Answer:
[tex]\boxed {\tt h=20\ inches}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be found using the following formula.
[tex]v=l*w*h[/tex]
We know that the volume is 12,090 cubic inches, the length is 31 inches, and the width is 19.5 inches.
[tex]v= 12,090 \ in^3\\l=31 \ in \\ w=19.5 \ in[/tex]
[tex]12,090 \ in^3= 31 \ in * 19.5 \ in * h[/tex]
Multiply 31 inches and 19.5 inches.
[tex]12,090 \ in^3= 604.5 \ in^2 * h[/tex]
We are trying to find h, therefore we must isolate it. h is being multiplied by 604.5 square inches. The inverse of multiplication is division. Divide both sides of the equation by 604.5 in²
[tex]\frac{12,090 \ in^3}{604.5 \ in^2}= \frac{604.5 \ in^2 *h}{604.5 \ in^2}[/tex]
[tex]\frac{12,090 \ in^3}{604.5 \ in^2}=h[/tex]
[tex]20 \ in =h[/tex]
The height of the shopping basket is 20 inches.
Oceanside Bike Rental Shop charges 12 dollars plus 7 dollars an hour for renting a bike. Sandy paid 40
dollars to rent a bike. How many hours did she pay to have the bike checked out?
x = # of hours the bike was rented.
$40 = $12 + $7x
Subtract $12 from both sides.
$28 = $7x
Divide both sides by $7
4 = x
Sandy rented the bike for 4 hours.
(-2)(7)(-75)(3)(-2)=?
Answer:
-6300
Step-by-step explanation:
I just plugged it into my calculator, Google's works just fine :)
The coordinates of point T are (0,4). The midpoint of ST is (1,-5). Find the coordinates of point S.
The other endpoint is
(Type an ordered pair.)
3/4 + (-2 1/2) on a number line.. select the location on the number line to plot the sum.. HURRYYYYY
Answer:
the answer is -1 3/4
Step-by-step explanation:
The musical theme was first introduced by the
Answer:
entire orchestra I'm gonna say
Is 3x + 3x 2= 6x 3 ? Explain.
Answer:
No
Step-by-step explanation:
It is not, because we can only add the terms that contain x of the same order.
For x to be grouped with x 2 resulting in x 3 the terms would have to be multiplying
In this case they are grouped
x * x 2 = x 3
In this case they are not grouped
x + x 2 = x + x 2
HELP ME PLESE ,3 I NEED THIS
Answer:
270°
Step-by-step explanation:
[tex]m\widehat{BC} = 360\degree - (146\degree + 90\degree) \\
m\widehat{BC} = 360\degree -236\degree \\
m\widehat{BC} = 124\degree \\\\
m\widehat{ABC} =m\widehat {AB} + m\widehat {BC} \\
m\widehat{ABC} =146\degree + 124\degree \\
\huge \red {\boxed {m\widehat{ABC} =270\degree}} \\
[/tex]
Find the area.
A. 1818 sq cm
B. 1406 sq cm
C. 1246 sq cm
D. 141 sq cm
E. 146 sq cm
Answer:
C
Step-by-step explanation:
39*34= 1326 (the area of the full square
8*10=80 (the area of the small square that is cut off)
1326-80= 1246
Answer:
C = 1246 sq. cm.
Step-by-step explanation:
finding the area is simply splitting the area into two (see image)
A1 = 26 x 39 = 1014
A2 = 8 x 29 = 232
total area = 232 + 1014
total area = 1246 sq. cm.
therefore, the answer is C = 1246 sq. cm.
Find the measure of angle C of △ABC, if m∠A = α, m∠B = 2α its not 10-3a(will mark brainliest!)
Answer:
[tex]C = 180 - 3a[/tex]
Step-by-step explanation:
Given
[tex]A = a[/tex]
[tex]B = 2a[/tex]
Required
[tex]Find\ C[/tex]
Since, ABC is a triangle, we have:
[tex]A + B + C = 180[/tex]
Substitute values for A and C
[tex]a + 2a + C = 180[/tex]
[tex]3a + C = 180[/tex]
Subtract 3a from both sides
[tex]C = 180 - 3a[/tex]
Answer:
180°-3α
Step-by-step explanation:
If you forgot to put the degree sign on 180, that's why you got it wrong!
is the inequality always, sometimes, or never true?
2(x + 6) < 30
Answer:
x< 9
Step-by-step explanation:
I'm not sure if it's right but I think it is .
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?
What is the value of x?
-7.5 (x-3)=3.75
Answer:
x= 2.5
Step-by-step explanation:
-7.5 (x-3) = 3.75
(divide both sides of the equation by -7.5)
x-3 = -0.5
(move the constant to the righthand side and change the sign)
x = -0.5+3
(calculate the sum)
x = 2.5
Solve for
16 – 2t = t +9
NEED HELP WORTH 100 POINTS SHOW YOUR WORK PLEASE
Answer:
Q1:
[tex]-5\sqrt{27c^2}[/tex]
[tex]-5\sqrt{27}\sqrt{c^2}[/tex]
[tex]-5\times\sqrt{9} \sqrt{3} \sqrt{c^2}[/tex]
[tex]-5\times3\sqrt{3}\sqrt{c^2}[/tex]
[tex]-5\times3\sqrt{3}c[/tex]
[tex]-15\sqrt{3}c[/tex]
Q2:
[tex]5\sqrt{72}-3\sqrt{32}[/tex]
[tex]5\sqrt{36} \sqrt{2} -3\sqrt{16} \sqrt{2}[/tex]
[tex]5\times6\sqrt{2}-3\times4\sqrt{2}[/tex]
[tex]30\sqrt{2}-12\sqrt{2}[/tex]
[tex]18\sqrt{2}[/tex]
Q3:
[tex]\sqrt{108yz}+3\sqrt{98yz}+2\sqrt{75yz}[/tex]
[tex]\sqrt{36} \sqrt{3} \sqrt{yz} +3\sqrt{49} \sqrt{2} \sqrt{yz} +2\sqrt{25} \sqrt{3} \sqrt{yz}[/tex]
[tex]6\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}+10\sqrt{3}\sqrt{yz}[/tex]
[tex]16\sqrt{3}\sqrt{yz}+21\sqrt{2}\sqrt{yz}[/tex]
Q4:
[tex]\sqrt{15n^2}\sqrt{10n^3}[/tex]
[tex]\sqrt{15}n\sqrt{10n^3}[/tex]
[tex]\sqrt{15}n\sqrt{10}\sqrt{n^2}\sqrt{n}[/tex]
[tex]\sqrt{15}\sqrt{10}n^2\sqrt{n}[/tex]
[tex]\sqrt{5}\sqrt{3}\sqrt{5}\sqrt{2}n^2\sqrt{n}[/tex]
[tex]5\sqrt{3}\sqrt{2}n^2\sqrt{n}[/tex]
[tex]5\sqrt{6}n^2\sqrt{n}[/tex]
Q5:
[tex]\frac{\sqrt{3x^2y^3}}{4\sqrt{5xy^3}}[/tex]
[tex]\frac{\sqrt{3}xy\sqrt{y}}{4\sqrt{5}y\sqrt{x}\sqrt{y}}[/tex]
Cancel off [tex]\sqrt{x}[/tex]:
[tex]\frac{\sqrt{3}y\sqrt{x}\sqrt{y}}{4\sqrt{5}y\sqrt{y}}[/tex]
Cancel off [tex]y:[/tex]
[tex]\frac{\sqrt{3}\sqrt{x}\sqrt{y}}{4\sqrt{5}\sqrt{y}}[/tex]
Cancel off [tex]\sqrt{y} :[/tex]
[tex]\frac{\sqrt{3}\sqrt{x}}{4\sqrt{5}}[/tex]
Multiply [tex]\sqrt{5}[/tex] on the numerator and denominator:
[tex]\frac{\sqrt{3}\sqrt{x}\sqrt{5}}{4\sqrt{5}\sqrt{5}}[/tex]
[tex]\frac{\sqrt{15}\sqrt{x}}{20}[/tex]
sorry i pushed add answer
Need help ASAP. Thanks!
Answer: 114
Step-by-step explanation:
To find the perimeter, you will find the distance around the shape by adding the numbers.
The is one missing side and to find that side you will subtract 10 from 38.
38 - 10 = 28
Now add the them.
28 + 5 + 10 + 26 + 10 + 35 = 114
-25 = 1/2 (10x - 2) + 3x what is x?
Answer:
x=[tex]-\frac{1+2i\sqrt{31} }{5}[/tex]
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
−25= [tex]\frac{1}{2}[/tex] (10x−2)+3x
−25=([tex]\frac{1}{2}[/tex])(10x)+( [tex]\frac{1}{2}[/tex] )(−2)+3x(Distribute)
−25=5x+−1+3x
−25=(5x+3x)+(−1)(Combine Like Terms)
−25=8x+−1
−25=8x−1
Step 2: Flip the equation.
8x−1=−25
Step 3: Add 1 to both sides.
8x−1+1=−25+1
8x=−24
Step 4: Divide both sides by 8.
8x ÷ 8 = −24 ÷ 8
10. APPLICATION Inspector 47 at the Zap battery plant
keeps a record of which AA batteries she finds defective.
Although the battery numbers at right do not make an
exact sequence, she thinks they are close to an arithmetic
sequence
a. Write a recursive formula for an arithmetic sequence
that estimates which batteries are defective. Explain
your reasoning
b. Predict the numbers of the next five defective batteries.
c. How many batteries in 100,000 will be defective?
Defective
Batteries
255, 500, 773
998, 1227, 1510,
1721, 2010
4x+2y=8 what is the y intercept
4(5x – 9) = -2(x + 7) solve and justify each step
Step-by-step explanation:
4(5x-9)=-2(x+7)
4*5x-4*9=-2*x-2*7
20x-36=-2x-14
20x+2x=-14+36
22x=22
x=22/22
x=1
It is given that 1/5<n<1/4. Write down a decimal value of n that satisfies this in equality.
Pls help me!!! Will give brainliest.
Answer:
0.20<n<0.25
Step-by-step explanation:
0.20<n<0.25
math 1 work it out please w-2+2w=6 + 5w
Answer:
w = -4
Step-by-step explanation:
w - 2 + 2w = 6 + 5w
Add 2 to both sides.
w + 2w = 8 + 5w
Subtract w from each side.
2w = 8 + 4w
Subtract 4w from each side.
-2w = 8
Divide.
w = -4
Points A, B, and C are collinear. Point B is the midpoint of AC. AB=12x-398. BC=22.
Solve for x. *
Answer:
x = 35Step-by-step explanation:
Collinear points A, B, and C and point B being midpoint of AC means:
AB = BC
12x - 398 = 22
+ 398 + 398
12x = 420
÷12 ÷12
x = 35
Frank needs to fill juice cups for his sis there r 35 cups amd it holds 12 fluid ounces. The juice came in a 1 gallon bottle how many 1 gallon bottles of juice will he need to purchase?
Answer:
4 gallons
Step-by-step explanation:
He needs 105 over 3 to fill all the cups. 1 gallon would be 10 and 2 third cups or 32 over 3. 2 gallons would be 21 and 1 third cups or 64 over 3. 3 gallons would be 32 or 96 over 3. 4 gallons would be 42 and 2 third cups or 128 over 3. So 4 gallons would fill up all 35 of his sisters 12 ounces cups. That would leave 7 and 2 third cups that hold the same amount. His sister gets all 35 of her 12 ounces each cups filled and he gets 7 and 2 thirds of new and unused 12 ounces cups. Basically out of the 4 gallons there would be 512 ounces and his sister with all 35 cups that hold 12 ounces each she would get 420 ounces. Which would leave him with 92 ounces of juice for himself. Hope this understandable and helpful.
Evaluate 12 - 6+ (14 – 8)^2=
. (1 point)
Answer:
the answer is 42
Step-by-step explanation:
12-6+(14-8)^2
12-6(6)^2
12-6+36
=42
2 x 10-6
times what number is equal to 6 x 10-4
Answer:
times -6
Explanation... 2 x 10-6 x -6=56
6 x 10-4=56
Hope this helps
Whoever has the best answer I will mark the brainliest.
Answer: 3,4,5,6,52,72,86,105
Step-by-step explanation: when solving the range you find the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
10 - 3x < 16
Can y’all help me pls
Answer:
x>-2
Step-by-step explanation:
first you subtract 10 from both sides to find x
10-3x-10<16-10
-3x<6
now here you divide both sides by -3
-3x/-3<6/-3
BUT since you are dividing by a negative number the sign will have to flip
so the answer will be
x>-2
Please help me to prove this!!!
Answer: see proof below
Step-by-step explanation:
Given: A + B + C = π → A + B = π - C
→ A + C = π - B
Use the Cofunction Identities: sin (π - A) = sin A
sin (A - π/2) = cos A
cos (π/2 - A) = - sin A
Use the Power Reducing Identity: sin ² A - sin² B = sin (A + B) · sin (A - B)
Use the Sum to Product Identity:
sin A - sin B = 2 [cos (A + B)/2] · [sin (A - B)/2]
Proof LHS → RHS:
LHS: sin² A - sin² B - sin² C
= (sin² A - sin² B) - sin² C
Power Reducing: sin (A + B) · sin (A - B) - sin² C
Given: sin (π - C) · sin (A - B) - sin² C
Cofunction: sin C · sin (A - B) - sin² C
Factor: sin C [sin (A - B) - sin C]
[tex]\text{Sum to Product:}\qquad \sin C\bigg[2\cos \bigg(\dfrac{(A-B)+C}{2}\bigg)\cdot \sin \bigg(\dfrac{(A-B)-C}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{(A+C)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(B+C)}{2}\bigg)\bigg][/tex]
[tex]\text{Given:}\qquad \qquad 2\sin C\bigg[\cos \bigg(\dfrac{(\pi - B)-B}{2}\bigg)\cdot \sin \bigg(\dfrac{A-(\pi - A)}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi -2B}{2}\bigg)\cdot \sin \bigg(\dfrac{2A-\pi}{2}\bigg)\bigg]\\\\\\.\qquad \qquad \qquad =2\sin C\bigg[\cos \bigg(\dfrac{\pi}{2} -B}\bigg)\cdot \sin \bigg(A-\dfrac{\pi}{2}\bigg)\bigg][/tex]
Cofunction: 2 sin C (-sin B) · (cos A)
= -2 sin C · sin B · cos A
= -2 cos A · sin B · sin C
LHS = RHS: -2 cos A · sin B · sin C = -2 cos A · sin B · sin C [tex]\checkmark[/tex]
Could someone help me out, I’m not sure how to do these :,)
Answer:
1.) Reflection over y=1
2.) Translation rule: (x-5, y-3)
3.) Reflection over the y axis
4.)Translation rule: (x-4, y+1)
Step-by-step explanation:
find the initial value seventeen years from now, Ms. speedis car, which is depreciating at 20% per year, will be worth $500
Answer:
Around 22200 dollars
Step-by-step explanation:
Firstly, it was depreciating 20% per year for 17 years. So, if we were to go back in time, it would be appreciating by 25%. Therefore, after doing the plugging in, it is 500 * 1.25^17. The initial value is around 22200. It is around 22204, to be exact.