Answer:
6cm
Step-by-step explanation:
let height of ladder be x
so if height of ladder is x then the distance from the base of the ladder to the base of the slide is x+2
Assuming this is a right angle triangle, the slide is the longest lenght (c)
so
x²+(x+2)²=10²
x²+x²+4x+4=100
2x²+4x+4=100
2x²+4x+4-100=0
2x²+4x-96=0
2(x²+2x-48)=0
x²+2x-48=0 -- Factor
(x+8)(x-6)=0
x=-8 and x=6
since height cannot be a negative number
height of ladder is 6 cm
The base length is 8 feet. Then the height of the triangle will be 6 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The length of a slide on a swing set is 10 ft.
The distance from the base of the ladder to the base of the slide is 2 ft more than the height of the ladder.
Let x be the length of the height of the triangle. Then the base of the triangle will be (x + 2).
10² = (x + 2)² + x²
100 = x² + 4x + 4 + x²
96 = 2x² + 4x
48 = x² + 2x
0 = x² + 2x - 48
0 = (x - 6)(x + 8)
x = 6, -8
Then the base length is 6 ft. Then the height of the triangle will be
B = x + 2
B = 6 + 2
B = 8 ft
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
Find the value of x need help
What is the approximate surface area of the sphere? Round to the nearest hundredth and use 3.14 for Pi. Recall the formula S A = 4 pi r squared. A sphere with a radius of 9. 113.04 square units 226.08 square units 1,017.36 square units 4,069.44 square units
Answer:
Step-by-step explanation:
A = 4πr² = 4π9² = 324π units²
324(3.14) = 1,017.36 units²
can someone please help me with this I don’t wanna fail math
Answer: y = mx + b is the slope intercept form of writing the equation of a straight line
Step-by-step explanation:
Answer:
Step-by-step explanation:
, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
Write the square root -10 in simplest radical form
Answer:
The square root of 10 is expressed as √10 in the radical form and as (10)½ or (10)0.5 in the exponent form. The square root of 10 rounded up to 10 decimal places is 3.1622776602
Step-by-step explanation:
hope this is correct
Find the value of n:
(3√7)^5=7^n
The value of n in the equation (3√7)^5 = 7^n is 5.32288
How to find the value of n in the given equationIn the given equation (3√7)^5=7^n, n is solved as follows
(3√7)^5 = 7^n
= (3√7)^5 = 7^n
7.937253933^5 = 7^n
31502.96087 = 7^n
take ㏑ of both sides
㏑ 31502.96087 = n ㏑ 7
divide through by ㏑ 7
n = ㏑ 31502.96087 / ㏑ 7
n = 5.32287517
the value of n is 5.32288
Learn more about logarithm at:
https://brainly.com/question/25710806
#SPJ1
Kenya uses mental math to find the sum of 235 and 23. She uses 235, 20, and one other number. What is the missing
number?
3
5
35
58
Answer:
3
Step-by-step explanation:
235 + 23
She uses 235, so 23 is left
235 + something + something = 235 + 23
235 + 20 + something = 235 + 23
subtract 235 from both sides
20 + something = 23
20 + something = 20 + 3
the missing number is 3
The missing number is 3.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Kenya uses mental math to find the sum of 235 and 23.
She uses mental math.
That means,
she breaks the term in simple manner.
And she uses 235, 20, and one other number.
And the other number is 23 - 20 = 3
So, addition,
235 + 23
= 235 + 20 + 3
= 258
Therefore, the required number is 3.
To learn more about the addition;
brainly.com/question/29464370
#SPJ5
Rachel buys 1 gallon of milk. Her sister Abby uses 15 quarts of the milk in a recipe. Then her mother
uses 3 cups of the milk in a different recipe
Select all of the true statements below
O A Rachel's mother uses more milk than her sister Abby uses
B. There are 56 fluid Ounces of milk left
C. There are 9 cups of milk left
D. There is more than gallon of milk lett,
O E There is more than 5 gallon of milk left,
Answer:
Option B
Step-by-step explanation:
Need help find the value of x
I actually need help-
Step-by-step explanation:
The answer im just guessing but teachers like to do false false true true so sorry if im wrong
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
[tex]I(-2,0) \to\\ I \ ' \ (-0.5,0)\\\\J(3,2) \to\\ J \ ' \ (0.75,0.5)\\\\K(1,-1) \to\\ K \ ' \ (0.25,-0.25)\\\\[/tex]
==================================================
Explanation:
For each point, multiply each x,y coordinate by 0.25 (the scale factor) to dilate the preimage to the image. This will shrink the image because the positive scale factor is less than 1.
So for instance, point J(3,2) will have this scratch work
3*(0.25) = 0.752*(0.25) = 0.5meaning J(3,2) moves to J ' (0.75, 0.5)
----------
Side notes:
0.25 = 1/40.5 = 2/4 = 1/20.75 = 3/4this trick only works if the center of dilation is the originTry to find the slope
Answer:
-11/14.
Step-by-step explanation:
Slope =(y2-y1)/ (x2 - x1)
Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.
So slope
= (7 - (-4)/ -7-7)
= -11/14.
Solve each system using substitution or additions
(elimination).
-x+2y=-1
5x-10y=6
Answer:
Step-by-step explanation:
L1 -x + 2y = -1
L2 5x - 10y = 6
-x + 2y = - 1 multiply by -1
x - 2y = 1 multiply by 5
5x - 10y = 5 is similar that 5x - 10y = 6
The system has no solution
Factor the following expression completely: 3x^2+9x+6
Answer:
The answer is 3(+1)(+2)
Answer:
3(+1)(+2)
Step-by-step explanation:
a prisms base has a perimeter of 12cm and a height of 2 cm. the area of the base was 5cm. what is the surface area of the prism.
==============================================================
Explanation:
For any prism, there are two congruent bases opposite one another. In other words, the bases are identical polygons with the same area. Each base is 5 square cm. So far, that accounts for 5+5 = 10 square cm of surface area. Let A = 10 as we'll use it later.
The perimeter is 12 cm and the height is 2 cm. It turns out that the lateral surface area is found by multiplying the two items. This is because the perimeter is made up of the lengths of the sides of the base, which when multiplied by the height, will give the area of each rectangular side panel.
So the lateral surface area is 12*2 = 24 sq cm. Let B = 24.
Overall, the total surface area is A+B = 10+24 = 34 square cm
x/2 - 3 = 5 Solve the equation algebraically show work to support the answer
Answer:
x = 16
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
x/2 - 3 = 5
x/2 = 5+3
x/2 = 8
x = 8×2
x = 16
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
I think D because CBD is half of ABC
Step-by-step explanation:
If I am wrong I appologize
1 A community group is painting classrooms. One 20 litre can of costs R1 699,00. It is then reduced by 6%. Determine the new cost of a 20 litre can
Ahat costs $25. Tax is 8%. How much is the lax on the hot? O $20 $17 $0 20 $2 NEXT QUESTION ASK TORTILLP
Answer:
$2
Step-by-step explanation:
To use a percent you must change it to a decimal.
8% is .08
To find 8% of 25, we use multiplication.
.08 × 25
= 2
In case you cannot use a calculator or you want to be very quick about this, or just do a simple check... you can actually reverse the number (money, amount, etc) and the percent.
25% of 8 is not bad for doing mental math. 25% is a quarter, or 1/4 of 8 which again is 2.
3. Twenty-five percent of Santa's elves
decorated the North Pole. If 150 elves
decorated, how many total elves live in
the North Pole?
What do you know about these two lines?
y = 6x - 1
y = -6x - 4
A: The lines are parallel because their slopes are the same.
B: The lines are perpendicular because the slopes are opposites reciprocals
C: The lines are neither parallel nor perpendicular, they just intersect.
Explanation:
Refer to the y = mx+b form
m = slopeb = y interceptThe slopes are the only thing we focus on. For the equations y = 6x-1 and y = -6x-4, the slopes are 6 and -6 in that order.
The slopes are not equal, so the lines aren't parallel.
The slopes aren't opposite reciprocals of one another, so they aren't perpendicular either. An example of an opposite reciprocal pairing would be 6 and -1/6. Any pair of nonzero opposite reciprocal slopes always multiply to -1.
Therefore, the two lines are neither parallel nor perpendicular, they just intersect.
2nd time asking please helpp!!
Answer:
exact form is 6/5 its decimal form is 1.2, and mixed numbers is 1 1/5
Step-by-step explanation:
Answer:
6/5, 1.2, or 1 1/5
Solve the following system of equations by elimination
Answer:
y = -6
x = 1
Step-by-step explanation:
-x + 2y = -13
-x - 2y = 11
Sum the equations:
-x -x = -2x
+2y - 2y = 0
-13 + 11 = -2
then
-2x = -2
x = -2/-2
x = 1
from the first eq.
-x + 2y = -13
-1 + 2y = -13
2y = -13 + 1
2y = -12
y = -12/2
y = -6
check:
from the second eq.
-x -2y = 11
-1 -(2*-6) = 11
-1 -(-12) = 11
-1 + 12 = 11
If the product of a number and -5 is reduced by 2, the result is 26 less than twice the opposite of the number. What is the
number?
Answer:
(-5n)-2=26-2n
Step-by-step explanation:
i think -9 1/3
well, let's say that number is "a", so it's opposite will just be "-a".
what's that number times -5?
-5*a => -5a
let's reduce that by 2
-5a -2
what would it be twice the opposite of it?
2(-a)
what is it 26 less than that?
2(-a) - 26.
[tex]-5a-2=2(-a)-26\implies -5a-2=-2a-26\implies -2=3a-26 \\\\\\ 24=3a\implies \cfrac{24}{3}=a\implies \boxed{8=a}[/tex]
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 26000 kilograms. Other shipments weighing 13200 kilograms have already been loaded into the container. What is the greatest number of 60-kilogram crates that can be loaded into the shipping container?
Answer:
213 crates
Step-by-step explanation:
There is enough space for 26000 kg - 13200 kg = 12800 kg. Divide this by 60 and you get 213 and 1/3. You cannot put 1/3 of a crate, so it is 213 crates.
A squares diagonal is 22. What is the length of each side?
Answer:
[tex]\sqrt{242}[/tex]
Does anyone know how to add fractions? Please explain step by step to get marked!
Answer:
To add fractions there are Three Simple Steps:
Step 1: Make sure the bottom numbers (the denominators) are the same.
Step 2: Add the top numbers (the numerators), put that answer over the denominator.
Step 3: Simplify the fraction (if possible)
please help I am so lost rn
(please put step by step if you can)
thanks!
Answer:
x=-5 and y= 4
Step-by-step explanation:
To eliminate x, add up both equations
9y= 36
divide both sides by 9
y=36/9
y= 8
To eliminate y, multiply the first equation by 8
-16x + 8y = 112
2x+ 8y= 22
Subtract equation 2 from equation 1
-18x = 90
Divide both sides by -18
x= 90/-18
x= -5
Julie goes to the store to buy grapes. Grapes cost $1.09 per pound. Write an equation to help Julie determine the total amount, y, she will pay for a given number of pounds of grapes, x?
Answer:
y=1.09x
Step-by-step explanation:
Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.
Below!
Step-by-step explanation:You can take 25 as one example and 49 as the second example.
Let's factorize.
=> 25 = 5 x 5 = 5² (Which is odd)=> 49 = 7 x 7 = 7² (Which is odd)Conclusion:Hence, the statement is not true.
Hoped this helped.
Boy Scouts Popcorn Sales
Matt:8
Byron:16
Tim:8
Marcos:12
Ahmed:4
Based on the ratio of Popcorn boxes sold
by Ahmed to total sold by the whole
group, if Ahmed sold 5 more boxes of
popcorn, how many more would the
whole group have to sell to keep the ratio
the same?
A. 55
B. 58
C. 60
D. 70
Answer:
60
Step-by-step explanation:
5 plus 4 is nine.
I based everything on how much times more it was at first, and did that times 9 for every name.
I added up how much more boxes they got in total and got 60.