A triangular banner is to be made according to the specifications in the figure shown, with dimensions given in inches.
image
Wooden sticks will be used to outline the perimeter of the banner in order to attach the interior material.
How many inches of wooden sticks will be required?
Answers
The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
Perimeter of a triangleThe perimeter of a triangle is the sum of the whole three sides.
Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.
The remaining sides of the triangle can be found using Pythagoras theorem.
c² = a² + b²
where
a and b are the legsc = hypotenuseTherefore,
a² = 13² - 5²
a² = 169 - 25
a = √144
a = 12 inches
Therefore,
b² = 15² - 12²
b² = 225 - 144
b = √81
b = 9 inches
Therefore,
perimeter = 13 + 15 + 5 + 9 = 42 inches
Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
learn more on perimeter here: https://brainly.com/question/16096915
Related Questions
How to find the base of a triangle if your height is 6 inches.
Answers
Answer:
Triangle Area = 1/2 x Base Length x Height Example:
Find the slope of the line that is parallel and perpendicular to the following equation.
y + 4 = -3(x +1)
Answers
Answer:
Parallel: -3
Perpendicular: 1/3
Step-by-step explanation:
First I would convert the equation into slope-intercept form to more easily identify the slope:
[tex]y+4=-3x-3\\ y=-3x-7[/tex]
Slope-intercept form is defined as y=mx+b where m is the slope and b is the y-intercept so we can identify the slope of this line as -3.
When a line is parallel to another line, this means that they have the same slope, therefore the slope of the line parallel to the equation is -3.
Perpendicular lines will have slopes that are negative reciprocals of each other, the negative reciprocal of -3 is 1/3; therefore, the slope of the line perpindicular to the equation is 1/3.
Answer:
parallel slope = -3
perpendicular slope: [tex]\sf \bold{\frac{1}{3} }[/tex]
Explanation:
y + 4 = -3(x +1)y + 4 = -3(x) - 3y = -3(x) - 3 - 4y = -3x - 7comparing with y = m(x) + b [ "m" is the slope, "b" is the y-intercept ]
slope: -3y-intercept: -7Parallel/Tangent slope:
m₁ = m₂ (same)
Perpendicular/Normal slope:
m₁ * m₂ = -1 (negatively reciprocal)
⇒ Here parallel slope:
m = -3⇒ Here perpendicular slope:
-3 * m₂ = -1m₂ = -1/-3m₂ = 1/3How do I solve this hmm
Answers
Answer:
put the numbers that are x into the equation. you always try to find y in this problem
Step-by-step explanation:
y=x+8
the first x is 0 so we do
y= 0+8
y=8
and you keep repeating this where x=1 and x= 2
Simplify the problem below and write in standard
form:
–725 + 8x3 – 6x2 – 10x3 – 9
-7x5
Answers
Your answer will be -7x^5 - 2x^3 - 6x^2 -9
Find the area of this circle. Use 3.14 for a 11 ft The area of the circle is about ft2. (Round to the nearest hundredth as needed.)
Answers
Answer:
Area of circle is 379.94 feet²Step-by-step explanation:
Given:
Radius of circle = 11 feetTo Find:
Area of circle.Solution:
Here given that radius of circle is 11 feet. Using the formula of area of circle we will get the required area of circle
Area of circle = πr²On substituting the required values:
Area = 3.14 × (11)²
Area = 3.14 × 121
Area = 379.94 feet²
Hence,
Area of circle is 379.94 feet²help me please please with all of them
Answers
Step-by-step explanation:
for question one the answer is the intial area of fire
2. is the decay factor
3. 38400
4. the initial population
Find the surface area. HELP PLEASE!!!!
Answers
Answer:
I think the answer is 792
Answer:
SA = 696cm^2
Step-by-step explanation:
First we need to identify the shapes
There are 3 rectangles and 2 triangles
Now the individual surface area for each shape
20 x 10 = 200 (1 rectangle)
1/2(12 x 8) = 48 (1 triangle)
Now we add them together
(200 x 3) + (48 x 2) = 696
(WILL MARK BRAINLIEST!) If a student attends a non-credited high school, or in their case a homeschooling program, will they have to take the SAT/ACTs to be able to attend community college? Please answer explaining how a student such as this can get into college and the requirements they would need.
Answers
Students who will attend community college are not required to take SAT or ACT exams.
Given that,
Standardized test scores should no longer be used as a factor in college admissions because such tests put equity and integrity at stake. Standardized tests, such as the SAT and American College Testing (ACT) are not equitable enough to be used to determine an applicant's status of admission.Based on the information.
About 130 colleges and universities in California no longer require SAT or ACT tests for admission in fall 2022, according to the Los Angeles Times. After the University of California removed the requirement for test scores for admission in 2020, many other colleges and universities followed.Therefore, Students who will attend community college are not required to take SAT or ACT exams.
Learn more: https://brainly.com/question/7567975
You took a test and got 12 points on it. The next week, you retook it and got 25% more points than before. How many points did you get when you retook it?
Answers
Answer:
15 points
Step-by-step explanation:
12 divied by .25 =3
so there for it would be 15 points
Answer:
The answer is 15 points. Have a great day:)
PLS HELP ASAPPPPP!!!!!
Answers
Answer:
first you write number 4,second the frequency you write number 5...for this data
Can anyone please answer the attachment
Answers
Answer:
•SEE BELOW•1) NAME OF CIRCLE : CIRCLE ABDE
2) CHORD : SEGMENT DE
3)DIAMETER: SEG DB
4)TANGENT LINE : RAY E
5) SECANT LINE : SEGMENT AB
HOPE IT HELPS!
MARK AS BRAINLIAST.
What is the measure of the third angle in a triangle if the sum of the other two angle measures is 110°?
Answers
Step-by-step explanation:
the third angle in a triangle= 70
This shows how to copy the triangle, cut the copy into pieces, and form a rectangle.
What is the area of the rectangle?
( ) square millimeters
What is the area of the triangle?
( )square millimeters
Answers
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
What is an area?The area is the amount of space occupied by a two dimensional shape or object.
Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²
Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²
The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.
Find out more on area at: https://brainly.com/question/25292087
How much blue paint did they use in all?
Answers
Answer:
2.25 ounces
Explanation:
0 ounces - 1 X2/4 ounces - 3 X3/4 ounces - 1 Xso total used:
0 * 1 + 2/4 * 3 + 3/4 * 10 + 1.5 + 0.752.25Sage borrowed $4500 from her parents to buy her a new car. So far she has repaid $2740 How much money does save still owe her parents?
Answers
Answer:1760
Step-by-step explanation:you get the money given by the parents minus the money given back to the parents
In the following expression, 6 and -6 are like terms.
6- 6 + 8a
a) True
b) False
Answers
Answer:
no there not
Step-by-step explanation:
6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign
the $120 repair bill included $36
parts and the rest for labor.
hat percent of the bill was for
labor?
Answers
Answer:
Step-by-step explanation:
36/120 for parts
x-36/120 is for labour
x = 120
120-36/120
84/120
times by 100 for percent
70%
Express as a fraction in the simplest form: 43.5%
a. 435/1000
b. 870/200
c. 87/200
Answers
Answer:
C
Step-by-step explanation:
43.5 x 10 = 435
435/1000 = 87/200 (simplified)
(- 18) × (- 5) × (- 4) =
Answers
Answer:
−360
Step-by-step explanation:
Which of the following are identities? Check all that apply.
A. sin(x+y)+ sin(x - y) = 2cos x siny
B. cos(x + y) + cos(x- y) = 2cos x cosy
C. tan(x - 2) = tan x
D. COS(x + y) - cos(x - y) = 2 cos xcosy
Answers
Answer:
B. cos(x+y) + cos(x-y)= 2cosx.cosy
Step-by-step explanation:
cos(x+y) + cos(x-y)
= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny
=cosx.cosy + cosx.cosy
=2cosx.cosy
Evaluate. 3 x 2/3 x 1/8
Answers
Answer:
[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]
Step-by-step explanation:
HOPE IT HELPS (^o^)/
#carryonlearning
A person invests 7000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 13200 dollars?
Answers
The time required to get a total amount of $13,200.00 with compounded interest on a principal of $7,000.00 at an interest rate of 5.5% per year and compounded 12 times per year is 11.559 years. (about 11 years 7 months)
Answer:
t = 11.559 years
Compound InterestGiven Data
Principal P= $7000Rate r= 5.5%Final Amount A = $13200Time t = ??(about 11 years 7 months)
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5.5/100
r = 0.055 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.055/12)] )
t = ln(13,200.00/7,000.00) / ( 12 × [ln(1 + 0.0045833333333333)] )
t = 11.559 years
Learn more about compound interest here:
https://brainly.com/question/24924853
find the measures of m and n
Answers
Answer:
m=3 n=6
Step-by-step explanation:
top diagonals are congruent
9 = 3m
solve for m
m = 3
bottom diagonals are congruent
m + 8 = 2n -1
plug in 3 for m
3 + 8 = 2n -1
solve for n
11 +1 = 2n
12 = 2n
n=6
Yo I need to bring up my math grade bad so
y<-2x+3
(please show it graphed already :D)
Answers
Which of the following equations represents the problem "The sum of two consecutive integers is -17"?
2x + 2
2x + 1 = -17
2x = -17
Answers
Answer:
2x + 1 = -17
Step-by-step explanation:
consecutive integers would be
x and x+1
when you add them together its
2x+1
P,Q and R are points on a circle, centre O, if angle OPQ=36 degree, what is the size of angle PRQ.
Answers
Answer:
18
Step-by-step explanation:
an angle subtended by a chord to the center is twice to that subtended by the same chord to the circumference
HELP ASAP!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
0.36
Step-by-step explanation:
0.67 - 0.31 = B
B = 0.36
I hope this helps!
Pls Help Choose the correct word to complete the statement: If BC intersects circle A only at point B, and mCBA = 90°, then CB is a
Answers
Line CB touches circle A only at one point (point B), hence CB is a tangent.
What is a circle?A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
When a line intersects a circle in exactly one point the line is said to be tangent to the circle
Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.
Find out more on circle at: https://brainly.com/question/24375372
giving brainiest and 85 points!
Answers
Answer:
12 560 cubic feet
Step-by-step explanation:
radius of circular cross section = 20ft/2 = 10ft
Area of circular cross section = πr²
= 3.14 x 10 x 10
= 314 square feet
Volume of cylindrical tank = 314 ft² x 40ft
= 12 560 ft³
Place each function below in the appropriate cell to show the transformation from
Answers
Answer:
See below ↓↓↓↓
Step-by-step explanation:
Top left box
f(x) = 2x² + 4
g(x) = 2f(x) - 3
g(x) = 2(2x² + 4) - 3g(x) = 4x² + 8 - 3g(x) = 4x² + 5Top right box
f(x) = 2x² + 4
g(x) = 2f(x) + 3
g(x) = 2(2x² + 4) + 3g(x) = 4x² + 8 + 3g(x) = 4x² + 11Bottom left box
f(x) = 2x² - 4
g(x) = 2f(x) - 3
g(x) = 2(2x² - 4) - 3g(x) = 4x² - 8 - 3g(x) = 4x² - 11Bottom right box
f(x) = 2x² - 4
g(x) = 2f(x) +3
g(x) = 2(2x² - 4) + 3g(x) = 4x² - 8 + 3g(x) = 4x² - 5