Answer:
≈ 31.7 yd
Step-by-step explanation:
let the missing side be x , then using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 33²
x² + 81 = 1089 ( subtract 81 from both sides )
x² = 1008 ( take square root of both sides )
x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )
What is the nearest integer of cube root -12
Answer:
the cube root of -12 is -2.28942849 which is around -2
Step-by-step explanation:
This recipe makes 8 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?
Recipe: Makes 8
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 mL milk
1 egg
2 tablespoons (tbsps) oil
Answer:
If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)
135 x 3 = 405
1 x 3 = 3
2 x 3 = 6
130 x 3 = 390
1 x 3 = 3
2 x 3 = 6
So Sanjay would need the following to make 24 pancakes:
405g flour
3tsp baking powder
6tbsps sugar
390mL milk
3 eggs
6tbsps oil
Answer:
405 g flour
3 tsb baking soda
6 tbsps sugar
390 mL milk
3 eggs
6 tablespoons oil
Jill lives 3 1/2 miles from school. One morning, her friend was giving her a ride. When they were 2/3 of the way to school, their car broke down and they had to walk the rest of the way. Draw a picture to help you figure out how far they walked.
We want to find the distance that Jill and her friend must walk, we will see that the distance is (1 + 1/6) miles
So the total distance of the travel is:
(3 + 1/2) miles.
2/3 of that distance are made in the car, then the other 1/3 is the distance that they must walk. A rough sketch of the situation is shown at the end.
Then we must solve:
(1/3)*(3 + 1/2) miles = ((1/3)*3 + (1/3)*(1/2)) miles
= (1 + 1/6) miles
So the distance that they must walk is (1 + 1/6) miles
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Express the area of the entire rectangle. Your answer should be a polynomial in standard form
First,
Length of Rectangle = (x + 9) units
Breadth of Rectangle = (x + 3) units
so,
Area = (x + 9) * (x + 3)
= x² + 9x + 3x + 27
= (x² + 12x + 27) units
A fabric store is having a sale. Fleece fabric has an original price of $18 per yard. It is on sale for 30% off the original price. Find the sale price of the fleece fabric.
I seriously needed answers since I'm running out of time
Answer:the answer is 5.4
Step-by-step explanation:
thats the answer because it says per means to multiply so i'd multipled 18x 30%
Karen saw a laptop for sale in 2004.
In March 2005, the price of this laptop was reduced 20%.
In June 2005, the price of this laptop was reduced by one sixth of the March 2005 price.
Compared with the 2004 price, what percentage discount would Karen obtain by buying this laptop in June 2005?
Answer:
Step-by-step explanation:
Let X be the initial price in March 2004.
Let X' be the price for March 2005.
Let X" be the price for June 2005.
March 2005: The price was reduced by 20%. Thus, X' = 0.8X
June 2005: The price was reduced by 1/6 of the March 2005 price: Thus,
X" = X' - (1/6)X'
Substituting, we have X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (0.1333X)
X" = 0.6667X
The June 2005 price is 0.6667 of the 2004 price. That's a (1-0.6667) or 33.33% reduction.
How to take derivative of absolute value.
The absolute value function is defined as
[tex]|x| = \begin{cases}x & \text{for }x \ge 0 \\ -x & \text{for }x < 0\end{cases}[/tex]
If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.
If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.
But if x = 0, the derivative doesn't exist!
In order for the derivative of a function f(x) to exist at x = c, the limit
[tex]\displaystyle \lim_{x\to c}\frac{f(x) - f(c)}{x-c}[/tex]
must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.
If x approaches 0 from below (so x < 0), we have
[tex]\displaystyle \lim_{x\to 0^-}\frac{|x|}x = \lim_{x\to0^-}-\frac xx = -1[/tex]
whereas if x approaches 0 from above (so x > 0), we have
[tex]\displaystyle \lim_{x\to 0^+}\frac{|x|}x = \lim_{x\to0^+}\frac xx = 1[/tex]
But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.
Putting everything together, you can define the derivative of |x| as
[tex]\dfrac{d|x|}{dx} = \begin{cases}1 & \text{for } x > 0 \\ \text{unde fined} & \text{for }x = 0 \\ -1 & \text{for }x < 0 \end{cases}[/tex]
−2p + 23 = 15
What does p =
Answer:
look at the picture .................
find the measure of each numbered angle
Answer:
1= 70
2=110
3=46
4= 102
5= 37
Step-by-step explanation:
YAll plssssss help me with 5 plsssssssss
Answer:
8 and 2
Step-by-step explanation:
If you add them together you get 10. (8 + 2 = 10)
If you multiply them you get 16. (8 x 2 = 16)
Have a great day! (I'd love brainiest if you could give it to me!)
Which visual fraction model correctly shows the shaded region for the expression 1/2 divided by 6?
Answer: C
Step-by-step explanation: half of 6 is 3 so its C
Please help with this dilation
Answer:
k= 1/4 m=16
Step-by-step explanation:
7 over 28 is 1/4 and 4 times 4 is 16
I need help surface area
Answer:
[tex]\huge\boxed{318yd^2}[/tex]
Step-by-step explanation:
The object shown in the diagram is a triangular prism, which contains two triangular sides and three rectangular sides.
The area of a triangle is simply [tex]\frac{bh}{2}[/tex].
Because the triangles are both the same, you may multiply the equation by 2 to get simply bh, or 9 * 6, or 54.
Then, simply solve for the areas of each rectangle:
r1 = 11 * 7 = 77
r2 = 11 * 8 = 88
r3 = 11 * 9 = 99.
Then, simply add all the values to get:
99 + 88 + 77 + 54
318.
Hope it helps :) and let me know if you want me to elaborate.
Help please! I do not understand
What equation represents this sentence?
28 is the quotient of a number and 4.
28=n4
4=n28
4=28n
28=4n
The equation represents this sentence"28 is the quotient of a number and 4" will be n/4=28.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation. The right side of an equation is typically assumed to be zero.
It is given that, 28 is the quotient of a number and 4.
The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.
Suppose the number is n,
n/4=28
Thus, the equation represents this sentence"28 is the quotient of a number, and 4" will be n/4=28.
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Cody sold half of his comic books and then bought seventeen more. He now has 41. With how many did he begin?
Answer:
He begun with 48.
Step-by-step explanation:
48/2 = 24
24+17 = 41
Answer:
46
Step-by-step explanation:
I subtracted 17 from 41 and got 23 so if you add 23 by 23 half you get 46, so in turn Cody started out at 46.
Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 3 years after she moved into the house, the tree was 274 centimeters tall
How fast did the tree grow?
How many years passed from the time Renata moved in until the tree was 344 centimeters tall?
Answer:
Answers below
Step-by-step explanation:
How fast did the tree grow?
28 centimeters per year
How many years passed from the time Renata moved in until the tree was 344 centimeters tall?
5.5 years
Hope this helps!
The population of a city is growing every year at 8% if the present population is 2,62,236 then how much was the population two years ago
Answer:
THIS THE ANSWER OF YOUR QUESTION. ☜☆☞
MARK ME AS A BRAINLIST PLZ
Auntie Anne raked leaves for
more than 10 minutes but less
than 40 minutes. The number
of minutes is a multiple of 5.
The digits add up to 7. For
how long did Anne rake?
The time taken by auntie Annie to rake is 25 minutes.
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
Let the time taken by auntie Anne to rake be ab minutes.
Now, according to the given question.
Auntie Anne situation is represented by an inequality
10 < ab <40
Since, it is given that sum of the digits of time taken by Anne to rake is 7.
⇒ a + b = 7
Also, ab is a multiple of 5.
Now,
When, a = 4 and b = 3 (or vice-versa)
4 + 3 = 7 but 43 is not a multiple of five.
When, a = 6 and b = 1 ( or vice versa)
6 + 1 = 7, but 61 is not a multiple of five.
When, a = 2 and b = 5 (or vice versa)
2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.
Also, 25 is less than 40 and greater than 10.
Therefore, the time taken by auntie Annie to rake is 25 minutes.
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what is x^2+6^2=10^2
Answer:
Follow the order of operations and then solve from there
x^2 is simplifed to its max
6^2 is 36
10^2 is 100
x^2+36=100
Follow it normally
x^2=64
√64 = 8
x=8
**edited, sorry for the incorrect answer**
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
First lets write our equation
[tex]x^2+6^2=10^2[/tex]
SolveWe will use PEMDAS, or also known as BOMDAS
[tex]x^2+36=100[/tex]
Subtract 36 from both sides
[tex]x^2=64[/tex]
Find the square root of 64
[tex]\sqrt{64} =8[/tex]
[tex]x=8[/tex]
Brainliest please :)
A shipping box is shaped like a rectangular prism. The box is 1 1/5 feet wide, 3 feet long, and 4 1/2 feet tall. What is the volume of the shipping box
Answer:
4.95
Step-by-step explanation:
The volume of the rectangular prism is 16.2 ft³.
What is volume?The volume of any object defined the capacity of it, how much it can hold something is called its volume.
Given is rectangular prism, we need to find the volume of the same,
So, we know that the volume of a rectangular prism is the product of its dimensions.
V = length × width × height.
[tex]V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3[/tex]
[tex]V = \frac{6}{5} \times \frac{9}{2} \times 3[/tex]
V = 162/10
V = 16.2
Hence, the volume of the rectangular prism is 16.2 ft³.
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9. What are all the values for y?Plug in the x value into the equation to find 1 point
y. Equation is y=-2x + 1*
Answer: C
Step-by-step explanation: see picture
PLEASE HELP I DONT UNDSRSTANT
Answer:
B. 28.5
Step-by-step explanation:
Before you can use the Law of Sines, you need to know the measure of angle C. The sum of angles in a triangle is 180°, so you have ...
A + B + C = 180°
C = 180° -A -B = 180° -32° -25° = 123°
The Law of Sines tells you ...
c/sin(C) = a/sin(A)
c = sin(C)·a/sin(A) = sin(123°)·18/sin(32°)
c ≈ 28.5
_____
Additional comment
The law of sines says the ratio of a side length to the sine of the opposite angle is a constant for any given triangle:
a/sin(A) = b/sin(B) = c/sin(C)
In order to use this relationship, you need to have a side length and its opposite angle. If you're solving for a side length, as here, you need to know the angle opposite that side.
This problem gives you side 'a' and angle A, and it asks for side 'c'. That means you need to know angle C, which we found as part of our solution.
I just woke up i need help ;-;
Answer:
i think that the correct answer is 7/12
can someone please help me with this
Answer:
y-intercept =3
x-intercept =3/2
slope =-2
Step-by-step explanation:
y=-2x+3
0=-2x+3
2x=3
x=3/2
does anyone know the answer?
Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1
Step-by-step explanation:
a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,no solution as √x is a positive value
c. √x+1=0 ⇒ √x = - 1,no solution as √x is a positive value
d. √x = 0.1 ⇒ x = 0.1² ⇒ x = 0.01#1
√x-3=0x-3=0x=3If square root is over x only x=3²=9
#2
No solutions as -10 is <0
#3
√x+1=0x+1=0x=-1If root is over x only then no solutions
#4
√x=0.1
x=0.01
What is the slope for this table?
Answer:
look at the picture ..........
A right triangle has an X exterior angle with a measure of 142° . Can you determine the measures of the interior angles? Explain.
=======================================================
Explanation:
The exterior angle of 142 leads to an interior angle of 180-142 = 38. The adjacent interior/exterior pair of angles always add to 180. So 38+142 = 180. These two angles are supplementary, which is another way of saying they form a straight line.
Since 38 is one of the acute interior angles, the other acute interior angle is 90-38 = 52. The rule is that the acute interior angles of any right triangle always add to 90 degrees (i.e. the angles are complementary).
Lastly, the remaining interior angle is the 90 degree angle itself. All right triangles have exactly one angle that is 90 degrees. The term "right angle" is often used in place of "90 degree angle".
can you help me please
Answer:
i cant read that
Step-by-step explanation: