Answers
Answer:
h=15feet.
Step-by-step explanation:
using Pythagoras theorem
h²=p²+b²
h²=12²+9²h²=144+81h=√225h=15feet.hope it helps.
stay safe healthy and happy.[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢ ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢ \sqrt{225 \: {ft}^{2} } = c \\ ⇢ \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Related Questions
What is the equivalent expression for —0.5(t-6)
Answers
Answer:
−0.5t+3
Step-by-step explanation:
20 POINTS!!!
Calculate the volume of the right triangular prism shown below.
Answers
Answer:
630cm³
The volume of the right triangular prism is 630cm³.
If x varies directly as y and x = 74 when y = 10, find x when y = 4.
Answers
Answer:
The value of x is 21 .
Step-by-step explanation:
We are given that x varies directly as y
--- A
We are given that x = 7 and y = 28
Substitute the values in A
7 = 28k
Now equations becomes :
y = 84
Hence The value of x is 21 .
#Learn more:
Find the value of y for a given value of x, if y varies directly with x.
If y = −252 when x = 84, what is y when x = 74
Step-by-step explanation:
Solve for x. Round to the nearest tenth.
Answers
Answer:
22.8
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\20^{2} +11^{2} =x^{2} \\400+121=x^{2}\\\sqrt{521} =x\\\\or\\\\22.8 = x[/tex]
Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism?
A.312
B.402
C.372
D.492
(Square cm)
Answers
Answer:
C.372
Step-by-step explanation:
A prism is a three dimensional shape with two identical shapes facing each other known as bases.
A triangular prism has two triangular bases and three rectangle.
From the net attached:
Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12 cm = 60 cm²
Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²
Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²
Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²
Erika's first and second quarter grades are shown below. What grade does she need in
math in order to have an overall average equivalent to the first quarter? Write your answer
in the box.
Answers
Answer:
She would need an 83 in math if she wants to have an overall average equivalent to the first quarter . Tell me if im wrong
Step-by-step explanation:
Help me with this math problem please!
Answers
Answer:
1. 1.5 inches
2. 1 inch
3. 1.75 inches
4. 1.25 inches
5. 2 inches
Step-by-step explanation:
im guessing that you're asking what each place is.
Please solve with explanation
Answers
6. 380 small blocks
Explanations:
5.
Side in ABCD = 16m + 24
Side in EFGH = 3/4(Side in ABCD) = 3/4(16m + 24) = 12m + 18
Perimeter of ABCD = 4(16m + 24) = 64m + 96
Perimeter of EFGH = 4(12m + 18) = 48m + 72
Difference of perimeters = 64m + 96 - 48m - 72 = (16m + 24) units
6.
Large blocks : Small blocks = 3 : 20
57/Small blocks = 3/20
3 x Small blocks = 1140 (Cross multiplication)
Small blocks = 1140/3
Small blocks = 380
Which of the following is a true sentence? *
-7 > +5
w
O
-7 > +7
O
-7 < +5
O
0 <-5
Answers
Answer:
Step-by-step explanation:
I have the same question :(((
please simplify
4(57ab)⁰
no links, answer quickly,please
Answers
Answer:
4
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Then
4[tex](57ab)^{0}[/tex] = 1 and
4[tex](57ab)^{0}[/tex] = 4 × 1 = 4
Answer:
4
Step-by-step explanation:
since 57ab has power 0 it is equal to 1
1×4 is 4
-|3+2x|+1 [tex]\leq[/tex] -2
Answers
Answer:
x ≤ -3 ∨ x ≥ 0
Step-by-step explanation:
3+ 2x ≥ 0
2x ≥ -3
x ≥ -3/2
if x ≥ -3/2
-2x - 3 + 1 ≤ -2
-2x ≤ 0
x ≥ 0
if x ≤ -3/2
2x + 3 + 1 ≤ -2
2x ≤ -6
x ≤ -3
x ≤ -3 ∨ x ≥ 0
Write each binomial square as trinomial [tex](x-1)^2[/tex]
Answers
At the Galapagos Islands, Dr. Owen finds 102 giant tortoise eggs that he brings back to his research center to be hatched in safety. At the research center, six of the eggs hatch, and the hatchlings are placed in a nursery. Dr. Owen places equal but unknown numbers of the remaining eggs in eight different labs.
Which of the following equations best represents this situation?
Question 5 options:
8x-6=102
102x=8-6
6x+8=102
8x=102-6
Answers
Answer:
8x-6=102
Step-by-step explanation:
8x the remaining eggs in 8 different labs and the 6 that are placed in the lab and the total is 102 so 8x-6=102
3(n+4)=21 what does n =?
Answers
Answer:
3.
Step-by-step explanation:
3(n + 4) = 21
3n + 12 = 21
3n = 21 - 12 = 9
n = 3.
Answer:
n = 3
Step-by-step explanation:
Given
3(n + 4) = 21 ( divide both sides by 3 )
n + 4 = 7 ( subtract 4 from both sides )
n = 3
**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?
Answers
Answer:
the total payment need to pay is $525
Step-by-step explanation:
Given that
The amount at promissory note issued is $500
The rate of interest is 10%
And, the time period is 180 days
So, the total payment included is
= $500 + ($500 × 10% × 180 days ÷ 360 days)
= $500 + $25
= $525
hence, the total payment need to pay is $525
A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.
Write your answer as an equation with y first, followed by an equals sign.
Answers
Answer:
y = 2x
Step-by-step explanation:
x represents the amount of attendees. y is the total amount of money they get.
Can someone please help
Answers
Answer:
Step-by-step explanation:
What do u need help with???
Answer:
-10
Step-by-step explanation:
What does this mean <_ but the line under it
Answers
Answer:
it means less than or equal to :)
Step-by-step explanation:
NEED HELP ASAP PLEASE!!!!A symmetrical canyon is 4850 feet deep. A River runs through the canyon at its deepest point. the angle of depression from each side of the canyon to the river is 60. Round to the nearest tenth. Whats the Distance across the canyon? whats the Length of the canyon wall from the edge to the river? Is it more or less than a mile across the canyon?
Answers
Answer:
what is the formulae for finding a circle
X^2-x-42=
factor as the product of two binomials
Answers
to factor you need it to multiply to -42 and add to -1 which gives you -7 and 6
-6400,-4800,-3600,-2700
Answers
2(x + 10) = -60 solve for x
Answers
Answer:
2x + 20 = -60
-20 -20
2x = -80
Divide by 2 on both sides.
X = -40
Answer:
-40
Step-by-step explanation:
2(x + 10) = -60
step 1 distribute the 2 to the x and 10
2 * x = 2x
2 * 10 = 20
we now have 20 + 2x = -60
step 2 subtract 20 from each side
20 - 20 cancels out
-60 - 20 = -80
we now have 2x = -80
step 3 divide each side by 2
2x / 2 = x
-80 / 2 = -40
we're left with x = -40
Find (a) the circumference and (b) the area of the circle. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest whole number, if necessary.
PLEASE HELP ASAP
A circle with a diameter of 70 inches.
(a) circumference: about
in.
(b) area: about
in.²
Answers
Answer:
C = pi d
C = 3.14 × 70
C = 219.8 inches
A = pi r²
A = 3.14 × 1,225
A = 3,846.5
(5r+6)° (8r+5)°=180
I need help with this!!!!
Answers
Answer:
r = 1.22821395 … , − 3.05321395 …
Step-by-step explanation:
Solve the equation for r
by finding a , b , and c of the quadratic then applying the quadratic formula. Exact Form: r = − 73 − √ 29329 80 , − 73 + √ 29329 80
Decimal Form: r = 1.22821395 … , − 3.05321395 …
Have a nice day, and I hope this helps!
-kiniwih426
Someone please help me out!
Answers
Answer:
It is 3
Step-by-step explanation:
Max = how high it will go at most
Min. = how low it will go at most
Explanation: Maximum is the highest the line goes and the minimum is the lowest the line goes.
15 points
Solve the following System of Equations:
3x + 5y = 9
x - y = -5
Which of the following steps are correct for the solution?
SELECT ALL THAT APPLY.
(Select all that apply)
He multiplies the second equation by 5 and adds it to the first
equation to obtain 5x-5y= 10 after adding the 2 equations
He multiplies the second equation by -3 to eliminate the x
variable
He multiplies the second equation by -3 and adds it to the first
equation to obtain 8y = 24
The solution to the system is (-23)
The y-value for the solution is -3
Answers
[tex]_____________________________________[/tex]
ANSWER:[tex]\tt\large{y=\frac{9}{2}}[/tex]
[tex]\tt\large{x=-5+y}[/tex]
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂Which of the following triangle lengths form right triangles? Select all that apply
11.13)
(10,24, 26)
(12.16, 20)
(12.35 37)
(13.15, 19)
Answers
Answer:
well in order to make a trangle they mus add up to be greater than a side sooo i guess thats right so..... idek theres calculators online and stuff like that and you can also go on line and search woill this make a triangle calcs and theyll let you p0ut meaasurements and stuff like that to model them for you
Step-by-step explanation:
Answer:
B C D
Step-by-step explanation:
just took the quiz edge 2021
what’s the volume ??
no links
Answers
Question:
What’s the volume ?
Answer:
Volume: 8663.2
Area : 392
Step-by-step explanation:
The formula for volume is length times width times height (L x W x H)
So
28 x 28 = 784 x 22.1 = 17326.4 (Crazy right) But this is not the answer. A triangle is half of a Square so we divde by 2
17326.4 / 2 = 8663.2
The Volume is 8663.2
And if you are looking for the Area it's 392
[tex]find \: the \: area \: of \: cylinder \: \\ \\ height \: = 4cm \\ \\ base \: radius \: = 6cm \\ \\ [/tex]
Answers
Answer:
Curved Surface Area = 48π cm² (≈ 150.72 cm²)
Total Surface Area = 120π cm² (≈ 376.8 cm²)
Step-by-step explanation:
GIVEN :-
Height of cylinder = 4 cmBase radius = 6 cmTO FIND :-
Area of cylinderGENERAL FORMULAES TO BE USED IN THIS QUESTION :-
Curved Surface Area of cylinder = 2πrh
Total surface Area of cylinder = 2πrh + 2πr² = 2πr(h + r)
SOLUTION :-
Curved Surface Area of cylinder = 2×π×6×4 = 48π cm² ≈ 150.72 cm²
Total Surface Area of cylinder = 2×π×6(4 + 6) = 120π cm² ≈ 376.8 cm²
Circumference:
Circumference:
LEARNING TASK 4. Solve the given problems
PROBLEM I. Veldora walked around the circular pool. The circular pool
has a diameter of 3 meters. What is the distance that Veldora has
walked?
Step 1 - Read and understand
What is asked in the problem?
What do you know of the problem?
Step 2 - Plan
What must be done to solve the problem?
Step 3 - Solve and answer
Carry out the plan & write the final answer.
Step 4 - Check
Is the answer correct?
PROBLEM 2. How much greater is the circumference of the circle with a
diameter of 12m than another circle with a radius of 5m?
Step 1 - Read and understand
What is asked in the problem?
What do you know of the problem?
Step 2 - Plan
What must be done to solve the problem?
Step 3 - Solve and answer
Carry out the plan & write the final answer
Step 4 - Check
Is the answer correct?
ob diffront
help po plsss
Answers
Answer:
9.42 m
6.28m
Step-by-step explanation:
to determine the distance walked, calculate the circumference of the circular pool
circumference of a circle = πD
π = 3.14
D = diameter
3 x 3.14 = 9.42 m
Difference in circumference = π( diameter of bigger circle - diameter of smaller circle)
diameter of smaller circle = 5 x 2 = 10
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x ( 12 - 10) = 6.28