Answer:
[tex]h= 2x[/tex]
Step-by-step explanation:
Given
Square
[tex]Side = x[/tex]
Triangle
[tex]Base = x[/tex]
[tex]Altitude = h[/tex]
Required
Find h, if both shapes have the same area
The area of the square is:
[tex]Area = x * x[/tex]
[tex]Area = x^2[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} * Base*Height[/tex]
[tex]Area = \frac{1}{2} * x*h[/tex]
Equate both areas
[tex]x^2 = \frac{1}{2} * x*h[/tex]
Divide both sides by x
[tex]x = \frac{1}{2} *h[/tex]
Multiply both sides by 2
[tex]2*x = \frac{1}{2} *h*2[/tex]
[tex]2x = h[/tex]
[tex]h= 2x[/tex]
A ladder 17 m long reaches a window 8 m high on one side of the road. the ladder is then turned over to the opposite side of the road and is found to reach another window 15 m high. Find the width of the road.Please apply the pythgoras property .
Answer:
23 mStep-by-step explanation:
It is assumed the width of the street is the distance between the opposite buildings.
See the picture attached
It comprises of two parts:
x and yUsing Pythagorean theorem, lets find the value of x:
x² + 15² = 17²x² = 289 - 225x² = 64x = 8 mSame rule for y:
y² + 8² = 17²y² = 289 - 64y² = 225y = 15 mThe width of the street (road) is:
8 m + 15 m = 23 m
can someone solve this please ill give Brainly to who ever is first :)!
Answer:
465 in²
Step-by-step explanation:
square area: A = lw
triangle area: A = [tex]\frac{1}{2}[/tex] lw (or base x height)
[tex]A_{square}[/tex] = (15)(15) = 225
[tex]A_{triangle}[/tex] = [tex]\frac{1}{2}[/tex] (8)(15) = 60
There is one square and 4 triangles so...
225 + 4(60) = 465 in²
Simplify
146/192
Helppppppp plssssssss thxxxxxx
Answer:
the ans is 73/96 how i got this ans is in the picture
(hope it helps can i plz have brinlist it will make my day :D hehe)
Step-by-step explanation:
Write a proportion to find how many points a student needs to score on
the test to get the given score.
1. test worth 50 points; test score of 84%
2. test worth 75 points; test score of 96%
Answer: 2
Step-by-step explanation:
I did it on a test!
what point do the lines y=2x+3 and y=5x-9 intersect
Answer:
(4, 11)
hope this helps
I just asked a bouch of math questions
Go to my proflie and answer them
Im begging you
Answer:
ok
Step-by-step explanation:
Which ratio is not equivalent to the other three?
A. 6/15 B 18/45 C 12/25 D 2/5
Step-by-step explanation:
C that is 12/25.
others are × by 3
Answer:
12/25 (answer C)
Step-by-step explanation:
as each of the other choices equal to 2/5 after simplification
6/15 (divide 3) = 2/5
18/45 (divide 3) = 6/15 (divide 3) = 2/5
what is the value of the missing angle??
Answer:
39°
Step-by-step explanation:
51° +? = 90°
? = 90° - 51°
? = 39°
Hope it helps you in your learning process.
Dave bought some licorice for $1.80 a pound. He bought some trail mix for $4.00 and some bananas for $2.40. Dave spent a total of $10.00. How many pounds of licorice did he buy?
Answer:
2 pounds
Step-by-step explanation:
10-4-2.40=3.60
3.60/1.80= 2
Answer:
2 pounds
Step-by-step explanation:
Please Help Me With This I'll Give Brainliest.
Suppose the equation of the axis of symmetry for a quadratic function is x = -1
and one of the x-intercepts is 7.
What is the other x-intercept?
Answer: -9
Step-by-step explanation:
7 is 8 units away or to the left of -1
count 8 units to the left of -1 which is -9
Write
3
2
3
as an improper fraction.
Step by step
Easy multiply 3 by 3 then add 2 that should be your top answer then keep your bottom 3 as your answer
Answer 11/3
Answer:
11/3
Step-by-step explanation:
3 times 3 equal 9 plus 2 equal 11
ABCD is a parallelogram. solve for x
a) 21
b)20
c)10
d)5
Answer:
D)5
Step-by-step explanation:
We know that opposite sides of a parallelogram are both congruent and parallel. So, we use the equation 3x+5=6x-10
Simplifying this we get x=5
Answer:
X = 5
Step-by-step explanation:
[tex]6x - 10 = 3x + 5 \\ 3x = 15 \\ x = 5[/tex]
Help me with these questions, explaining it would be awesome!!
Answer:
i hope my answer help you:))
Step-by-step explanation:
{1st question}
b=3b-18=12
=3b=12+18
=3b=30 ( divided by 3)
then b=10
{2nd question}
d = -42-7d=49
=-7d=49+42
=-7d=91 ( divided by -7)
then d= -13
Francisco forgot to pay the $50 water bill. The company charges you a 14% fine. How much does Francis have to pay including the fine?
5-2*3^2
Also buzz cut for frisk
This one was rushed because I’m finishing with a quiz
Answer:
-13
Step-by-step explanation:
PEMDAS
5-2*3^2
5-2*9
5-18
answer: -13
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
Answer:
Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.
We can find sum of all 16 test scores = 84(16) = 1344
Outlier found = 78
If outlier is removed new sum = 1344-78 = 1266
Number of entries without outlier = 15
New average = 1266/12 =84.4
We find that average of new data increases.
Also whenever we remove outlier std deviation also would be reduced.
Step-by-step explanation:
Answer:
The mean would decrease.
Step-by-step explanation:
Without the outlier, the mean decreases. The median stays the same with or without the outlier.
Hi can anyone do these for me please
i have to turn in the assignment please can anyone do it fast please
Answer:
awsten knight
Step-by-step explanation:
Find AB.
B
8
610
A
C
Write your answer as an integer or as a decimal rounded to the nearest tenth.
AB =
Answer:
AB ≈ 7.0
Step-by-step explanation:
Using the sine ratio in the right triangle
sin61° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{8}[/tex] ( multiply both sides by 8 )
8 × sin61° = AB , then
AB ≈ 7.0 ( to the nearest tenth )
what number is the opposite of 3 1/4?
Answer:
-3¼
Step-by-step explanation:
just minus and plus
hope it helps ☺️
Don has an album that holds 700 photos . Each page of the album holds 7. If 33% of the album is empty, how many pages are filled with photos?
sian thinks of a number.
it's value is increased by 25%.
express the original number as a percentage of the increased number
will give brainliest
Answer:
80%
Step-by-step explanation:
original: 1
Increase 25%: 1.25 if this number becomes 1
1 : 1.25 = x : 1
x = 1 / 1.25 = 0.8 (80%)
check: 0.8 x 1.25 = 1
The sun of two numbers is 36. The larger number is 18 more than the smaller number. What are the numbers?
Answer:
Step-by-step explanation:
a+b=36
lets name the 2 numbers a,b
b=a+18
a+a+18=36
2a=36-18
2a=18
a=9
b=27
Answer:
the numbers are 9 and 27
Step-by-step explanation:
equation to the problem: x+y=36
one number (y) is 18 times greater than the other number (x): x+18=y
plug in the 2nd equation to the first equation (systems of equations):
x+(x+18)=36
solve the equation:
2x+18=36
*minus 18 on both sides*
2x=18
*divide the whole equation by 2 to get the value of just one x*
x=9
since variable x is the n smaller number, add 18 to 9 to get the 2nd number:
18+9= 27
y=27
La somme du double de x et de 14
donne 30.
x égale combient
Answer:
x=36° (180/5x because 2x+3x)
Step-by-step explanation:
CAN SOMEONE HELP QUICK PLEASE, JUST WITH THE FIRST
Answer:
1) 04.4750
Step-by-step explanation:
The most obvious reason would be that if you put in 3.58 x 1.25 into a calculator the answer u get is 4.4750.
If you want a more technical explanation though, you can say that the combined number of decimal places in the multiplicand and the multiplier is 4, so the product will also have 4 decimal places.
3.58 = two decimal places
1.24 = 2 decimal places
in total, they have 4 decimal places. for the product to have 4 decimal places too you'd count from right to left 4 places, and that's where you'd put the decimal. Hope this helps!
The Bobcat baseball team has a total of 53 games this season. There are 9 games in the first month. After the first month, the team plays 11 games per month. Which equation can be used to find the number of months the season will last after the first month?
Answer:
The season will last 4 months after the first month (5 months in total)
Step-by-step explanation:
53 games
9 games first month
11 games per month (since the second one)
x - number of months
9 + 11x = 53
11x = 53-9
11x = 44
x = 4
Juanita has a 20% of the money that she needs to buy a new bicycle if she has a $52 how much money does the bicycle cost?
Answer:
Step-by-step explanation:
if Juanita has 52 dollars and this sum represents 20%
the bicycle costs 52*5=260 dollars
Daniel wants to order shirts on the internet. Shirts cost $20.00 and shipping on all orders is $10.99. Daniel has $50 to spend.
Answer:
Total cost: $30.99
Daniel will have $19.01 left to spend.
Answer:
Daniel can buy 1 shirt
Step-by-step explanation:
We can write an equation out of what they give us in the question.
Each shirt is $20, this can be represented as 20s.
All shipping on orders cost $10.99, this can be represented as 10.99s.
S represents how many shirts Daniel will buy.
The equation is written out like this:
[tex]20s + 10.99s \leq 50[/tex]
Combine like terms:
[tex]30.99s \leq 50\\[/tex]
Now solve
[tex]s \leq 1.6[/tex]
Therefore, if Daniel can only buy one shirt if he has only $50 to spend.
We can't have 2 shirts because that would exceed the $50 limit.
Hope this helps!!
- Kay :)
Plea look at the photo of Parallelogram properties.
Question: Find the measurement indicated in each parallelogram.
Please explain it you can:)
Answer:
1. 45
2. 105
3. 95
4. 85
Step-by-step explanation:
For problems 1 and 4:
Consecutive angles are supplementary in a parallelogram, which means they equal 180.
180 - 135 = 45
180 - 95 = 85
For problems 2 and 3:
Opposite angles are congruent or equal each other in a parallelogram,
2. Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular pyramids. How much clay did he use to create all the pyramids?
Answer:
[tex]124.16[/tex] cubic meter of clay will be used to create all the pyramids
Step-by-step explanation:
The remaining part of the question is given in the attached file
Solution
The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.
For Rectangular Pyramid,
Volume of three rectangular pyramids
[tex]3 * \frac{BH}{3} = BH[/tex]
Substituting the given values in above equation, we get -
[tex]15.5 * 5 = 77.5[/tex] cubic centimeter
For triangular Pyramid,
Volume of two triangular pyramids
[tex]2 * \frac{BH}{3}\\2 * \frac{10 * 7}{3}[/tex]
[tex]46.67[/tex] cubic centimeter
Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid [tex]= 77.7 + 46.67 = 124.16[/tex] Cubic centimeter
Really confused, can someone help me?
First Answer:
x = 12
First Step-by-step explanation:
12 + x = -3(4 - x)
12 + x = -12 + 3x
- x - x
—————————
12 = -12 + 2x
+ 12 + 12
—————————
24 = 2x
24/2 = 2x/2
12 = x
Second Answer:
No solution
Second Step-by-step explanation:
2(x - 1/2) = 8 + 2x
2x - 1 = 8 + 2x
+1 +1
—————————
2x = 9 + 2x
- 2x - 2x
—————————
0 = 9
^^ No solution