Answer:
15cm by 20cm by 25cm
Step-by-step explanation:
Let the sides of the right angle be x, y and h
x is the breadth
y is the height
h is the hypotenuse
Perimeter = x + y + h
x + y +h = 60
x+y = 60-h .... 1
If its area is equal to 150 square cm, then;
Area = 1/2 * base * height
Area = 1/2 *x * y
xy/2 = 150
xy = 300 ....2
According to pythagoras theorem;
x² + y² = h²
On expanding x² + y²
x² + y² = (x+y)² - 2xy
The equation becomes
(x+y)² - 2xy = h² ... 3
Substitute equation 1 and 2 into 3;
From 3;
(x+y)² - 2xy = h² ... 3
(60-h)² - 2(300) = h²
3600-120h + h² - 600 = h²
3600-120h - 600 = 0
-120h = 600-3600
-120h = -3000
h = 3000/120
h = 25cm
Recall that x+y+h = 60
x+y+25 = 60
x+y = 60 - 25
x+y = 35 ... 4
From equation 2;
xy = 300
x = 300/y ..... 5
Substitute 5 into 4;
300/y + y = 35
(300+y²)/y = 35
300+y² = 35y
y²-35y + 300 = 0
y²-20y-15y + 300 = 0
y(y-20)-15(y-20) = 0
y-20 = 0 and y - 15 =0
y = 20 and 15
since x+y = 35
x + 20 = 35
x = 35 - 20
x = 15
Hence the sides of the triangle are 15cm by 20cm by 25cm
Which type of figure will this net produce?
Cone
Circular pyrimid
Cylinder
Rectangular prism
Answer:
that is a cone
Step-by-step explanation:
hope this helps and have a blessed day
Find the value of x.
Step-by-step explanation:
[tex] log_{x}(16) = 2 \\ 16 = {4}^{2} \\ x = 4[/tex]
What are the solutions of x2+4x=9?
Question 3 options:
−2±13−−√
−2±413−−√
−4±213−−√
−4±13−−√
Answer:
−2±13−−√
Step-by-step explanation: one answer for sure
Answer:
−2±13−−√
Step-by-step explanation:
can someone please help me with number 7?!
PLSS HELP ME IN MATH!!!!
Answer:
2.7 x [tex]10^{-11}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10 . The sign of the exponent will depend on the direction you are moving the decimal.
Need help!!!! Asap I’ll Mark Brainly
Answer:
I think 9 and 12 are paraellograms. the others are not paraellograms. dunno if im right. but I tried my best
Step-by-step explanation:
I forgot how to do these, can someone rEmInD mE? :'v <33
Answer:
a squared + b squared = c squared
PLEASE HELP I WILL MARK BRANLIEST
Aiden was on a ladder painting a spot on a wall which is 30 feet above the ground. The distance between the base of the ladder and the base of the wall is 10 feet. If the ladder leans on the wall at the spot 30 feet above the ground, how long is the ladder that Aiden is using? Round to the nearest tenth.
please help me with this!!! I've been stuck since Monday
Answer:
C infinite
Step-by-step explanation:
They are the exact same line. (Multiply the entire bottom equation by -1 and it's the same as the top)
Can someone pls help me
Answer:
Sorry that I cant help.
But have a good rest of your dayFollow if you liked this.
I NEED IT RIGHT NOW!!!!!The sphere and cylinder have the same radius and
height
The volume of the cylinder is 18 m3. What is the
volume of the sphere?
O. 12 m3
15 m3
18 m
O 27 m3
it's A cause im super epic UwU
A module house is made by sticking a triangular prism on top of a rectangular block, as shown in the diagram.
Answer:
d
Step-by-step explanation:
The volume of the triangular prism.
= Base area x length of the prism
The volume of the rectangular block.
= Length x width x height
The volume of the model house is 1260 cubic feet.
Option A is the correct answer.
What is a rectangle?
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Module house:
Triangular prism on top and a rectangular block.
The volume of the triangular prism.
= Base area x length of the prism
= (1/2 x 12 x 4) x 15
= 24 x 15
= 360 cubic feet
The volume of the rectangular block.
= Length x width x height
= 12 x 15 x 5
= 900 cubic feet
The volume of the block house.
= Volume of the triangular prism + Volume of the rectangular block
= 360 + 900
= 1260 cubic feet
Thus,
The volume of the model house is 1260 cubic feet.
Option A is the correct answer.
Learn more about rectangles here:
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need someone to do this for me I am trying to finish some exams and I been stressing help me ASAP ty !!
Answer:
Step-by-step explanation:
1-g
2-h
3-k
4-n
5-f
6-l
7-d
8-i
9-c
10-m
11-p
12-b
13-r
14-q
15-o
16-a
17-e
18-j
Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?
Answer:
i had this question before
Step-by-step explanation:
c^2=a^2+b^2-2abcos(c)
c=sqrt(a^2+b^2-2abcos(c))
c=sqrt((5)^2+(12)^2-2(5)(12)cos(72))
c=sqrt(25+144-120cos(72))
c=sqrt(169-120cos(72))
c=sqrt(169-37.08)
c=sqrt(131.92)
c=11.49
100 points to answer this
tan (0.9269428)
Decimal form=1.33235488...
Answer:
the answer is 2.4 .
Step-by-step explanation:
plug in arccos(5/13) in the calculator and u will get 67.380, then plug that value in for tan and you will get 2.4.
If I have a 1/4 measuring cup and need 1/8 what do I do?
It’s 11:15 at night and I can’t even do basic math. someone help me so I can get this turned in and out of the way
Answer:
1/8 is half of 1/4 so, you need to measure half cup
help asap!! slove for x, (4x+5) + (2x -7) =40
Lisa can run 4 more miles than Marlie. Marlie can run twice as many miles as Amy. Amy can run 3 miles. How many miles can Lisa run?
help will give brainliest
Answer:
D
Step-by-step explanation:
What is the area of the composite figure?
10 POINTS WILL GIVE BRAINLIEST
Answer:
200
Step-by-step explanation:
The area of the trapezoids are [tex]\frac{12+8}{2}[/tex] x 6 = 60. 60x2 = 120. Area of kite is product of diagonals/2. Diagonals are 8 and 20. [tex]\frac{8x20}{2}[/tex] = 80. 120 + 80 = 200
Answer:
d
Step-by-step explanation:
after the 15% sales tax the jeans were 16.10. how much was the jeans before the sales price?
Answer:
$13.69
Step-by-step explanation:
16.10 decrease 15% =
16.10 × (1 - 15%) = 16.10 × (1 - 0.15) = 13.685
Class Five conduct a traffic survey of the colours of 180 cars.
They put their results into a Venn diagram.
blue 76%
red84%
yellow x%
green62%
a) Find the value of xº.
b) How many red cars were seen?
Answer:
hmmm hmmmh hmmhmhmhmhmmmm i seee yeah i got nothing'
Step-by-step explanation:
Solve the following proportion for X.
3/17=x/5 Round your answer to the nearest tenth.
Answer:
ans: x = 0.035
Step-by-step explanation:
3/17 = x/5
x = 3÷ (17×5)
x = 3÷ 85
x = 0.035
Solve for x. −1/2x+1/3>3/5
Answer: x < -8/15
Step-by-step explanation: i took the test, I hope this helps! :)
Jason jumped 6 2/3 feet in a jumping contest. Yolanda jumped 4 3/4 feet. How much farther did Jason jump than Yolanda?
Answer:
1 11/12
Step-by-step explanation:
Picture included)
Sorry about my handwriting
23/12 reduces to 1 11/12
Jason jumped farther by 23/ 12 feet.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Yolanda jumped 4 3/4 feet = 19/4 feet
and, Jason jumped 6 2/3 feet in a jumping contest. = 20/3 feet
First take the LCM of 3 and 4
LCM( 3, 4) = 12
Then, Yolanda jumped = 19/4 x 3/3 = 57/ 12
and, Jason jumped = 20/3 x 4/4= 80/ 12
Hence, Jason jumped farther by (80/12 - 57/12)= 23/ 12 feet.
Learn more about Fraction here:
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The ages of three brothers are consecutive integers with the sum of 96. How old are the brothers?
Answer:
The ages of the brothers are 31,32,and 33
Step-by-step explanation:
Evan measured a line to be 17.5 inches long. If the actual length of the line is 16.7
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
Answer:
3.6%
Step-by-step explanation:
On a bicycle trail, the city is painting arrows like the one shown below:
Calculate the area of the arrow by decomposing it into rectangles and triangles. (4 points)
Group of answer choices
148.5 square centimeters
151.5 square centimeters
171 square centimeters
195 square centimeters
Its confusing
Answer:
151.5 cm^2
Step-by-step explanation:
lets cut stright acrros so you have a triangle 13 (base) by 3 cm (high)
area of a triangle is 1/2 base times hight --> 13x3/2 = 19.5cm^2
now lets doi the rectangle that is 12 by 11
Length times hight is the area is 132
add both areas 132 + 19.5
Question 5
Find the coordinates of the missing vertex in the parallelogram. Use parentheses when entering the coordinates.
ABCD with vertices A(2, −2), B(−2, −1), and D(4, 0).
Answer:it’s either a or d
Step-by-step explanation:
On her way to visit her parent ,Jennifer drives 265 miles in 5 hours what is her average
rate of speed in miles per hour
Answer:
53 mph
Step-by-step explanation:
Answer: She would be going 53 mph
Step-by-step explanation:
you take 265 and divide it by the 5 hours
leaving you with 53 mph