Answers
Answer:
hypoténuse = 15 in
b ² = 15² - 9²
b ² = 144
b = √144 = 12
Perimeter = 15 + 9 + 12 = 36 inches
Step-by-step explanation:
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Find the missing side of the triangle.
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
We should find the leg of this right triangle, not the hypotenuse.
The hypotenuse, the longest side, is already given to us.
We can find it using Pythagoras' Theorem:
[tex]\Large\textbf{$a^2+b^2=c^2$}[/tex].
We know b and c, we need to find a.
[tex]\bf{a^2+9^2=15^2}[/tex] | square
[tex]\bf{a^2+81=225}[/tex] | subtract 81
[tex]\bf{a^2=144}[/tex] | square-root both sides
[tex]\bf{a=\pm12}[/tex]
And we should automatically cross out this extraneous solution of "a=-12", because side lengths can't be negative!
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{a=12}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]
Related Questions
What are the solution(s) for the quadratic equation?
f(x)=x^2+12x+36
Please show work!
Answers
Let's see
[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x(x+6)+6(x+6)=0[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]
[tex]\\ \rm\rightarrowtail x=-6[/tex]
Is my answer correct?
Answers
Answer:
yes
Step-by-step explanation:
YOU DID IT'S A GOOD DAY
Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4
Answers
Answer:
Step-by-step explanation:
He is incorrect.
We are not only subtracting 1 from 5 but 1/4 also, so the result has to be less than 4.
5 - 1 1/4
= 5 - 1 -1/4
= 3 3/4.
How many solutions does the system of equations below have?
y = 8x - 7
y = 8x + 4/5
no solution
one solution
infinitely many solutions
Answers
Answer: No Solution
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and get: 8x - 7 = 8x + 4/5.
However, notice that if you consolidate the x terms and subtract 8x, you get 0 - 7 = 4/5.
7 can never equal 4/5, so there is no solution :)
if the circumference of a circle is 4πrcm, find diameter
Answers
Answer:
1.274cm
Step-by-step explanation:
What is the measure of angle L and F? WILL GET BRAINLIEST!!!!!!
Answers
SinL = 6/10
L = sin-1(6/10)
L = 36.87°
Angle F
SinF =8/10
F = sin-1(8/10)
F= 53.13°
find the approximate radius of a circle with circumference of 198 centimeters
Answers
Answer:
C=2πr
r=C/2π
198/2π
≈31.51268cm
Find the value of x and y
Answers
Answer:
x=120
y=60
Step-by-step explanation:
i) y=60 [ corresponding angles]
ii) x + 60 = 180 [linear pair]
or, x = 180- 60
therefore, x is equal to 120
Solve
-6=|3x|
A. X =2;x=-2
B. X=12;x=-12
C. X= 1/2; x = -1/2
D. No solution
Answers
Answer:
D. [tex]\displaystyle No\:Solution[/tex]
Explanation:
The absolute value of an integer is NEVER negative, hence, your answer. ON THE OTHER HAND, these are the only exceptions:
[tex]\displaystyle -6 = -|3[-2]| \\ -6 = -|3[2]|[/tex]
The negative absolute value of an integer however, IS negative.
I hope you are capable of differentiating between the two, and as always, I am joyous to assist anyone at any time.
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft.Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
Answers
The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
SpeedLet x be the speed of the current in km/h units
Speed of the boat traveling against the current= (15-x) km/h
Time spent traveling 36 miles against the current=36/15-x hours
Time spent rafting36miles (with the current) =35/x hours
Equation=36/x-36/15-x=9
Multiply both sides by x×(15-x)
36×(15-x) - 36x = 9x×(15-x)
540 - 36x - 36x=135x-9x²
9x²-207x+540=0
x²-23x+60=0
(x-3)×(x-30) = 0
Roots are x= 3 and x= 30
Since 15-x must be positive, the only root x = 3 survives
Hence:
Speed =3 km/h
Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.
Learn more about speed here:https://brainly.com/question/4931057
what iis the square root of 158
Answers
Answer:
The answer is 12.56, which can be rounded to 12.7 or 13. :)
About 12.5698051
The graph of g(x) is shown. Determine the transformations from the parent function f(x)=x2 to the new function g(x)=15x2+5
Answers
Answer:
The graph of g is translated down 5 units from the graph of f and stretched horizontally
Step-by-step explanation:
was correct on test :)
pls brainliest XD
.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.
if 45% of an item is 72.00 what is the original price. someone help me
Answers
Answer:
45% x 72.00 = 32.4
Step-by-step explanation:
hope this helped :)
Answer:
If 45% of an item is 72.00 what is the original price is, $160.00
Step-by-step explanation:
Sammy’s dad drove their car 150 miles in three hours. At this rate, how far would he drive in nine hours?
Answers
Answer:
distance in 3 hours = 150 miles
distance in 1 hour = 150/3 = 50 miles
distance in 9 hours = 50 × 9 = 450 miles
Answer:
Sammy's dad traveled 450 miles in 9 hours.
Step-by-step explanation:
mph = [tex]\frac{Miles}{Hours}[/tex]
Miles = 150
Hours = 3
Plug into the formula of distance/time
[tex]\frac{150}{3} = 50mph[/tex]
Sammy's dad is driving at 50mph
In three hours you can use this formula: [tex]50mph=\frac{miles}{9}[/tex]
Multiply both sides by 9: [tex]50mph * 9 =\frac{miles}{9} *9[/tex]
Solve:
[tex]50mph * 9 =miles[/tex]
[tex]450 =miles[/tex]
Sammy's dad traveled 450 miles in 9 hours.
Hope this helped! :)
4. Which expression is equivalent
to 5(a + a + b)
a. 15ab
b. 10a + b
c. 5a +5b
d. 10a + 5b
PLEASE HELP
Answers
Answer:
d. 10a + 5bStep-by-step explanation:
5(a + a + b) = 5(2a + b)
use the distributive property:
a(b + c) = ab + ac
= 5 · 2a + 5 · b =10a + 5b
Answer:
[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
⇒ 5(a+a+b)⇒ a+a=2a
Rewrite the problem down.
[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]
Multiply should be expanded.
⇒ 5*2a=10a
⇒ 5*b=5b
Rewrite the problem.
⇒ = 10a+5b
Therefore, the final answer is 10a+5b.I hope this helps you! Let me know if my answer is wrong or not.
find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help <3 if you can’t see, the diameter is 76
Answers
Answer:
[tex]\displaystyle 4536,4597918...\:cm.^2 = A[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{r}^2 = A \\ \\ 38^2\pi = A \hookrightarrow 1444\pi = A \\ \\ \boxed{4536,4597918... = A}[/tex]
I am joyous to assist you at any time.
Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work
Answers
Answer:
Option A
Step-by-step explanation:
Given:
Angle=45°Base= 9hypotenuse = x[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]
[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]
[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]
[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]
Twenty wooden spheres, each with a radius of 2 inches, are packed snugly into a square box that is 18 inches on each side. The remaining space is filled with packing beads. What is the volume occupied by the spheres?
Vsphere=[tex]\frac{4}{3}\pi r^3[/tex]
Answers
Answer:
670.21 inches^3
Step-by-step explanation:
To find the volume of the spheres, all you need to know is the formula for the volume of a sphere, which you've included in your problem. From the problem, you also know that r = 2. From here, you calculate the volume of 1 of the spheres, which turns out to be:
V = 33.51032
Since there are 20 spheres in this box, you multiple the volume of a single sphere by 20 to get the total volume occupied by the spheres.
V = 20 * 33.51032
V = 670.2064
If you round to 2 decimal places, this becomes 670.21.
Find the area. :)
please and thx
Answers
Answer:
132 cm²
Step-by-step explanation:
To find the area of the figure, start by dividing the figure into smaller rectangles.
Area of figure
= area of shaded rectangle +area of unshaded rectangle
[tex]\textcolor{steelblue}{\text{Area of rectangle= length ×breadth}}[/tex]
Shaded rectangle
Length= 4 cm
Breadth= 6 cm
Area
= 4(6)
= 24 cm²
Unshaded rectangle
Length= 9 cm
Breadth= 12 cm
Area
= 9(12)
= 108 cm²
After finding the area of each rectangle, we can add the two areas together to obtain the total area of the figure.
Area of figure
= 108 +24
= 132 cm²
5) According to the histogram, how many shipments were received that had at most 30 bulbs broken? A) 4 B) 5 C) 9 D) 13
Answers
Answer:
The answer would be A) 4
What is the answer to this equation
3 1/2 - 27/8
Answers
Answer:
1/8
Change 27/8 into a mixed number 3 3/8
Answer: 1/8
Step-by-step explanation: I explain in the photo ! have a good day
please solve this i need help (5 stars to the correct ones) 73.6 ÷ 10
Answers
Answer:
0.736
Step-by-step explanation:
Answer:
7.36
Step-by-step explanation:
Calculator...
What is the approximate length of the apothem? 0. 4 cm 0. 8 cm 1. 5 cm 1. 9 cm.
Answers
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
What is apothem?
The apothem of a regular polygon is a line segment from the center to the midpoint of one of its sides.
Let a represent the length of the apothem. Hence half of the side = 18/2 = 9 cm.
Using Pythagoras:
18² = a² + 9²
The length of apothem for a regular hexagon with radius of 18 cm and side of 18 cm is 15.6 cm
Find out more on apothem at: https://brainly.com/question/369332
HELP PLEASE!!!!
Mr. Smith earns $75 a day plus $35 for each car he sells. Ife is the amount he earned and is the number of cars he sold, which expression below shows how much Mr. Smith will earn in a day?
Ooor 76
O35675
On 350
Answers
Answer:
should be 110
Step-by-step explanation:
hope that helps!
Copare use <,>, or =
Answers
Answer:
0.125 = ⅛
Step-by-step explanation:
Both are equal.......
the volume of a cylinder is 411π in^3. The height of the cylinder is 9 in. Calculate the diameter of the cylinder to the nearest tenth of a centimeter.
Answers
Answer:
13.5 in, or 34.3 cm.
Step-by-step explanation:
First, use the formula volume = pi * r^2 * height- you have the volume, so just solve the equation 411pi = pi * 9 * r^2 for r, and you get that r = 6.75. Since diameter is equal to 2r, multiply 6.75 by 2 to get your answer of 13.5 inches. The questions asks for the diameter in centimeters though, which makes it 34.3 cm.
Hopefully this helps- let me know if you have any questions!
Carmen went for a drive in her new car. She drove 437.5 miles in 7 hours. What was her speed?
Please help!!!!
Answers
Answer:
62.5 miles per hour
Step-by-step explanation:
Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.
Hopefully this helps- let me know if you have any questions!
Sharlotta's favorite candy is pixie sticks. A packet of 6 pixie sticks cost $ .42. How many packets of pixie sticks can Sharlotta buy for $13.02
Answers
the answer is 29.02
first I had to find out if it was cents or dollars I just thought of cents
so I did 42 cent minus 13.02 and that equals to 29.02
AC, DF and YZ are straight lines and all angles are in degrees.
By first considering the angles
on line ABC, show that AC is
parallel to DF.
Answers
Answer:
ac is parallel to df because it doesn't intersect with each other
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
X = 35
IF line AC and DF were parallel, this means that 2x + 50 = 5x - 55 because corresponding angles are equal
2(35) + 50 = 120
5(35) - 55 = 120
Thus, AC is parallel to DF
The admission fee at a small fair is $1. 50 for children and $4. 00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and adults attended?
Answers
(I don't really know how to explain it though.)