The slope of the rafter is 15 m.Half the run of the rafter measure 12m.find the height of the ridge from the base
Answers
Answer:
[tex]9\; \rm m[/tex].
Step-by-step explanation:
Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with [tex]\rm 12\; m[/tex]. The three labelled lines in this diagram will form a right triangle.
The line marked as [tex]15\; \rm m[/tex] will be the hypotenuse of this right triangle.The line marked as [tex]12\; \rm m[/tex] will be one of the triangle's legs.The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:
[tex](\text{First Leg})^2 + (\text{Second Leg})^2 = (\text{Hypotenuse})^2[/tex].
In this particular right triangle:
[tex](\text{Height})^2 + (12\; \rm m)^2 = (15\; \rm m)^2[/tex].
[tex](\text{Height})^2 = (15\; \rm m)^2 - (12\; \rm m)^2[/tex].
Therefore, the height of this ridge would be [tex]\sqrt{81}\; \rm m = 9\; \rm m[/tex]. (Note the unit.)
Related Questions
PLS ANSWER PLS MARK AS U KNOW WHAT
Answers
Answer:
2/4 +6/8 =5/4
Step-by-step explanation:
What is the first step in simplifying the expression 11x-2-3(1-7x)^2\(x+1)
Answers
Answer:
3(1-7x) is first step
Step-by-step explanation:
Answer:
BIDMAS
Step-by-step explanation:
brackets
indices
division
multiplication
addition
subtraction
so.. do everything inside the brackets and then use the square
hope this helps! :)
Work out the size of angle x and give reasons for your answer. Image attached.
Answers
Answer:
The value of X is 75°
<EFB +105°=180° (Being straight line)
<EFB=180-105
<EFB= 75°
X = <EFB = 75°. (corresponding angle)
sue's tyre pressure gauge shows a reading which is 8% higher than the actual pressure.
What is the actual pressure when sue's gauge shows 39.42?
Answers
Answer:
36.5 is the answer
Hope this helps!
Step-by-step explanation:
Let the actual pressure be x
The actual pressure is 100% of x
The pressure is showing 8% more
So the pressure showing now is the actual pressure + the extra pressure
= 100%+8% = 108%
= 108/100
So the equation is:
108/100 x = 39.42
108x = 39.42*100
108x = 3942
x= 3942/108
= 36.5
Therefore the actual pressure is 36.5
Cindy is facing South through how many degrees should she turn clockwise to face East? a. 90° b. 180° c. 270° d. 360° e. Other:
Answers
Answer:
90°
Step-by-step explanation:
because from south to east is half of north which makes it 90°
which best explains whether a triangle with side lengths 5cm 13cm and 12 cm is a right triangle
Answers
Answer: the awnser is 0 jk its not
Step-by-step explanation:
i just want point repete dkmkmkrfnjrjnnfrfr
Answer:
Yes, it can make a right triangle.
Step-by-step explanation:
We can use the Pythagorean Theorem to determine if the sides make a right triangle.
[tex]a^2+b^2=c^2[/tex]
We are given the side lengths: 5cm, 13cm, and 12 cm.
13cm is the longest, so it would be 'c'.
5cm and 12cm will be 'a' and 'b'.
Let 5 be 'a', 12 be 'b', and 13 be 'c':
[tex]5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}[/tex]
5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.
The sum of three numbers is 84 the second number is 3 times the third . The first number is 6 less then the third . What are the numbers
Answers
Answer:
A=12
B=54
C=18
Step-by-step explanation:
A=first
B=second
C=third
A+B+C=84
B=3C
A=C-6
C-6+3C+C=84
5C-6=84
5C=90
C=18
A=C-6
=(18)-6
=12
B=3C
=3(18)
=54
12, 54, and 18 so, what he said is true
Step-by-step explanation: he already gave this to you
x varies jointly as y^3 and square root of z . If x = 7 when y = 2 and z = 4, find x correct to 2 decimal places, when y = 3 and z = 9.
Answers
Answer:
x=35.44
Step-by-step explanation:
x=ky^3 and√z
x=k(y^3)(√z)
Find k when
x=7
y=2
z=4
7=k(2^3)(√4)
7=k(8)(2)
7=k(16)
7=16k
k=7/16
Find x when y=3, z=9
x=k(y^3)(√z)
x=(7/16)(3^3)(√9)
x=(7/16)(27)(3)
=7/16(81)
=567/16
x=35.4375
Approximate to 2 decimal places
x=35.44
Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)
Answers
c = 5j
c + j = 18
5j + j = 18
6j = 18
j = 3
c = 5(3) = 15
Answer: Carole is 15, Joe is 3
Answer:
Joe is 3 and Carole's age is 15
Step-by-step explanation:
Joe: x
Carole: 5x
5x+x=18
6x=18
x=3
Melanie’s bedroom floor is rectangular in shape and has a width equal to 8x−6 and a length equal to 7x−3. What equation represents the area of the floor?
Select one or more:
a. A=56x2+66x+18
b. A=56x2+18x+18
c. A=56x2−66x+18
d. A=56x2−18x+18
Answers
Answer:
C
Step-by-step explanation:
Since the area of a rectangle is the width multiplied by the length, the area of this one would be:
[tex](8x-6)(7x-3)= \\\\56x^2-42x-24x+18=\\\\56x^2-66x+18[/tex]
Therefore, the correct answer is choice C. Hope this helps!
what is 240:180 in its simplest form thanks
Answers
Answer:
4:3
Step-by-step explanation:
240:180=
60(4):60(3)=
4:3
Hope this helps!
Answer:
4:3
Step-by-step explanation:
24:18
4:3
Bill is purchasing accordion lessons. There is a $20 materials fee and each lesson costs $15. Write an equation for the situation and then determine how many lessons Bill took if his total cost was $125.
Answers
Answer:
The equation is 20 + 15x. Bill took 7 lessons.
Step-by-step explanation:
Let x represent the number of lessons Bill take. Then,
the total cost = materials fee + (each lesson cost).x
Since the materials fee is $20 and each lesson costs $15
The total cost = 20 + 15x
Since Bill's total cost was $125:
→ 125 = 20 + 15x
→ 105 = 15x
→ x = 7
please help i put a picture on top
Answers
Answer:
1/8÷7
Step-by-step explanation:
I think
You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have thr same amount of money? What amount would you have the same ?
Answers
Answer:
15 weeks
The amount of money is 270
Step-by-step explanation:
You: 60 +14x
Sister: 120+10x
Set them equal to each other
60+14x = 120+10x
Subtract 10x from each side
60+4x= 120
Subtract 60 from each side
4x= 60
Divide by 4
4x/4 = 60/4
x = 15
15 weeks
The amount of money is 120+10*15 = 120+150 = 270
Answer:
15 weeks
$270
Steps:
1: 60+14x=120+10x
2: 4x=60
3: x=15 weeks
4: Amount= 60+14*15= $270
Description:
The first step is to get the money u have that is $60 plus it with the saving u have that is $14 answer will equal as 120+10x as a equation. Now simplify the equation 4x=60. You will get x=15 that will be the weeks. And now get 60+14 times it by 15 answer will equal as $270. So 15 weeks and $270 is the answer.
Please mark brainliest
Hope this helps.
(-4,-1),(-3,-1),(-2,-3),(-1,0),(-3,2 )IS IT AN FUNCTION OR NOT
Answers
Answer:
No it isn't a function one of the x values, -3, repeats
Step-by-step explanation:
Can any one here please help me in this math problem I really need help
Answers
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Simplify this problem
Answers
Answer:
[tex] \boxed{ \frac{ \sqrt[3]{ {x}^{11} } }{4} } [/tex]
Step-by-step explanation:
[tex] = > \frac{ {x}^{4} }{ \sqrt[3]{64x} } \\ \\ = > \frac{ {x}^{4} }{ {(64x)}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4} }{ ({64}^{ \frac{1}{3} } )\times ({x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({( {4}^{3} )}^{ \frac{1}{3} }) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{ ({4}^{ \cancel{3} \times \frac{1}{ \cancel{3}} } ) \times( {x}^{ \frac{1}{3} } )} \\ \\ = > \frac{ {x}^{4} }{4 {x}^{ \frac{1}{3} } } \\ \\ = > \frac{ {x}^{4 - \frac{1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{12 - 1}{3} } }{4} \\ \\ = > \frac{ {x}^{ \frac{11}{3} } }{4} \\ \\ = > \frac{ \sqrt[3]{ {x}^{11} } }{4} [/tex]
Is number one congruent? If it is how?
Answers
Answer:
Yes, Triangles in (1) are congruent
Step-by-step explanation:
Two conditions must be satisfied before two triangles can be deemed or declared as being congruent.
1.) They must posses similar shape
2.) They must posses similar size ( that is the corresponding sides and angles of both triangles must be the same)
Triangles in (1) meet both criterias by possessing similar shape with the size and length of the corresponding angles also being the same.
Therefore, the two triangles are congruent.
A shopkeeper sold a book for $ 180.He made a profit of 20%.calculate the cost price of the book.
Please help!Am new to this chapter.
Answers
Hello!
Answer:The cost of the book is $150.
______________________________Explanation:CP = [tex]\frac{SP(100)}{100 + PP}[/tex]
Basically, what this formula is saying is that to find the cost price (CP), we must multiply the sale price (SP) by 100, and divide the product by the sum of 100 + profit percentage (PP).
CP = [tex]\frac{180(100)}{100 + 20}[/tex]
CP = [tex]\frac{18000}{120}[/tex]
CP = 150
Answer:
$150
Step-by-step explanation:
let cp=x
(20/100*x) +x=180
1/5x+x=180
6x/5=180
6x=180*5
x=(180*5)/6
x=150
Please help me with my question!!
Answers
Answer:
Step-by-step explanation:
Area of triangle = (1/2)bh
[tex]=\frac{1}{2}*25*21.65\\\\[/tex]
= 270.625 cm²
Area of 6 triangles = 6 * 270.625
= 1623.75 cm²
Trapezium:
a = 25 cm
b = 25 + 12.5 +12.5 = 50 cm
h = 21.65 cm
[tex]Area=\frac{(a+b)*h}{2}\\\\=\frac{(25+50)*21.65}{2}\\\\=\frac{75*21.65}{2}[/tex]
=811.875 cm²
Area of two trapezium = 2 *811.875
= 1623.75 cm²
Area of star = 1623.75 +1623.75
= 3247.50 cm²
Answer:
3247.50 cm sq
Step-by-step explanation:
FAST ANSWER PLEASE THANKS
Answers
Answer:
(f • g)(x) = x² - 6x + 7
Step-by-step explanation:
Suppose
f(x) = x² - 2
g(x) = x - 3
Determine
(f • g)(x) = ...
We can compose the functions by doing the following
(f • g)(x) = f(g(x))
(f • g)(x) = f(x - 3)
(f • g)(x) = (x - 3)² - 2
(f • g)(x) = x² - 6x + 9 - 2
(f • g)(x) = x² - 6x + 7
I hope this helps!
Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?
Answers
Zara ate 50 almonds last week which is 150% as many as she ate last week.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.
Let's assume that she eat x almonds last week
As per the given question, we can write the percentage would be as
⇒ 150% of x = 75
⇒ (150/100) x = 75
Apply the cross-multiplication operation,
⇒ 150x = 7500
Divided by 150 into both sides of the above equation,
⇒ x = 7500/150
⇒ x = 50
Therefore, she eat 50 almonds last week.
Learn more about the percentages here:
brainly.com/question/24159063
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The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?
answers are:
Set y = 0 in y = –x2 – 4x – 3.
Factor each side of the equation.
Use substitution to create a one-variable equation.
Combine like terms onto one side of the equation.
Answers
Answer:
Combine like terms onto one side of the equationStep-by-step explanation:
Given the first step in determining the solution to the system of equations,
y = –x2 – 4x – 3 and y = 2x + 5, algebraically as setting the two equations equal as shown: –x2 – 4x – 3 = 2x + 5, the next step will be to combine like terms onto one side of the equation. The like terms are the terms containing the variable x as shown;
-x²-4x-2x = 5+3
As we can see, the term containing x in the right hand side of the equation (i.e 2x) are being brought to the left side of the equation. This will be the next step in the calculation
Answer:
D. Combine like terms onto one side of the equation.
Step-by-step explanation:
Jeremy jogged 75 yards from his house to school how many feet did Jeremy jog? Solve this problem any way you choose.
Answers
Answer:
1 yard = 3 ft
75 yards = 75 * 3
75*3 = 225
He ran 225 ft
If you need inches = 225*12
inches = 2700 inches
Answer:
225 feet
Step-by-step explanation:
3 feet equals 1 yard
? Feet equals 75 yards
75 times 3 equals 225 feet
YEAR 9 MATHS -SYMMETRY QUESTION
Tick whether the statement below is true or false for this rectangle.
It has rotational symmetry of order 4
(1 mark)
Answers
Answer:
32cm
Step-by-step explanation:
i think it is symmetry of order 2 as it's rotational symmetry is 180°
Answer:
It has rotational symmetry of order 2 as it's rotational symmetry is 180°
BRAINLIEST WILL BE MARKED(THAT MEANS- 3 EXTRA POINTS) HERE! GRAPHING HELP 101
The graph of f(x)=x2 is shown.
Use the parabola tool to graph the function g(x)=(1/5x)2.m
The 1/5 is a fraction.
The graph with the blue highlight is my answer. LET ME KNOW IF MY ANSWER IS RIGHT OR WRONG! ASAP PLEASE AND THANK YOU WILL MARK BRAINLIEST!
Answers
Answer:
I think its wrong. For g(5)=(5/5)^2=1 and in your graph is something close to 3. The correct graph for [tex]g(x)=(\frac{1}{5}x)^2[/tex] is
Answer:
False
Step-by-step explanation:
Took the test and this is what I got
Find the third side in simplest radical form
Answers
Answer: 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
8^2 + 8^2 = c^2
64 + 64 = c^2
128=c^2
[tex]\sqrt{128}[/tex]
[tex]\sqrt{4 * 32}[/tex]
2[tex]\sqrt{4 * 8 }[/tex]
2* 2 [tex]\sqrt{4 * 2}[/tex]
4 * 2[tex]\sqrt{2}[/tex]
8 [tex]\sqrt{2}[/tex]
Please help. I will be constantly asking questions on the app to finish a class and i only have a day
Answers
Answer: C [tex]0\leq y\leq 5[/tex]
Step-by-step explanation:
The Wild Dogs and the Rattlers also have membership programs for their fans. The Wild Dogs program has an initial fee of $20 and a discounted single-game ticket price of $1.50. The Rattlers program has an initial fee of $14 and a discounted ticket price of $2.25 per game. Which linear equation represents the Wild Dogs program? Let x represent the number of games and y the total c
Answers
Answer:
b y=1.5x+20
Step-by-step explanation:
JUST DID IT ON ENDGE 2021
The equation for Wild Dogs program is y = 20 + 1.5x.
What are Linear Equations in Two Variables?The equations with one, zero, or an infinite number of solutions are known as linear equations with two variables. Each of the two variables in these equations has the largest exponent order of 1. A two-variable linear equation has the conventional form axe + by + c = 0, where x and y are the two variables. The answers can also be expressed as ordered pairs, such as (x, y). Two straight lines, which could be intersecting, parallel, or coincident, are included in the graphic representation of the system of linear equations in two variables.
Given membership program for Wild Dogs and the Rattlers,
for Wild Dogs,
initial fee = $20
ticket price per game = $1.50
for Rattlers
initial fee = $14
ticket price per game = $2.25
linear equation for Wild Dogs program,
Let x represent the number of games and y the total
y = 20 + 1.5x
for Rattlers
y = 14 + 2.25x
Hence the equation for Wild Dogs program, is y = 20 + 1.5x.
Learn more about Linear Equations in Two Variables;
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A cylinder has a radius of 3 cm and height h cm. If the volume is 7211 cm^3.
what is the value of h?
Answers
Answer:
[tex]255.04[/tex] cm
Step-by-step explanation:
[tex]\pi r^{2} h[/tex]
[tex]\pi \times 3^2 \times h=7211[/tex]
[tex]\pi \times 9 \times h=7211[/tex]
[tex]h=7211 \div 9\pi[/tex]
[tex]h \approx 255.036954[/tex]
Answer:
h = 255.2 cm³
Step-by-step explanation:
V=πr²h
7211 = (3.14)(3)²h
h = 255.2 cm³
