Answer:
x = 25
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular face and l is its length )
A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then
V = 20 × 20 = 400 cm³
The volume of the cuboid is calculated as
V = lbh = 3.2 × 5 × x = 16x
Given V = 400 cm³ , then
16x = 400 ( divide both sides by 16 )
x = 25
jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?
Answer:
the bank contains 30 nickels and 70 dimes.
Step-by-step explanation:
Solve: log2(3x + 8) = 5 Which is an equivalent equation?
Answer: 5/log (8) - 8/3
Step-by-step explanation:
Answer:
A:2^5=3x + 8 /x=8/The next part is B.x3=64 /x=4
Step-by-step explanation:
I just did it hope this helps
Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.
Answer:
38.8%
Step-by-step explanation:
Area of the triange:
6*6.5*.5= 19.5
Area of the circle:
π*16= 16π
19.5/16π= .387940174
38.8%
Answer:
38.8%
Step-by-step explanation:
hope your having a good day!
Answer:
yes im am gydyd6rrfxjdjsjwjejwhwwehebrhrhhrrhrhrhdhrhehrhehrhrhdhdhdhdhddhdgdgdhr
Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7
[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]
(a) -3 [tex]\boxed{ > }[/tex] -4
(b) 6 [tex]\boxed{ >}[/tex] -20
(c) -8 [tex]\boxed{ < }[/tex] -2
(d) 5 [tex]\boxed{ > }[/tex] -7
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]
Need help on this!!! 10 points!!!
b to the power of -3
write that as a positive exponent
explain
Answer:
1/b^3
Step-by-step explanation:
b^-3 is like writing:
1
---
b^3 since negative exponents are made into fractions
Which function has the same range as
f(x)=-2 Sqrt X-3 +8?
g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8
Answer:
C
Step-by-step explanation:
The option that has the same range than f(x) is:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
What is the range of the given function?
Here we first have the function:
[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]
Remember that the square root only can be evaluated arguments equal or larger than zero.
So the minimum value of x that we can use is x = 3.
[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]
And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.
Which other function has the same range?So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.
The option that meets these two conditions is the third one:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
If you want to learn more about domains and ranges, you can read:
https://brainly.com/question/10197594
For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.
Answer:
x = 10.7
y = 120°
Step-by-step explanation:
If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.
Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.
Thus:
✔️Find x:
22/(x + 4) = 18/12
22/(x + 4) = 3/2
Cross multiply
(x + 4)3 = 2*22
3x + 12 = 44
Subtract 12 from each side
3x = 44 - 12
3x = 32
x = 32/3
x = 10.7
✔️Find y:
y + 60° = 180° (adjacent angles are supplementary)
y = 180 - 60
y = 120°
Which data type is variable 'a' as per below code?(numeric/non-numeric) Dim a as integer a=10 for grade 7 Computer
Answer:
The answer is "numeric".
Step-by-step explanation:
The Dim keyword is used in Visual Basic which is used to establish the dependent variable and other information such as the code that the variable may access the variables, computer utilizes the statement Dim. The dimensions are brief and then used to define variables. The Dim statement is placed just after sub definition only at the start of a VBA module (short for Subroutine).The variable to hold an integer value is seen in the above example.
rotation,
glide reflection,
reflection,
translation.
Answer:
it appears to have TRANSLATED
The polynomial is missing the coefficient of the third and last terms.
8x^3 - 144x²y + _xy² - _y^3
In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.
9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3
Answer:
Volume of cone = 33.49 inch³
Step-by-step explanation:
Missing information;
Height of cone = 8 inch
Diameter of cone = 4 inch
Find:
Volume of cone
Computation:
Radius of cone = Diameter of cone / 2
Radius of cone = 4 / 2
Radius of cone = 2 inch
Volume of cone = [1/3][πr²h]
Volume of cone = [1/3][(3.14)(2)²8]
Volume of cone = [1/3][(3.14)(4)8]
Volume of cone = [1/3][(3.14)(32)]
Volume of cone = [1/3][100.48]
Volume of cone = 33.49 inch³
If Jamie's paddling pool has a diameter of 10m, what is its area in square meters?
pls help
Answer:
use app Gauthmath its will give you the answer
Answer:
100msquare (or) sq.m (diameter in a circle inscripted square is one of its side)
Step-by-step explanation:
area of squr=side*side
=10*10
=100msquare (or) sq.m
Find the distance between the two points in simplest radical form.
(-8, -2) and (-6,2)
Answer: [tex]2\sqrt{5}\\\\[/tex]
To get that answer, we apply the distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (-2-2)^2}\\\\d = \sqrt{(-8+6)^2 + (-2-2)^2}\\\\d = \sqrt{(-2)^2 + (-4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.472136\\\\[/tex]
As an alternative, you could plot the two points on the same xy grid, and then form a right triangle. Afterward, apply the pythagorean theorem and you should get the same result as shown above.
3a+5b+2c=?
a+b=15
b+c=14
5b=3b,2b
Step-by-step explanation:
please check you typing 5b = 3b, 2b
?????
Answer:
73
Step-by-step explanation:
3a + 5b + 2c = ?
Given:
a + b = 15
b + c = 14
now express in terms of b
a = 15 - b equation (i)
c = 14 - b equation (ii)
3a + 5b + 2c
substitute the values
3(15 - b) + 5b + 2(14 - b)
45 - 3b + 5b + 28 - 2b
add or subtract like terms
73 + 5b - 5b
plus 5b and minus 5b gets cancel
73
There jar of milk contains 40 litre,50 litre, and 60 litre of milk. Find the greatest capacity of vessel which can empty out each jar with the exact number of fillings
Answer:
10
Step-by-step explanation:
Do HCF of 40,50,60 and the answer is 10
he tables represent two linear functions in a system.
A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 22, negative 10, 2, 14. A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 30, negative 21, negative 12, negative 3.
What is the solution to this system?
(negative StartFraction 13 over 3 EndFraction, negative 25)
(negative StartFraction 14 over 3 EndFraction, negative 54)
(–13, –50)
(–14, –54)
Answer:
8-22 is the answer ok thanks
5 x 1/7
The question
Answer:
5/7 or 0.71 is the answer
Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of pi.
Answer:
1152\pi\
Step-by-step explanation:
Solve using the Applicable Variation
The height of a TV varies directly with its width. If a TV with a width of 16 inches has a height of 9 inches, find the width of a TV with a height of 20.25 inches.
I'm so lost :'(
Answer:
36
Step-by-step explanation:
9/16 = 20.25/?
16x20.25÷9= 36
Anyone know this answer?
Answer:
56 degrees
Step-by-step explanation:
The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.
Therefore, we have the equation:
[tex]\tan x^{\circ}=\frac{15}{10}[/tex]
To isolate [tex]x[/tex], take the inverse tangent of both sides:
[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]
Irene faced north. She turned 270 ° to the left and then 90 ° more to the left.
In what direction is Irene now facing?
How many solutions does the following equation have:
16y + 7 = -3y + 10 + 8y
Answer:
one solution only
Step-by-step explanation:
16y + 7 = -3y + 10 + 8y
16y + 3y - 8y = 10 - 7
11y = 3
y = 3/11
Which graph represents y as a function of x?
Answer:
A
Step-by-step explanation:
By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.
Question 8
A scuba diver was thirty feet below the surface of the water and ascended
thirteen and a half feet. The diver then descended an additional fifteen feet
from the surface of the water. What is the location of the diver in the water?
a.-48 feet
b.-31.5 feet
c. - 27.5 feet
X d. -28 feet
Answer:
b
Step-by-step explanation:
The scuba diver is 30 feet below, and ascend means up, so you subtract 13.5, and descend means down so you add 15. That’s how you get the answer.
Solve for X:
-2(x+2) < 14
Answer:
answer is 45 + 5 so it's 50
Answer:
-2X-4<14
-2X<18
X>9
Step-by-step explanation:
i have no clue what i’m doing
Answer:
c(x) = 16x + 22736
R(x) = -2x^2 + 524x
[ -2x^2 + 508x - 22736] = 0
Factored: f(x) = -2(x - 196)(x - 58)
58 to break even
Step-by-step explanation:
Your cost is the amount it cost you to "make" stuff.
You have fixed and variable costs (cost of oven is fixed cost of flower and sugar is variable to make cupcakes)
your cost is c(x) = 16x + 22736
"your oven and building cost $22736 per month and you use $16 worth of sugar butter flour to make one cupcake ( it must be a huge one) ...
your revenue is the amount of money that "comes into your business"...
the amount of money in the cash register.... Note: this is only money IN you still have to pay for the building, sugar flour etc.
R(x) = -2x^2 + 524x
Note: the minus and the square basically say that the more you charge the less cupcakes you will sell...
Profit is the money in minus the money out
P - R - E [ -2x^2 + 524x ] - [16x + 22736]
the break even point is where the two functions are the same
in other words where C=R or R-C=0
[ -2x^2 + 524x ] = [16x + 22736]
[ -2x^2 + 508x - 22736] = 0
Factored: f(x) = -2(x - 196)(x - 58)
Answer:
Step-by-step explanation:
C(x)=16x+22736
R(x)=-2x²+524x
P(x)=R(x)-C(x)
=-2x²+524x-16x-22736
=-2x²+508-22736
when profit is zero then no gain or loss.
so -2x²+508x-22736=0
or x²-254x+11368=0
196+58=254
196×58=11368
x²-54x-196x+11368=0
x(x-54)-196(x-54)=0
(x-54)(x-196)=0
x=54,196
so x=54 is the smallest number of bins to break even.
Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections
Answer:
(1,0)&(0,-3)
Step-by-step explanation:
might be not sure..
PLEASE HELP ME I NEED AN ANSWER ASAP!! <3
(photo included)
Answer: B.
tan 45=perpendicular/base
1=8/AB
So, AB=8
Since it's a right-angled triangle, BC is a hypotenuse.
BC=√(AC^2+AB^2)
=r√(8^2+*^2)
=8 √2