Answer:
54×3
27×6
(10^2)+31×2
I hope this helps
Help!! Find the values of y and z.
Answer:
y=30, x=10
Step-by-step explanation:
[tex]3y=90 (angle in a semi circle),\\y=\frac{90}{3} =30,\\50+4x=90 ,\\4x=90-50=40,\\x=\frac{40}{4} = 10 , }[/tex]
Help please please help help me!!!!
Answer:
I got 126.12 in my notes
Step-by-step explanation:
To build a handicapped-access ramp, the building code
states that for every 1 inch of vertical rise in height, the
ramp must extend out 12 inches horizontally, as shown in
the diagram below.
*Show solving work on the sketch pad!*
(a) Set up your trig equation (before solving below):
(2 points)
hyp
1 opp
12
adj
Submit
(b) What is the angle of inclination, x, of this ramp, to the
nearest hundredth of a degree? (2 points)
85.22
4.76
85.24
4.78
Answer:4.76
Step-by-step explanation:
tan 0= opposite side/adjacent side
tan x = 1/12
x =tan-1 (1/12)
~~ 4.76 degrees
The angle of inclination x of this ramp is 4.76 degrees.
What is a right-angle triangle?'A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.'
According to the given problem,
Perpendicular = 1 inch
Base = 12 inches
Angle of inclination = x
We know,
tan (x) = [tex]\frac{Perpendicular}{Base}[/tex]
⇒ tan(x) = [tex]\frac{1}{12}[/tex]
⇒ x = [tex]tan^{-1} \frac{1}{12}[/tex]
⇒ x = 4.76 degrees.
Hence, we can conclude, the angle of inclination is 4.76 degrees.
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3. A bank is offering 4.5% simple interest on a savings account. If you deposit $8,000, how much interest will you earn in five years? (2 Points) A. $260 B. $720 C. $1,800 D. $3,600
Answer:
Answer c 1,800
Step-by-step explanation:
The total interest at the rate of 4.5% interest of the amount of $8000 will be $1800 hence option (C) will be correct.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.
Given that
Principle amount (P) = $8000
Rate of interest (R) = 4.5%
Time period (T) = 5 years.
The interest in the T time period has been given by
Total interest = PRT/100
So,
Total interest = 8000×4.5×5/100 = 1800
So total interest of the given amount will be $1800.
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HELP I NEED AN ANSWER!!
Answer:
[tex]1)2 ~real ~ solutions[/tex]
[tex]2) 0 ~ real ~solutions[/tex]
[tex]3) 1~real ~solutions[/tex]
Step-by-step explanation:.
[tex]1) x^2+y^2=17[/tex]
[tex]y=-1/2x[/tex]
[tex]x^2+1/4x^2=17[/tex]
[tex]4x^2+x^2=68[/tex]
[tex]5x^2=68[/tex]
[tex]x^2=68[/tex]
[tex]x=[/tex] ± [tex]\sqrt{68/5}[/tex]
----------------------
[tex]2) y=x^2-7x+10[/tex]
[tex]y=-6x+5[/tex]
[tex]-6x+5=x2-7x+10[/tex]
[tex]x^2-x+5=0[/tex]
[tex]a=1[/tex]
[tex]b=-1[/tex]
[tex]c=5[/tex]
[tex]D=b^2-4ac[/tex]
[tex]=1-20[/tex]
[tex]=-19[/tex]
[tex]\sqrt{0} =\sqrt{-19}[/tex]
---------------------
[tex]3) y=-2x^2+19[/tex]
[tex]8x-y=-17[/tex]
[tex]8x+2x^2-9=-17[/tex]
[tex]8x+2x^2+8=0[/tex]
[tex]4x+x^2+4=0[/tex]
[tex]x^2+4x+4=0[/tex]
[tex]x^2+2x+2x+4=0[/tex]
[tex]x(x+2)+2(x+2)=0[/tex]
[tex](x+2)(x+2)^2=0[/tex]
[tex](x+2)^2=0[/tex]
[tex]x=-2[/tex]
------------------------------
hope it helps...
have a great day!!!
Find the surface area of the regular pyramid.
20 mm
16 mm
Area of base
is 440.4 mm?
mm2
How many liters of air are in a room that measures 11. 0ft×11. 0ft and has an 8. 00 ft ceiling? 1in. =2. 54cm (exactly); 1L=103cm3
The volume of air present in the room is 27410.7075 lt .
What is Volume ?The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to imagine in any shape, yet it may be compared amongst shapes. For instance, a compass box has a larger volume than an eraser placed inside of it. We split the area into equal square units to get the area of any two-dimensional form. Similar to this, we shall split the volume of solid objects into equal cubical units while calculating it. In the part after this one, let's examine how to determine the volume of various solid forms.
The dimension of the room is 11*11*8 in feet.
so, 11 ft = 11 *2.54*12 = 335.28 cm
And, 8 ft = 8 *2.54*12 = 243.84 cm
Volume of the room is = 335.28 * 335.28 * 243.84 = 27410707.5 [tex]cm\x^{3}[/tex]
In litre,
27410707.5 [tex]cm\x^{3}[/tex] = 27410707.5/1000 = 27410.7075 lt.
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A rectangle has a perimeter of 16 centimeters. The lengths of the sides of the rectangle are between 1 centimeter and 7 centimeters. If x represents the length of a side of the rectangle, then the rectangle's area is represented by x(8-x) square centimeters. Suppose a square is constructed to have the same area as this rectangle. The length of a side of the square is represented by centimeters. What is the range of possible perimeters of the square? Round answers to the nearest hundredth of a centimeter.
The range of possible perimeters of the square=10.583
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
here, we have,
A rectangle has a perimeter of 16 centimeters.
The lengths of the sides of the rectangle are between 1 centimeter and 7 centimeters.
let, x represents the length of a side of the rectangle,
then the rectangle's area is represented by x(8-x) square centimeters.
i.e. area of square = 8x-x^2
the side = √x(8-x)
perimeter= 4×√x(8-x)
Hence, the range of possible perimeters of the square=10.583
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help me plsplsplspslpslpslpslspls
Answer:
just ask your teacher
Step-by-step explanation:
maybe she can help lol
Is the following relation a function?
Answer:
no
Step-by-step explanation:
It doen't pass the vertical line test
Give brainliest please
Answer:
No.
Step-by-step explanation:
Because two different inputs have the same output.
What is the value of y?
A. 83
B. 89
C. 96
D. 97
Answer:
A. 83 is the correct option.
Step-by-step explanation:
all angles of a triangle are always equal to 180.
46 + 51 + y = 180
97 + y = 180
180 - 97 = 83
Have a nice day! :-)
Brainlist please help
Answer:
176.625
Step-by-step explanation:
Answer correctly for brainliest (8th grade math)
eat a peppermint it will stimulate your small brain
What’s the 2+2-7 pls I help thx
Answer:
-3
Step-by-step explanation:
2 + 2 - 7
\ /
4 - 7
\ /
-3
Answer:
-3
Step-by-step explanation:
Follow P.E.M.D.A.S from left to right.
1. A: 2+2=4
2. S: 4-7=-3
Which expression is the best estimate of the product 7/8 8 1/18
Answer:
7/8 is nearly 1, and 8 1/10 is obviously 8.1 (1/10), which is rounded to 8. So th expression that best estimates the products of those numbers is D, 1 * 8.
Step-by-step explanation:hope this helped
Given that a 19. 00 g milk chocolate bar contains 11. 50 g of sugar, calculate the percentage of sugar present in 19. 00 g of milk chocolate bar keeping in mind that the answer should have four significant figures (two decimal places). Express your answer numerically to four significant figures
The percentage sugar of 19. 00 g milk chocolate bar is 60.53%. The value of 60.53 is rounded to two decimal points.
What does mean of two decimal points?
To make decimal values simpler to grasp and utilise in calculations, they are frequently rounded off. The second place to the right of the decimal point, or the hundredths place, is used to round a decimal value to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70. If you look closely, you'll see that we changed 2.83 to 2.84 by adding a single digit to the first number's hundredths position. However, we did not add 1 to the digit at the hundredths place of the second integer (i.e 0).
Given that a chocolate bar with a weight 19.00 gram milk, contains 11. 50 g of sugar.
To find the percentage, we will calculate the amount of suger in 100 gram of chocolate bar in the same ratio..
19.00 gram milk chocolate bar contains 11. 50 g of sugar.
Apply unitary method:
1 gram milk chocolate bar contains 11. 50/19 g of sugar.
100 gram milk chocolate bar contains (11. 50/19) × 100 g of sugar.
= 60.526
The digit at the thousandth place of the number 60.526 is 6 which is more than 5. thus add 1 with the hundredth place digit to round to two decimal places.
60.526 ≈ 60.53
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BRAINLIEST FOR THIS QUESTION
A shop sells orange juice in the following ways: 500 ml bottle for £1.40 2 litre carton for £2.50 each or 2 cartons for £4.50 3 litre carton for £3.50 What's the cheapest way of buying exactly 7 litres with no extra? Find the amount of each type of bottle or carton you need and the total cost of buying 7 litres.
The cheapest way of buying exactly 7 litres with no extra is buying 500 ml bottle for £1.40
The amount of buying 7 litres of orange juice at the cheapest buy is £2.52
What is the cheapest buy?500 ml bottle for £1.40
Convert ml to liters:
500 ml = 0.5 liters
Unit rate = 0.5/1.40
= £0.36 per liter
2 litre carton for £2.50
Unit rate = 2/2.50
= £0.8 per liter
2 cartons for £4.50
Unit rate = 2/4.50
= $0.44 per carton
3 litre carton for £3.50
Unit rate = 3 / 3.50
= £0.86 per liter
The cheapest buy per liter of the orange juice is buying 500 ml bottle for £1.40.
Therefore, the cost of 7 liters at the cheapest buy
= £0.36 per liter × 7
= £2.52
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I need help on this problem will give Brainlist if right!
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
all interior angles add up to 180 and exterior add up to 360 so if u do 115+115=230, 360-230=130, 130÷2=65, 65 is the other interior angle then u add the two interior angles and subtract from 180
The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).
1. one real
2. one imaginary
3. two imaginary
4. no real or imaginary
Answer:
one real
Answer: 1
Step-by-step explanation:
Givens
a = 1
b = -4
c = 4
Discriminate
Discriminate = sqrt(b^2 - 4*a*c)
Discriminate = sqrt( (-4)^2 - 4 * (1)(4) )
Discriminate = sqrt ( 16 - 16)
Discriminate = sqrt(0)
Discriminate = 0
That means the 1 real root is - b / 2a = 4/(2*1) = - -2 = 2
PLEASE PLEASE HELP ME I DONT UNDERSTAND THIS SUBJECT PLESASE!!!!!!!!!!!!!!
Lyle borrowed $3,000 from the bank at a simple interest rate of 5.5%. The total amount Lyle paid the bank was $3,495. What was the amount of time Lyle had the loan?
____ years
Answer:
3
Step-by-step explanation:
Answer:
i belive those are the ones that are under 90 persent
Step-by-step explanation:
What is the size of the augmented matrix for the linear system?
The augmented matrix, however, is a two-by-four matrix because it also contains the constants.
What do you meant by augmented matrix for the linear system?The augmented matrix will always include one additional column for every additional variable, and the same number of rows as there are equations. An easier technique to write a set of linear equations is to utilize enhanced matrices.
In an augmented matrix, two sides of the matrix are separated by a vertical line that serves as a representation of a succession of equal signs. The collection of linear equations, for instance, would be represented by the matrix. There is only ever one pivot in a column.
For (c): Three rows and four columns make up the augmented matrix of this system. As a result, it only has three pivot points at most. Thus, a pivot column cannot be represented by a single variable.
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Answer:
What is the size of the augmented matrix for the linear system?
B) 2x3
Identify the values for the elements in the augmented matrix:
a11 = 3
a12 = 7
a13 = 20
a21 = 1
a22 = -4
a23 = 9
Step-by-step explanation:
What is the square number of 5?
a) 125
b) 16
c) 10
d) 5
Answer:
25 is your answer .
hope it is helpful to you
Answer:
25 is the correct answer
Hope it helps you have a good day ☺
help me pleaseeee
dont put any links or files because im not opening it
Answer:
According to be for the first one it would be: Nonlinear, and the second one would be: Show no pattern
Hope this helps!
s² - 2st =
s=5 and t= -1
Answer:
27
Step-by-step explanation:
s = 5
t = - 1
s² - 2st
= 5² - 2 ( 1 ) ( - 1 )
= 25 - ( - 2 )
= 25 + 2
= 27
15 A manufacturer needs 51 pounds of plums to make 27
quarts of prune juice. How many pounds of plums
would the manufacturer need to make 18 quarts of prune
juice?
Answer:
34 pounds
Step-by-step explanation:
51 pounds of plum = 27 quarts
x pounds of plum = 18 quarts
(cross multiply)
27x = 918
divide both sides by 27
x=34 pounds
2x - 3y = -7
y = 2x + 9
Please help me solve this step by step!! I believe this is substitution btw
The area of a circle is 497 cm2. What is the circumference, in centimeters? Express
your answer in terms of .
FE
Answer:
14π
Step-by-step explanation:
Area πr^2= 49π sq cm
so r= 7 cm
perimeter= 2πr= 14π
find the zeros of the function !! g(x)=(x-2)(3x+3) lesser x= ?
greater x= ?
Answer:
Step-by-step explanation:
Rewrite this function as g(x) = 3(x + 1)(x - 2)
Set each factor equal to zero in turn, solving for x each time:
x + 1 => x = -1 (the lesser zero)
x - 2 => x = 2 (the greater zero)
Answer:
lesser x =-1
greater x =2
Step-by-step explanation:
khan verified
Please help! This question is really confusing me!
Answer:
The area is the square unit.
Let the scale factor is k.
The unit circle has area of π.
Similar circle is k times the unit circle.
r₂/ r₁ = kThe ratio of areas is the square of the scale factor:
A₂/A₁ = k²If the scale factor is r, then the area of the circle with radius of r is:
A₂ = A₁k² = A₁r²Since A₁ = π, the area of A₂ is:
A₂ = π*r² = πr²Please help me! Sorry if the image is blurry.
Answer:
B) 27
Step-by-step explanation:
(-3,27)
(-1,19)
(0,15)
(2,7)