Answer:
The volume of the metal is:
[tex]V_{t}=548\: cm^{3}[/tex]
Step-by-step explanation:
First, let's find the volume of the front face of the square:
[tex]V_{1}=12*7*1=84\: cm^{3}[/tex]
The back face is the same, so we have:
[tex]V_{2}=84\: cm^{3}[/tex]
The volume of the side faces will be:
[tex]V_{3}=7*10*1=70\: cm^{3}[/tex]
[tex]V_{4}=70\: cm^{3}[/tex]
And finally, the volume of the top and bottom side faces of the box will be:
[tex]V_{5}=12*10*1=120\: cm^{3}[/tex]
[tex]V_{6}=120\: cm^{3}[/tex]
The total volume of the metal will be:
[tex]V_{t}=V_{1}+V_{2}+V_{3}+V_{4}+V_{5}+V_{6}[/tex]
[tex]V_{t}=2(84)+2(70)+2(120)[/tex]
[tex]V_{t}=548\: cm^{3}[/tex]
I hope it helps you!
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the other.
Answer:
12 km/h and 10 km/hStep-by-step explanation:
Let the speed of Masha = s, speed of Dasha = d
Distance = 20 kmTime difference = 20 min = 1/3 hrSpeed difference = 2 km/hAs per above info we get following equations:
s = d + 220/s + 1/3 = 20/dSubstitute s and solve for d:
20/(d + 2) + 1/3 = 20/dGet rid of fraction by multiplying all terms by 3d(d + 2):
60d + d(d + 2) = 60(d + 2)60d + d² + 2d = 60d + 120d² + 2d = 120d² + 2d + 1 = 121(d + 1)² = 11²d + 1 = 11d = 10Find s:
s = 10 + 2 = 12The answer is
Masha's speed 12 km/h and Dasha's speed 10 km/hAdd the polynomials.
(3x² - 7x+2) + (7x2 - 6x)
Answer:
If by the 7x2 you mean 7x² it will be
10x²-13x+2
There is 3/4 of a pizza. 1/3 of the pizza has pepperoni on it. How much
of the pizzas has pepperoni on it?
Answer:
4/12
Step-by-step explanation:
According to this partial W-2 form, how much money was paid in FICA taxes?
A)$497.13
B)$2622.80
C)$5639.88
D)$7268.42
Answer:
2622.80
Step-by-step explanation:
I just took the test and made a 100%
y = 5x - 1
10x - 2y = 2
Answer:
0 = 0 => Infinitely many solutions
Step-by-step explanation:
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply.
Answer:On a Road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?
Step-by-step explanation:
math is extremely confusing
Answer;;;;
explained
what is this question??
Answer:
5.1* 10-¹
Hope it helps thank you
Answer:
5.1 x 10^-1
Step-by-step explanation:
Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.
Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.
help me pls ❤️❤️❤️ ty to the person who decides to help ❤️
Answer:
8/5
Step-by-step explanation:
this is a slope formula which formats y=mx+b
m being the slope
and b being the y-intercept
so no need to look far, and no need to solve anything but 8/5 would be your y-intercept
:)) have a great day!
2m + 56 = –2m
full answer no word
Expression 3x²+4x-5
x=0
Answer:
x = {1/3, 0}
Step-by-step explanation:
The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
Write the formula of the function, where x is entered in radians.
f(x)= ?
Answer:
f(x)=-5sin (1/3x)-2
Step-by-step explanation:
The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
What is Sinusoidal function?A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function
Given,
Midline is at (0,-2)
minimum point at [tex](\frac{3\pi }{2},-7)[/tex]
Therefore, the function is line with amplitude = -2-(-7)=5
No phase shift as intersection at 0.
Vertical shift is -2
Then,
f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Learn more about Sinusoidal function here
https://brainly.com/question/12060967
#SPJ2
What is AC for brainliest
•Triangle 1
#Find CD first use tan formula
tan(∅) = opposite / adjuscent
tan(45) = CD / 5
CD = 5 × tan(45)
CD = 5
•Triangle 2
#Now you can find AC use Pythagoras theorem (c = AC)
a² + b² = c²
4² + 5² = c²
16 + 25 = c²
41 = c²
c = √41
c = 6.4
so, AC is 6.4
#Give me brainliest ok? im tired writing all of this
Please help me. Thank you so much
Answer:
x = 10
Step-by-step explanation:
Helpppppppppppppppppppppp
Answer:
20
Step-by-step explanation:
(2x)° + (2x)° + (6x - 20)° = 180°
10x = 200
x = 20
Mr Todd buys 7 drinks at 48p each and 8 drinks at 52p each. What is the total cost of the 15 drinks?
Answer:
80p
if you are adding 4p every time you add a drink you will be adding 7 drinks therefore you have to do (7x4p) this will equal 28p then you have to add 28p to 52p
Hope this helps
please help. due today
Answer:
x=3
Step-by-step explanation:
The problem can be re-written as :
[tex] \sqrt{3^{x} } \div \sqrt{3} = 3[/tex]
This is because x to the power of 1/2 is the same as the square of x.
multiply both sides by sqrt3
[tex] \sqrt{3^{x} } = 3 \sqrt{3} [/tex]
square both sides
[tex]3 ^{x} = (3)^{2} ( \sqrt{3} )^{2} [/tex]
simplify
[tex]3 ^{x} = 9 \times 3[/tex]
3 to the power of x is equal to 27
3 cubed (to the power of 3) is 27
so x is equal to 3.
hope i helped, and good luck :)
Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups
Answer:
10 cups
Step-by-step explanation:
4x2=8. 8+ the 2 cups in the beginning would be 10 cups.
Six friends share 3/4 of a pound of roasted almonds. What fraction of a pound does each friend receive
Answer: 1/8 pounds of roasted almonds
Step-by-step explanation:
There are six friends and each of them are to receive and equal piece out of a 3/4 pound of roasted almonds.
The almonds each friend will get will therefore be the 3/4 pack divided by 6:
= 3/4 ÷ 6
= 3/4 * 1/6
= 3/24
= 1/8 pounds of roasted almonds
When dividing by a number, you can instead multiply by the inverse of that number.
What is 6q+4-q+5 equals tooo PLEASE I REALLY NEED HELP THIS IS DUE TODAYY
Answer:
5q+9
Step-by-step explanation:
1. combine like terms
6q-q=5q and 4+5=9
2. combine those two
5q+9
Do -2,28 and 0,15 have a slope of -6
8.5×7/2 ____
please
The triangles are similar. Find the missing side.*
- 36
- 25
- 29
Step-by-step explanation:
[tex] \frac{30}{6} = \frac{x}{5} \\ x = 25[/tex]
La probabilidad de que al tirar un dado, salga 1, es de 1/6. La probabilidad de que salga 3, es de 1/6. Calcular la probabilidad de que al tirar un dado, salga 1 o 3.
Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.
El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.
how to solve for x???
Answer:
B) [tex]10\sqrt{3}[/tex]
Step-by-step explanation:
So basically it's divided into 3 similar triangles and using ratios we can try to find x
long side/short side = long side/short side
(20)/(x) = (x)/(15)
[tex]x^{2}[/tex] = 300
x = [tex]10\sqrt{3}[/tex]
I really hope I didn't make that too complicated-
isabella earned $44.00 for 4 hours of work how much was earned per hour
Answer:
$11
Step-by-step explanation:
44/4 = 11
Answer:
11 was earned per hour
Step-by-step explanation:
44 divided by 4 is 11
3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP
Answer:
Step-by-step explanation:
90(5/6)
450/6
75
9514 1404 393
Answer:
75
Step-by-step explanation:
90 = 6 × 15
There are 15 6-day periods in 90 days. The gardener will have mowed ...
15 × 5 = 75
times in those 15 periods.
He will mow 75 times in a 90-day period.
__
If you like, you can set up a proportion for the unknown number of mowings (m).
mows/days = m/90 = 5/6
Multiply by 90 to solve for m.
m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above
Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.
Answer:
You would receive $510.08 in return.
Step-by-step explanation:
In order to find the answer, you can use the formula to calculate the future value:
FV=PV*(1+i)^n
FV=future value
PV= present value= 500
i= interest rate=0.03/12=0.0025 per month
n= number of periods of time= 8
Now, you can replace the values in the formula:
FV=500*(1+0.0025)^8
FV=500*(1.0025)^8
FV=510.08
According to this, the answer is that you would receive $510.08 in return.
Answer:
I think it is $15
Step-by-step explanation:
Taking the test now.
30 POINTS PLEASE HELP!!!
The ratio of two sides of a parallelogram is 3:4 and the perimeter is 28 in. Find the lengths of the sides of the parallelogram.
Answer:
the lengths of sides are 8 and 6.
Step-by-step explanation:
Let us denote side lengths of the parallelogram as x and y.
Then first condition can be written as x/y=3/4.
Second condition can be written as 2x+2y=28.
We can multiply both sides of the first equation by y and get x=(3y)/4.
Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:
2(3y/4)+2y=28
And we can solve it for y.
1.5y+2y=28
3.5y=28
y=8
What is left is to find x. We may use the expression for x again: x=(3*8)/4=6
Ans: the lengths of sides are 8 and 6.
Sue divided her garden into 12 equal sections. sue wants 1 /3 of her garden to be planted with carrots how many sections should be planted with carrots? Sue wants \frac{1}{3} of her garden to be planted with carrots. How many sections should be planted with ca
Answer:
4 sections
Step-by-step explanation:
What we know:
- There are 12 sections of the garden in total
- 1/3 will be planted with carrots
To determine the number of sections that should be planted with carrots, multiply 12 and 1/3.
[tex]12*\frac{1}{3}\\= \frac{12}{3}[/tex]
Simplify the fraction
[tex]= 4[/tex]
I hope this helps!