Step-by-step explanation:
The easiest way to do this is to imagine the microwave as a box. Ignore the turntables, whether or not something will spin if it touches an edge, and anything else that would make the fact that we're talking about a microwave confusing. This is a box now. :)
The capacity of our box is 1.59 ft^3, which means it can hold that much of "things" inside it. Instead of a capacity, we'll think of it as the box's total area. A tricky thing to note, is the area is given in ft, where the interior values are given as inches. So we'll need to turn the inches into feet.
To get the area of a box, we do length x width x height.
We're already given the length, 14 (inches), and the width, 14 (inches), so all we need to find now is the height (feet). To turn the lengths into feet, we'll divide them by 12, because there are 12 inches in 1 foot, or Feet = Inches / 12.
To finally turn it into math:
Area (A) = length (L) * width (W) * height (H)
[tex]A = L * W * H[/tex]
Insert known values.
[tex]1.59 = \frac{14}{12} * \frac{14}{12} * H[/tex]
Multiply.
[tex]1.59 = \frac{196H}{144}[/tex]
Simplify.
[tex]1.59 = \frac{49H}{36}[/tex]
Multiply both sides by 36.
[tex]1.59*36 = \frac{49H}{36}*36[/tex]
Simplify.
[tex]57.24 = 49H[/tex]
Divide both sides by 49.
[tex]\frac{57.24}{49} = \frac{49H}{49}[/tex]
Simplify.
[tex]1.16816326... = H[/tex]
To turn make this the nearest Tenth, we round up to the first decimal place.
Answer:
H = 1.2 ft
Statement: If two noncollinear rays join at a common endpoint, then an angle is created. Which geometry term does the statement represent?
A. Defined term
B. Postulate
C. Theorem
D. Undefined term
The statement if two noncollinear rays join at a common endpoint, then an angle is created is a DEFINED TERM.
A defined term is a sentence or expression used to define a concept, statement or confusing words.
From the question shown, we can see that a statement was created which is defined as "If two noncollinear rays join at a common endpoint, then an angle is created". This can be said to be a defined term since there are presence of keywords that made the statement meaningful and easily understandable.
Hence we can conclude that the statement is neither postulate, theorem nor an undefined term rather we can say it is a DEFINED term.
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The person above is correct defined term :)
PLS HELP ASAP NOW I REALLY NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
a=7.14yd
Step-by-step explanation:
process same as in above question
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. b BA ∩ LC = K ∆BLK ≅ ∆ ______ by _______. PLZ ANSWER FAST!!!!!!!!
Answer:
Cannot be determined.
Step-by-step explanation:
The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.
Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?
Answer:
[tex]B = 134^o[/tex]
Step-by-step explanation:
[tex]n = 6[/tex] --- sides
[tex]A = 170^o[/tex]
[tex]C = 107^o[/tex]
[tex]D = 102^o[/tex]
[tex]E = 117^o[/tex]
[tex]F = 90^o[/tex]
Required
The measure of B
The interior angles of a polygon is:
[tex]Angles = (n - 2) * 180[/tex]
So, we have:
[tex]Angles = (6 - 2) * 180[/tex]
[tex]Angles = 4 * 180[/tex]
[tex]Angles = 720^o[/tex]
The measure of B is calculated using:
[tex]A + B + C + D + E + F = 720[/tex]
Substitute known values
[tex]107 + B + 170 + 102 + 117 + 90 = 720[/tex]
Collect like terms
[tex]B + 107 + 170 + 102 + 117 + 90 = 720[/tex]
[tex]B + 586 = 720[/tex]
Collect like terms
[tex]B = 720 - 586[/tex]
[tex]B = 134^o[/tex]
3. The upward velocity of the water in a particular fountain is given in feet per second by
v = -32t + 44, where t is the number of seconds after the water leaves the fountain. While
going upward the water slows down until, at the top, the water has a velocity of zero. How long
does it take each water particle to reach its maximum height?
ll,,Step-by-step explanation:
{24a - 18b} =24a−18b I neeed help
0
(24a - 18b) = 24a - 18b
24a - 18b = 24a - 18b
collect like terms
24a - 24a = -18b + 18b
0 = 0
Today, the members of the cabinet Group of answer choices are an informal group of presidential advisers. are limited to the heads of the fifteen executive departments. include fourteen department secretaries and the attorney general, plus other top officials chosen by the president. include only the heads of the Departments of State, Justice, Defense, and Treasury, plus the heads of the EPA, CIA, and FBI. are a subset of any six executive department heads, chosen by the president.
Answer:
include fourteen department secretaries and the attorney general, plus other top officials chosen by the president.
Step-by-step explanation:
The Cabinet of the United States of America is a government body which includes the vice president along with the heads executive branch. The President of the United States in the executive head of the body.
It mainly consists of the secretaries of 14 departments as well as the attorney general and other officials who are chosen by the President of the US.
A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70. calculate the hire purchase price
Step-by-step explanation:
Marie has decided to start saving for a down payment on her home. If she puts $1,000 every quarter for five years into a GIC earning 6% compounded monthly she will have $20,979.12. She will make her first deposit three months from now.
Laroquette Holdings needs a new $10 million warehouse. Starting today the company will put aside $139,239.72 every month for five years into an annuity earning 7% compounded semi-annually.
Brenda will lease a $25,000 car at 3.9%
The required amount that is paid on hire price is $190.
Given that,
A stereo has a cash price of $850. It can be bought for a deposit of $200 and 12 monthly installments of $70.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total price = $850
Total paid = 200 + 70×12
Total paid = $1040
Total extra pay = 1040 - 850 = $190.
Thus, the required amount that is paid on hire price is $190.
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PLS HELP ME ASAP!!!!
Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?
Answer:
$19.68
Step-by-step explanation:
this is not really clearly defined.
I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.
x = what Marcia is paying
and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24
so,
x + x/2 + x/3 = 108.24
6x + 3x + 2x = 649.44
11x = 649.44
x = $59.04
Mario's part is x/3 = 59.04/3 = $19.68
A) (x-1)^3+ 3x(x-4)+2=x^3
B) x^3 +6x +12x +8=0
Answer: I'll solve A) since there is a lot of work to be shown.
Step-by-step explanation:
A)
(x−1)³+3x(x−4)+2=x³
Use binomial theorem to expand (x−1)³
x³- 3x² + 3x - 1 + 3x(x-4) + 2=x³
Use distributive property on 3x(x-4)
x³- 3x² + 3x - 1 + 3x²-12x + 2=x³
Add like terms
x³ −9x + 1 =x³
Subtract x³ from both sides.
x³ −9x +1 -x³ = 0
Add x³ and -x³
−9x+1=0
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
−9x=−1
Divide both sides by -9.
x= 1/9
Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
Answer:
Y=4X+2
Y=4X
4X/2
4*2+2=Y
Y=2
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
Luiza earned a total of 604 points playing a skee-ball game. Different points are awarded depending on which hole the ball goes through. When the ball goes in the smallest hole, it is worth 100 points. When it goes in the bigger hole, it is worth 10 points, and when it does not go in either hole, it is worth 1 point.
Which combination could be how Luiza earned her 604 points?
4 balls in the bigger hole, and 6 balls in neither hole
4 balls in the smallest hole, and 6 balls in neither hole
4 balls in neither hole, and 6 balls in the smallest hole
4 balls in the bigger hole and 6 balls in the smallest hole
Answer:
4 balls in neither hole, and 6 balls in the smallest hole
Step-by-step explanation:
4 balls in the bigger hole, and 6 balls in neither hole
4(10) + 6(1) = 46
4 balls in the smallest hole, and 6 balls in neither hole
4*100 + 6(1) = 406
4 balls in neither hole, and 6 balls in the smallest hole
4(1) + 6(100) = 604
4 balls in the bigger hole and 6 balls in the smallest hole
4(10)+6(100) = 640
Which is the right answer?
Answer:
b the answer
Step-by-step explanation:
HELP.... please??????????????
Answers:
Functions
y = -x+11y = 2x^2-6x+4y = -7Not functions
x = 3x^2+y^2 = 81y^2 = -5x-12=======================================================
Explanation:
A function is possible if and only if any given x input leads to exactly one y output.
For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would not be a function. We would need x to pair with only y value to have it be a function.
We have the same thing going on with y^2 = -5x-12 as well.
For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.
-----------------
In summary, we have these three non-functions:
x = 3x^2+y^2 = 81y^2 = -5x-12Everything else is a function. You can use the vertical line test as a visual way to check.
Express 12 000 iin standard form?
Answer:
the answer will be
1.2x10⁴
hope it helps
Answer:
We have been provided the number, 3430000. Therefore, the standard form is, 3430000=3.43×106, here, we have moved 6 places to the left. Hence, the standard form of 3430000 is 3.43×106. Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form.
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!!!
THANK YOUUUUU
Answer:
575sq. ft
Step-by-step explanation:
The diagram given can be divided into two rectangles.
Area of a rectangle = length * width
Area of the larger rectangle = 15 * (45 - 10)
Area of the larger rectangle = 15 * 35
Area of the larger rectangle = 525sq. ft
Area of the smaller rectangle = 5 * 10
Area of the smaller rectangle = 50 sq. ft
Area of the room = 525 + 50
Area of the room = 575sq. ft
Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them
Answer:
Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)
Step-by-step explanation:
Using a cosine function, where time is measured in hours past high
tide: y=4cos30x + 10
Using a cosine function, where time is measured in hours past low
tide: y = 4cos[30(x-6)]+10
quadrilateral abcd is symmetric with respect to the y axis. the coordinates of point a are (-2,2), and the coordinates of point c are (2, 1). if b is in the first quadrant, what are the coordinates of b?
Answer:
The coordinate of b = (2, 2)
Step-by-step explanation:
The details of the quadrilateral abcd are;
The quadrilateral is symmetric about the y-axis (the line x = 0)
The coordinates of the vertices are; a(-2, 2), c(2, 1)
The location of the vertex, b = The first quadrant
We have;
The line [tex]\overline {ab}[/tex] is perpendicular to the line [tex]\overline {bc}[/tex]
Let (x, y) represent the coordinate of the vertex b, we have;
(y - 2)/(x - (-2)) = (y - 2)/(x + 2) = -1/(y - 1)/(x - 2) = - (x - 2)/(y - 1)
(y - 2)·(y - 1) = -(x + 2)·(x - 2)
y² + x² - 3·y - 2 = 0...(1)
y² + x² = 3·y + 2
Also we have;
(y - 2)² + (x - 1)² + (y - 2)² + (x - (-2))² = (2 - 1)² + (2 - (-2))² = 17
Therefore;
2·y² + 2·x² - 8·y + 2·x + 13 = 17
2·(3·y + 2) - 8·y + 2·x + 13 = 17
Using an online tool, we have;
x = y
From equation (1), we have;
2·y² - 3·y - 2 = 0
∴ y = 2, or y = -1/2
Where y = 2, we have;
x = y = 2
Therefore, the point b = (2, 2).
Help Pls if you want!!!!
Answer:
Its 2.5 percent ladd enjoy
Step-by-step explanation:
Answer:
2 per team and 2 left
Step-by-step explanation:
10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.
4*2 = 8
10-8 = 2
Solve the inequality 8 + n > 4.
Answer:
n>-4
Step-by-step explanation:
8+n>4
n>4-8
n>-4
Answer:
-4
Step-by-step explanation
Subtract 8 from 4 to get -4.
N = -4
God Bless.
im stuck between B and D please help
Answer:
maybe it's D ( not sure tho)
Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)
Answer/Step-by-step explanation:
✔️Volume of right cylinder = πr²h
Where,
π = 3.14
radius (r) = 4 cm
height (h) = 3 cm
Plug in the values into the formula
Volume of cylinder = 3.14*4²*3
= 150.72 cu cm
✔️Volume of cone = ⅓πr²h
Where,
π = 3.14
radius (r) = 5 cm
height (h) = 12 cm
Plug in the values into the formula
Volume of cylinder = ⅓*3.14*5²*12
= 314 cu cm
✔️Volume of pyramid = ⅓*Bh
Where,
Base area (B) = 16 cm²
height (h) = 30 cm
Substitute
Volume of pyramid = ⅓*16*30
= 160 cu cm
✔️Volume of square pyramid = ⅓*s²*h
Where,
Length of square base (s) = 3 cm
Height (h) = 16 cm
Substitute
Volume of square pyramid = ⅓*3²*16
= 48 cu cm
b) If x² + 11x +k can be factored then the one value of k could be
(pls answer me?)
using the format that
b²=4ac
where b=11 a=1 c=k
(11)²=4×1×k
121=4k
k=30.25
Answer:
10, 18, 24, 28, 30
Step-by-step explanation:
Using the sum product pattern you find all numbers with factors that add up to 11. hope this helps :)
Evaluate the expression when a=-6.
a^2 + 5a - 5
Answer:
61
Step-by-step explanation:
(6)^2+5(6)-5
=36+30-5
=61
Answer:
1
Step-by-step explanation:
[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]
there are unspecified number of cows and hens in a den. if there are total of 30 heads and 80 legs in a den, find the number of cows and hens in a den.
Let x be the number of cow.
Number of hens=180-x.
Since cows have 4 legs and hens 2,
So, 4x+2(180-x)=420.
or, 4x+360–2x=420
or, 2x=420–360
or, 2x=60
or,x=30.
So, number of cows is 30.
Step-by-step explanation:
Hope this helps you^_^ Please mark as the brainliest.
helppppppppppppppp me
Answer:
42
Step-by-step explanation:
5²+3(2)+5+6
25+6+5+6
31+11
42
Hope it helps
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money that i have. (Hint: one is the other simplified)
Answer:
Step-by-step explanation:
Total amount in cents (unsimplified): 5N +17(10-N)
Simplified: 170-5N
Nyasia had 16 M&M’s on her desk. She had 2 groups of M&M’s
with x amount in each, and another group with 4 M&M’s. How
many M&M’s were in the identical groups?
Answer:
7
Step-by-step explanation:
total mnm 16
group 1= 4 mnm
group 2= x mnm
group 3= x mnm
group 1+ group 2+ group 3= 16
4+ x+x=16
2x= 16-4
x= 14/2
x=7
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
Step-by-step explanation:
[tex] \sin(x) = \frac{12}{13} [/tex]
The value of the trigonometric ratio are; [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].
On which triangle can we apply trigonometric ratios?Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse.
Trigonometric ratio are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle suppose its measure is θ,
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]
[tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex]
Therefore, The value of the trigonometric ratio are; [tex]\sin(x) = \dfrac{\text{12}}{\text{13}}[/tex].
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