Unit 11: Value & Surface Area
Homework 1: Area of planes Figure
Pls Help me with #11
Answers
Answer:
The area of the triangle is 351cm^2.
Step-by-step explanation:
To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.
Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.
Using Pythagoras' Theorem,
AB^2 = AT^2 + TB^2
AT^2 = AB^2 - TB^2
AT^2 = 30^2 - (26/2)^2
AT^2 = 30^2 - 13^2
AT =
[tex] \sqrt{ {30}^{2} - {13}^{2} } [/tex]
AT = 27.0370116692
So the length of AT is our height. We can now find the area of the triangle.
Area of triangle = (1/2) x 26cm x AT
Area of triangle = 351.4811516996
Area of triangle = 351cm^2 (To 3s.f.)
Related Questions
Which is the coefficient in the expression 23y + 5?
Answers
Answer:
23
Step-by-step explanation:
the coefficient is the number attached to the variable
Answer:
23
coefficient-23
variable-y
constant-5
Question 6:
Insert Picture of
David rode his bicycle for 6 hours and he
jogged for 8 hours during the past 2
weeks. If he continues bicycling and
jogging at the same rate, how many
hours will he ride his bicycle and jog in
24 weeks?
A. 192 hours
B. 336 hours
C. 168 hours
D. 14 hours
Need Help
Answers
It costs $3.95 to print a 12 in. by 16 in. color page. A friend needs to print a poster that is twice as long and twice as wide. At this rate, how much would he expect
to pay for the poster?
Answers
Answer:
$7.90
Step-by-step explanation:
Its is double both so u double $3.95
Mhanifa can you please help? This is due soon
Answers
Answer:
Picture #1
Triangles ΔJKL and ΔXYZ have:
∠X is corresponding to ∠J, since they are different (90° vs 38°), the triangles can't be similar
NoPicture #2
Perimeter is the sum of the sides each has same ratio.
The ratio of the perimeters will be same as the ratio of each corresponding pair.
Correct choice is C. 3:5
Picture #3
Use ratios of corresponding sides:
ST/PQ = TR/RPST / 28 = 105 / 30ST = 28*105/30 = 98 mCorrect choice is B
Solve: 46, 56, 67, 78, 34, 46, 57 mean: Range: Median: Mode:
Answers
Answer:
mean:54.857142857143
Range:44
median:56
mode:46
Answer:
Mean: 54
Median: 56
Range: 44
Mode: 46
If you need any help revolving around this topic,feel free to ask and I will be happy to help. Good luck!
What is the quotient of the fractions below? 2/3 divided by 5/4
A. 5/6
B. 6/5
C. 15/8
D. 8/15
Hurryyy!!!
Answers
The quotient of the fractions 2/3 divided by 5/4 is 8/20
What is a fraction?A fraction can be simply described as the part of a whole variable, number or element.
There are several types of fractions in mathematics, which includes;
Complex fractionsImproper fractionsProper fractionsMixed fractionsSimple fractionsWhat is quotient?Quotient can simply be described as the product of division of two numbers or variables,
From the information given, we have;
2/3 ÷ 5/4
take the inverse of the divisor and multiply
2/3 × 4/5
Multiply the values
8/20
Hence, the value is 8/20
Learn more about fractions here:
https://brainly.com/question/11562149
#SPJ1
pleaseeee help i don't understand how to do this
Answers
Answer:
[tex]x=\frac{5}{k}[/tex]
Step-by-step explanation:
Given expression is,
[tex]\text{log}_{3^k}243=x[/tex]
By using the law of logarithm,
[tex](3^k)^x=243[/tex]
[tex]3^{kx}=243[/tex]
[tex]3^{kx}=3^5[/tex]
By comparing exponents on both the sides of the equation,
[tex]kx=5[/tex]
[tex]x=\frac{5}{k}[/tex]
Therefore, [tex]x=\frac{5}{k}[/tex] will be the answer.
Can someone help me out real quick?
Answers
Answer:
It would be:
[tex]2.11 \times {10}^{8} [/tex]
Step-by-step explanation:
You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.
Determine which translations would map Figure K into Figure L.
Answers
Answer:
Right; 5 Units
Down; 3 Units
Step-by-step explanation:
Self explanitory, please correct me if I made a typo, mistake in answer, etc.
Answer:
right 5 units and down 3
Step-by-step explanation:
just take a point and count how many spaces it goes moving it to its corresponding point on the new image
find the area and the circumference of the circle round your answers to the nearest hundredth
Answers
Answer:
Circumference= 50.27
Area= 201.06
This is a lot but please help me I’ll mark u as brilliant
Answers
Answer:
see below
Step-by-step explanation:
2:
# of sides = 3
# of vertices = 3
name of shape: triangle
3.
# of sides = 4
# of vertices = 4
name of shape: quadrilateral
4.
# of sides = 5
# of vertices = 5
name of shape: pentagon
5.
# of sides = 6
# of vertices = 6
name of shape: hexagon
6.
# of sides = 8
# of vertices = 8
name of shape: octagon
35% of f is 14. What is f? Enter your answer as a numeric expression.
Answers
Answer:
40
Step-by-step explanation:
14/35 = f/100
35f = 14 x 100
f = 14 x 100 /35
f = 40
Answer:
40
Step-by-step explanation:
Well, 35% of 40 is 14, but I'm not confident on what it wants when it suggests to answer as a numeric expression. But, if it means in it's unadulterated, unsimplified, primitive nature, then sure, let me list the work below.
14/.35
There.
Find the mean of the following numbers: 17, 17, 15, 16, 18
Answers
Answer:
Mean: 16.6 | Median: 17 | Mode: 17
Step-by-step explanation:
Enter the correct answer in the box. What are the solutions to the equation (x - 21)^2 = 25?
Answers
Answer:
x = 26
Step-by-step explanation:
[tex] {(x - 21)}^{2} = 25 \\ x - 21 = \sqrt{25} \\ x - 21 = 5 \\ x = 5 + 21 \\ x = 26[/tex]
Answer:
x = 26, x = 16.
Step-by-step explanation:
(x - 21)² = 25
Expand the factor.
(x - 21)(x - 21) = 25
Multiply using FOIL.
x² - 42x + 441 = 25
Subtract 25 from both sides.
x² - 42x + 416 = 0
Factor.
(x - 26)(x - 16) = 0.
Set both expressions to 0 and solve.
x - 26 = 0
Add 26 to both sides.
x = 26
x - 16 = 0
Add 16 to both sides.
x = 16
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet.
Answers
Complete question :
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?
1) 2 1/2 feet
2) 3 feet
4) 5 feet
5) 8 1/2 feet
Answer:
2.5
Step-by-step explanation:
Solving for X in the perimeter equation :
2[(12+2x)+15+2x)]=74
Open the bracket
2[(12 + 2x + 15 + 2x)] = 74
2(27 + 4x) = 74
54 + 8x = 74
8x = 74 - 54
8x = 20
x = 20/8
x = 2.5
Hence, width fo border = 2.5
Carlos has 4.5 pounds of flour she needs three out of 4 pound of flour to make pizza what is the greatest number of pizzas Carlos can make.
Answers
Answer:
6 pizzas
Step-by-step explanation:
divide 4.5 by 3/4
Ernest's dining room is 19 feet wide and 21 feet long. Ernest wants to install wooden trim around the
top of the room. The trim costs $0.69 per foot. How much will it cost Ernest to buy enough trim?
Answers
Answer:
$55.20
Step-by-step explanation:
19x2=38
21x2=42
42+38=80
80x.69=55.2
HELP ME NOWWWWWW. thanks.
Answers
Answer:
LETTER C. PO 40 ang sagot
answer for brainilest and 11 points
Answers
Answer:
-16/3
Step-by-step explanation:
I am not sure if you are aware of this but I am not sure if you are aware of the fact
Isolate the variable by dividing each side by factors that don't contain the variable.
Clarissa had a strip of leather that was n yards long. She cut the strip into pieces that were each 1/4yard long, with no leather left over. She used all of the pieces and made 9 bracelets. Which equation represents this situation?
Answers
Answer:
I don't know what the options are, but my equation is (1/4) * n = 9
Step-by-step explanation:
n yards
Each strip = 1/4 yard
9 bracelets made
9 = (1/4) * n
Find the perimeter of the square with an area of 64 square feet using the equation P = 4s.
Answers
Answer:
32 ft
Step-by-step explanation:
s = number of sides
Area of a square = s²
64 = s²
[tex]\sqrt{64}[/tex] = s²
8 = s
P = 4s
P = 4(8)
P = 32
Answer:
P = 64
Step-by-step explanation:
Area ÷ 4 = One side length = 16
16 x 4 = 64
If a sweater originally costs $50 and there is a 30% off sale on sweaters, what is the sale price?
Answers
heeeeeeeeeeeelp me pleeeease
Answers
Answer:
correct answer is C hope it helps you have a good day
please mark me as brain list
Payday loans are typically $15 charge with an interest rate of 10% over a 2 wk period which variables in the interest formula are known
Answers
Answer:
Time = period of loan
Interest amount = $15
Interest rate = 10%
Step-by-step explanation:
Given:
Charge on loan = interest = $15
Interest rate on loan = 10%
Loan period = 2 weeks
The interest formula is given by the relation :
Interest = Principal * rate * time
Using the interest equation given :
The known variables Given in the question are :
Time = period of loan
Interest amount = $15
Interest rate = 10%
If a fair penny is tossed 24 times and comes up heads 18 times, what is the probability of heads coming up on the 25th flip of the coin?
Could someone explain this step by step.
Answers
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round
your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answers
Answer:
The measure of the side [tex]QR[/tex] is 8.8.
Step-by-step explanation:
Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:
[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)
Where [tex]k[/tex] is the proportionality ratio.
If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:
[tex]k = \frac{OL}{SP}[/tex] (1b)
[tex]k = \frac{55}{13}[/tex]
[tex]k = \frac{MN}{QR}[/tex]
[tex]QR = \frac{MN}{k}[/tex] (1c)
[tex]QR = \frac{37}{\frac{55}{13} }[/tex]
[tex]QR = 8.745[/tex]
The measure of the side [tex]QR[/tex] is 8.8.
A number, m, is rounded to 1 decimal place.
The result is 9.4
Complete the error interval for m.
Answers
Answer:
Dfrew
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
17.5
Step-by-step explanation:
[tex]15^{2}+9^{2}= 306\\[/tex]
[tex]\sqrt{306} = 17.5[/tex]
Answer:
x ≈ 17.5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² = 9² + 15² = 81 + 225 = 306 ( take the square root of both sides )
x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )
Algebra 2 functions. Will mark Brainliest!
Answers
Answer:
f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)
Step-by-step explanation:
HELP ASAP!!draw dotted lines to show the parallelogram or rectangle that can be used to find the area of each triangle then find the area of each triangle
Answers
Answer:
The rectangle that we could use to find the area of the yellow triangle, is a rectangle of length = 12cm and a width = 8 cm. (A image of this can be seen below).
Remember that:
The area of a rectangle of length L and width W is:
A = W*L
The area of a triangle rectangle with catheti a and b is:
A = a*b/2
Then the area of the rectangle of length = 12cm and width = 8cm is:
A = 12cm*8cm = 96 cm^2
Now we need to subtract twice the area of a triangle rectangle of catheti a = 8cm and b = 6cm
(one cathetus is 6cm because is exactly half of the length of the rectangle)
The area of each one of these triangle rectangles is:
A' = 8cm*6cm/2 = 24cm^2
The area of the yellow triangle will be:
A = A - A' = 96cm^2 - 2*24cm^2 = 48cm^2