3.6 = 37.59kg
Sum of mass of all three boys = 32.8 + 41.55+ 37.59
Sum of the mass of all three boys = 111.94 kg
Therefore, the Total mass of the three boys is 111.94 kg.
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Linear parent function fis graphed on the grid.
Which graph best represents h(x) = -f(x) + 3?
It should be G, or the bottom left answer! I'm not sure about it but anyway I hope this helps!
Answer:option 2
Step-by-step explanation:
Write impossible, unlikely, as likely as not, likely, or certain. Then, tell whether the probability is 0,close to 0, 1/2, close to 1, or 1 Picking a red marble from 4 white marbles and 7 green marbles
Answer:
Step-by-step explanation:
Pls help!!!! It is khan academy and I’m giving 15 points!
Use the distributive property to write the sum of the product. 5z-10
Answer:
5(z-2)
Step-by-step explanation:
how many 5/8 pound bags does it take to get 16 pounds of soil?
Answer:
10
Step-by-step explanation:
If an object moves in uniform circular motion in a circle of radius R = 2.00 meters, and the object takes 5.00 seconds to complete ten revolutions, calculate the centripetal acceleration. ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. a= _____ m/s2 39.4 m/s 2 100. m/s 2 158 m/s 2 50.2 m/s 2
A high school student working a part time as a cook
Answer:
Is there supposed to be a picture???
Step-by-step explanation:
Please help! Needed ASAP!
Answer:
1 bagel $3.5
1muffin $1.25
1ticket$9
1snack$2
Step-by-step explanation:
miffin(y)
bagel(x)
x+3y=7.25
x+2y=6
since x is similar in both equations you cancel it out
subtract this
3y=7.25
2y=6
y=$1.25(price for 1 muffin)since we had 3 muffins it will be 1.25×3=7.25,where you do 7.25 to get 3.5 (price for 1 bagel)question 8:ticket(x)
snack(y)
2x+3y=24×3
3x+4y=35×2
×3 and ×2 so we can eliminate the x
6x+9y=72
6x+8y=70
eliminate x
y=2
so snack is $2
2x+(3×2)=24
24-6=18
18÷2x=9
so a ticket is $9
Which line has a slope of 0?
Answer:
y =-10
Step-by-step explanation:
because there is no value of x so the slope of y is-10
PLEASE HELPPP! I'LL GIVE BRAINLEST
A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8
Answer:
Step-by-step explanation:
Help mehhhh plz ASAP
Answer:75
Step-by-step explanation:2 1/2 is equal to 5 halves. If each half is equal to 15 then all you do is multiply 15 by 5
BRAINLIEST FOR CORRECT ANSWER ASAP
Answer:
A. 3x3x3x3 = 81 because you multiply 3 by itself 4 times
Answer:
it is 3×3×3×3=81 because it is said that
3 squared is 3×3 so I did the same tthing. hope it helps you good evening.
I need help please. I don’t know this
Answer:
y = 1x + 6
Step-by-step explanation:
y = mx + b is the formula we need to use. b is the y intercept which is clearly 6 on the graph. Then we need to use rise over run to find our m. We can see for every x value that increases by 1, y also increases at 1. This means our x is 1.
Answer:
(0,6) ,(4,10)
y=(10-6)/×=(4-0)
4/4= 1
The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile ....
The question is incomplete. The complete question is :
The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile and c is measured in miles. What are the units of [tex]$\int_0^7 r(c) \ dc$[/tex] ?
Solution :
The given continuous function is :
r(c), here c is measured in miles and the unit of r is measured in gallons per mile.
So the unit of [tex]$\int_0^7 r(c) \ dc$[/tex] is given by :
= gallons per mile x mile
= gallons
So, the final unit is gallons.
A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle
Answer:
18 because of its addition
Step-by-step explanation:
πr²=3+2+7+2+2+2
=5+9+4
=18
Hi his figure is made up of unit cubes, each with a volume of 1 cubic unit.
What is the volume of the figure?
( photo is attached)
(Will give brainliest if you help)
Answer:
D. 100 cubic units
Step-by-step explanation:
There are 10 cubes in each layer (count at the top) and 10 layers (from top to bottom) in total. Multiply these to get volume.
10 x 10 =100
Answer:
B. 60 cubic units
Step-by-step explanation:
Formulas for a cube:
The volume of a cube:
V = a3
The surface area of a cube:
the area of each face (a x a) times 6 faces
S = 6a2
Face diagonal of a cube:
By the Pythagorean theorem, we know that
f2 = a2 + a2
Then f2 = 2a2
solving for f we get
f = a√2
Diagonal of the solid cube:
Again, by the Pythagorean theorem, we know that
d2 = a2 + f2
substituting f into this equation we get
d2 = a2 + (a√2)2 = a2 + 2a2 = 3a2
solving for d we get
d = a√3