Answer: c = [tex]\sqrt{89}[/tex]
8² + 5² = c²
64 + 25 = c²
[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]
[tex]\sqrt{89}[/tex] = c
The length of the third side is 9.4.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Applying Pythagorean theorem.
Third side = x
x² = 8² + 5²
8 x 8 = 64 and 5 x 5 = 25
So,
x² = 64 + 25
x² = 89
x = √89
x = 9.4333
Rounding to the nearest tenth
x = 9.4
Thus,
The length of the third side is 9.4.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter o out of the hat?
Answer: 2/6 or 1/3
Step-by-step explanation:
SCHOOL has 6 letters in it and two O's. Therefore, it would be 2/6 or simplified it would be 1/3.
That was FUN!
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pts)
Answer:
Here is the answer I solved.
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
Answer:
(x - √7*√x) / (x - 7)
Step-by-step explanation:
I suppose your expression is √x / (√x + √7)
(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)
= (x - √7*√x) / (x - 7)
Answer:
Its A
Step-by-step explanation:
I just took the test on edge
What symbol makes the statement true?
4/6 3/8
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
3 time the sum of a number and 5
Answer:
3(x+5) is the answer.
$7,000 is invested in an account that earns 1.5% annual interest, compounded quarterly. What is the value of the account after 18 years?
Answer:
$9,151.38
Hopefully that is correct!!
Please help ASAP Gavin works as a salesperson at an electronics store and sells phones and phone accessories. Gavin earns a $12 commission for every phone he sells and a $3.50 commission for every accessory he sells. On a given day, Gavin made a total of $135 in commission and sold 12 more accessories than phones. Determine the number of phones sold and the number of accessories sold.
There were
____phones sold and
____ accessories sold.
Answer:
6 phones and 18 accessories
Step-by-step explanation:
12P + 3.50A = 135
A = 12 + P
12P + 3.50(12 + P) = 135,
12P + 42 +3.50P = 135
15.50P = 93
P = 6 phones
A = 12 + 6 = 18 accessories
12) help pls I have the answer I just need to show the work
Which expression is correct for “y”?
Answer: A
Answer:
y = tan-1 (31/23)
Formula: SOHCAHTOA
TOA: tan = opposite/adjacent
31 / 23 = 1.3478
tan-1 of 1.3478 is 53.4264
53.4264 = 53 (rounding to the nearest degree)
y = 53 degrees
Are vacuoles small or large? PLS HELP I NEED THIS ANSWER FAST!
Answer:
large
Step-by-step explanation:
plz help me with this math question
Answer:
8^2-60 , 11^1 , 2^2x5
Step-by-step explanation:
2^2= 4
4 x 5 = 20
11^1= 11
8^2= 64
64-60 = 4
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
x = negative 6
x = negative 4
x = negative 2
x = negative 1
Answer:
A.-6
Step-by-step explanation:
on edg
Answer:
A) -6
Step-by-step explanation:
You have a cup containing 4 green skittles, 5 red skittles, 7 yellow skittles, and 10 purple skittles. What is the probability of not pulling a purple skittle?
Answer:
about 62%
Step-by-step explanation:
add all of the numbers
subtract the number of purple skittles
do 16÷26
multiply your answer by 100
get 61.5
round up
Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. Long and 8 ft. High. Two walls each have one door, and both doors measure 3 ft. By 7 ft. One wall has a window that is 3 ft. By 5 ft. The doors and window do not have to be painted. A gallon of paint can cover 300 ft.2. A hired painter claims that he will need three gallons to paint the one room. Is the estimate correct?
Answer:
The estimate is not correct?
Step-by-step explanation:
Given data
Area of wall = 18*8
=144ft^2
=4*144
=576ft^2
Area of doors
=3*7
=21ft^2
=2*21
=42ft^2
Area of window
=3*5
=15ft^2
Hence the total surface area of the room
=576-42-15
=519ft^2
The amount of paint needed= 519/300= 1.73
Approximately 2 gallons
We are told that 1 gallon will cover 300ft^2
Hence 3 gallons will cover 300*3= 900ft^2
Therefore the painter overestimated the amount of paint needed
As 2 gallons will do the job
please help
find the value of x in the isosceles triangle shown below.
Answer:
x = square root of 55
x^2 = 8^2 - 3^2
x^2= 64 -9
x = square root of 55
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. What is the cost per tile ?
Plan help with one I really need it
Answer:
Step-by-step explanation:
1) Area of garden = side * side
= 10* 10
= 100 Sq.m
2) Area of each flowerbed = 1*1 = 1 sqm
3) Area of 4 flowerbed = 1 * 4 = 4 sqm
Area of the remaining garden = Area of garden - area of 4 flower bed
= 100 - 4
= 96 sq.m
4) Length of the fence = 4 *side
= 4 * 10 = 40 m
5) Cost of planting in the remaining garden = 96 * 20
= ₹ 1920
James ran 3 kilometers after school. How many meters did James run?
Answer:
3000meters
Step-by-step explanation:
3×1000= 3000
Answer: 3000 Meters
Step-by-step explanation:
There are 1000 meters in a kilometer.
Multiply that by 3 and get 3000
WILL GIVE BRAINLIEST
Which expression correctly represents "nine less than the quotient of a number and four, increased by three”?
A. N/4 - 9 + 3
B. 4/N - 9 + 3
C. 9 - n/4 + 3
D. 9 - 4/n + 3
Answer:
c
a fraction bar Is just a division bar, it's c.
what are the coordinates for the center of the circle in the length of the radius X squared plus Y squared minus X minus 2Y -11 over four equals zero
Given:
The equation of a circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
To find:
The center of the circle and its radius.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is center and r is the radius of the circle.
The given equation of the circle is:
[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]
Write the given equation in standard form of a circle.
[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]
[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]
[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]
On further simplification, we get
[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]
[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]h=0.5,k=1,r=2[/tex]
Therefore, the center of the circle is (0.5,1) and radius is 2 units.
A 30-foot long escalator forms a 41° angle at the second floor. Which is the closest height of th
141
30 feet
A 20 feet
B. 22.5 feet
C. 24.5 feet
D. 26 feet
Answer:
[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]
Step-by-step explanation:
We can use basic trigonometric functions to find the closest height of the escalator.
Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.
Since all triangles have an angle sum of 180:
[tex]90+41+x=180[/tex] [tex]131+x=180[/tex] [tex]x = 180-131[/tex] [tex]x=49[/tex]Now we know that the triangle looks something like this.
/ | 41°
/ |
/ |
/ |
30 / |
/ |
/ |
/ |
/__________| 90°
49°
We need to find the length of the side between the 41 and 90° angle.
To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).
Let's set up an equation and solve with our calculator.
[tex]\text{sin}(49) = \frac{\text{opposite}}{\text{hypotenuse}}[/tex] [tex]\text{sin}(49) = \frac{x}{\text{30}}[/tex] [tex]30 \cdot \text{sin}(49) = x[/tex]We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.
Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.
Hope this helped!
Answer:
The answer is B.
Step-by-step explanation:
B. 22.5 feet
Im giving 30 points pls help
Step-by-step explanation:
Pathagory and Theorem
a^2+b^2=c^2
(x-3)^2+(x-4)^2=6^2
expand:
2x^2-14x+25=36
2x^2-14x-11=0
x=(\sqrt{71}+7)/2
perimeter=(x-3)+(x-4)+6=2x-1
insert the value for x into 2x-1
[tex]\sqrt{71}[/tex]+6=perimeter
Hope that helps :)
9514 1404 393
Answer:
2x -1
Step-by-step explanation:
The perimeter is the sum of the side lengths.
P = 6 + (x -4) + (x -3)
P = 2x -1 . . . . . . collect terms
The perimeter is 2x -1.
_____
Additional comment
There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.
The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?
Answer:
The total cost of the tablet is $840
Step-by-step explanation:
Here, we want to calculate the total cost
Let the total cost be $x
From the ratio, the total ratio is 3 + 4 + 1 = 8
so,;
3/8 * x = 315
3x = 8 * 315
x = 8/3 * 315
x = 8 * 103
x = 840
Part B
What is the density of the plne log? Show your work.
Answer:
Please Provide the an attachment.Then i can show u my answer
Please help this is timed
Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.
The volume of each cube is _____.
____ sugar cubes will fit into the container.
Step-by-step explanation:
multiple 1/2 × 2 × 1 1/2
you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math
What are the values of x in the quadratic equation below? Select two options. ( x − 2 ) ( x + 4 ) = 0
PLS HELP I NEED IT ASAP ILL MARK BRAINLIEST
Answer:
Earth : Moon
1 : 27
Step-by-step explanation:
24 hrs = 1 day
so the ratio is up there
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
What is another word for zeros?
1. roots
2. axis of symmetry
3.vertex
4. y-intercept
Answer:
I think it's vertex bestie not sure tho lmk if it's wrong
Find the domain of the graphed function
Answer:
D. 2 ≤ x ≤ 5
Step-by-step explanation:
Notice that there are no points on the graph for x ≤ 2 and x ≥ 5. Or another way to look at it is that the x's are between 2 and 5, inclusive.
The domain is the set of possible x values. Therefore, 2 ≤ x ≤ 5 is the set of values for the domain
On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight
Answer:
Step-by-step explanation:
What is the answer for the wuesy
Answer:
22
Step-by-step explanation:
6 divided 6 equals 1 and 1 times 22 equals 22
Brainliest ?