Answers
Answer:
[tex]\boxed {\boxed {\sf b= \sqrt{192}}}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use Pythagorean Theorem to find the sides.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
In this triangle, 8 and x are the legs because they form the right angle. 16 is the hypotenuse because it is opposite the right angle.
[tex]a=8 \\c=16[/tex]
Substitute the values into the formula.
[tex]8^2+b^2=16^2[/tex]
Solve the exponents.
8² = 8*8= 64 16²=16*16=256[tex]64+b^2=256[/tex]
Subtract 64 from both sides to isolate the variable.
[tex]64-64+b^2= 256-64 \\b^2=192[/tex]
Take the square root of both sides.
[tex]\sqrt {b^2}=\sqrt{192}\\ b=\sqrt{192}[/tex]
The missing side is equal to √192
Related Questions
Help me please I’ll mark brainliest!!!!
Answers
Answer:
1.5
Step-by-step explanation:
Explanation:
0.3 x 5 = 1.5
Which of the rectangular boxes shown has the greater volume?
A. The green box.
B. The purple box.
C. They have equal volumes.
D. There is not enough information to tell.
Answers
Answer:
C
Step-by-step explanation:
volumes are width x height x length
4 x 2 x 2 = 16
8 x 2 x 1 = 16
Jean can pack 5 cartons in 15 minutes. Which expression can be used to show the number of cartons Jean can pack in x hours? Group of answer choices
Answers
Answer: 20x
Step-by-step explanation:
First we should note that 60 minutes = 1 hour. Therefore, 15 minutes = 15/60 = 1/4 hour
Since Jean can pack 5 cartons in 1/4 hours, the number of carton that he can pack in one hour will be:
= 5 ÷ 1/4
= 5 × 4
= 20 cartons.
Therefore, to get the number of cartons that Jean can pack in x hours, we will multiply 20 by x. This will be:
= 20 × x
= 20x
Gal Gadot borrows $125,000 at a yearly simple interest rate of 4.5%. How much would she pay, in total, if she paid off the loan in 15 years?
Answers
Answer:
$241,910.31
Step-by-step explanation:
Compound interest
125,000(1.045)^15
Also, Gal Gadot is the best!
an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.
Answers
Answer:
83.5km/h
Step-by-step explanation:
To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set
Elizabeth has $35.50 to spend on Math tutoring. Each session costs $9 plus a one- time registration fee of $7.45. Let the variable t represent the number of tutoring sessions. Which equation represents the number of sessions Elizabeth can attend for $35.50?
Answers
Answer:
2 tutoring sessions
Step-by-step explanation:
do 9 + 7.45 = 16.45 x 2 = 32.9. You can’t add another 16.45 otherwise it’d go over 35.50
Answer:She can afford 3 lessons.
Step-by-step explanation: If you strt
with the fee of 35.50 you can subtract the one-time fee (7.45) to make it 28.05 and then divide that by 9 to get 3.12 which means she can afford tree lessons.
What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Select one:
O A. y = - 2x - 2
O B. y = 2x + 2
O C. y = x - 2
O D. y = 2x - 2
Answers
Answer:
D. y = 2x - 2
Step-by-step explanation:
1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:
[tex]2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}[/tex]
A line placed in slope-intercept form is represented by the formula [tex]y = mx + b[/tex]. The [tex]m[/tex], or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.
2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.
We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.
Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex]. Since [tex]m[/tex] represents the slope of the line, substitute 2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:
[tex]y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2[/tex]
So, option D is correct.
What is the area? pleaseee helppppp
Answers
Answer:
A = 12 sq in
Step-by-step explanation:
A = bh/2
A = 6(4)/2
A = 12
Solve the 4 letter code please I need it before midnight, it's not a word.
Answers
9514 1404 393
Answer:
EAGI
Step-by-step explanation:
Your choices are correct except for "B". Graph 3 has a dashed line, so the inequality symbol is <, not ≤.
Imagine the center of the Seattle Great Wheel is located at (0, 0) on a coordinate grid and the radius lies on the x-axis. Write an equation of a circle for the Seattle Great Wheel and then sketch an image of your equation on the graph provided or insert your own graph.
Center is 0,0 and diameter is 175
Answers
Answer:(x-0)^2 + (y-0)^2=30^2
Step-by-step explanation:
The equation of the circle is x^2 +y^2 = 7656.25
How to determine the equation of the circle?The given parameters are:
Center = (0,0)
Diameter = 175
The equation of a circle is represented as:
(x - a)^2 +(y - b)^2 = r^2
Where
Center = (a,b) = (0,0)
r = radius = 175/2
So, we have:
(x - 0)^2 +(y - 0)^2 = (175/2)^2
Evaluate
x^2 +y^2 = 7656.25
Hence, the equation of the circle is x^2 +y^2 = 7656.25
Read more about circle equations at:
https://brainly.com/question/1506955
pls help figure out part c, part e, and part f
Answers
part e: alternate interior angle
part f : vertical angle
PLEASE HELP ASAP!! THIS IS LATE! :(
Which answer best summarizes the state's responsibilities to the national government under the Articles of Confederation?
A. States had to pay taxes set by Congress and provide soldiers during war time.
B. States had to provide representatives to Congress but soldiers were sent only to state militaries.
C. States sent representatives to Congress and provided soldiers and some officers to protect the country.
D. States provided money in the form of taxes, sent representatives to Congress, and had to supply soldiers during war.
Answers
Answer:
States sent representatives to Congress and provided soldiers and some officers to protect the country.
Jonathan is preparing for a triathlon he biked 3.5 miles on Thursday and 4.25 miles on Friday on Saturday he biked 12 miles how much farther did he bike on Saturday than he did on Thursday and Friday combined
Answers
Answer: 4.25 miles
Step-by-step explanation:
The distance he biked on Thursday and Friday combined is:
= 3.5 + 4.25
= 7.75 miles
On Saturday he biked 12 miles. The number of miles he biked over Thursday and Friday is:
= 12 - 7.75
= 4.25 miles
I need help plz answer!!!
Answers
Answer:
No.
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
If you graph the equations, then you see that (3,8) is not the solution.
Tony's friends ate 0.6 of the appetizers he made. Which point on the number line best represents 0.6?
A. R
B. S
C. Q
D. P
Answers
P=0,4
Q=0,6
R=0,8
S=1,0
A clothing business finds there is a linear relationship between the number of shirts, n, it can sell and the price, p, it can charge per shirt. In particular, historical data shows that 27000 shirts can be sold at a price of $39, while 33000 shirts can be sold at a price of $15. Give a linear equation in the form p=mn+b that gives the price p they can charge for n shirts
Answers
30000000 you are welcomeeeeeeeeeeeee
Make a graph equation with Y-X = 5
Answers
First we add x to both sides in order to isolate y
That leaves us with y=x+5 which is your answer.
Which equation below describes the angle measurements of a night isosceles
triangle?
А
90 + 2(45) = 180
B
180 = 90 + 40 + 50
c (180) = 60
D (90) + 90 = 180
Answers
this is a trigonometry question
so SIN COSIN AND TANGENT
Answers
Answer:
x = 6.71
Step-by-step explanation:
use Pythagoras.......
Find the area of the semi circle with a radius of 2 feet
Answers
Answer:
area of semi circle πr=π×2=44/7 feet²
Find a unit vector in the direction of the given vector.
v = 9i − 6j
Answers
Given:
The given vector is:
[tex]v=9i-6j[/tex]
To find:
The unit vector in the direction of the given vector.
Solution:
If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is
[tex]\hat v=\dfrac{v}{|v|}[/tex]
Where, [tex]|v|=\sqrt{a^2+b^2[/tex]
We have,
[tex]v=9i-6j[/tex]
Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,
[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]
[tex]|v|=\sqrt{81+36}[/tex]
[tex]|v|=\sqrt{117}[/tex]
[tex]|v|=3\sqrt{13}[/tex]
Now, the unit vector in the direction of the given vector is:
[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]
Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].
5
A system of equations is shown.
y = 2x – 7
y = -x + 5
What is the solution to the system of equations?
Answers
Answer:
x = 4
Step-by-step explanation:
Eliminate y by setting the first equation equal to the second:
2x - 7 = -x + 5
Combining like terms, we get:
3x = 12, so that x must be 4.
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were 140 five-dollar bills, and 255 one-dollar bills. What expression could he use to find out how much money was collected?
Whoever answers first gets brainlest! :)
Answers
Answer:
(140 × $5) + (255 × $1)
Therefore, the money was collected is $ [tex]955[/tex].
What is an expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Here given that,
Keiko’s class collected money to donate to charity. When Keiko counted the money, there were [tex]140[/tex] five-dollar bills, and [tex]255vvv[/tex] one-dollar bills.
So, it is of the form:-
[tex](140[/tex] ×[tex]5)+(255[/tex] ×[tex]1)[/tex]
[tex]=700+255\\\\[/tex]
[tex]=955[/tex]$
Hence, the money was collected is $ [tex]955[/tex].
To know more about the expression
https://brainly.com/question/2802161
#SPJ2
Anybody please help me
Answers
pls whats the solution to this question.
(x-1÷x)^6.
and also solve with full workings.
Answers
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]
[tex] \frac{ {x}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]
[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]
[tex](x - 1 \div x) {}^{6} [/tex]
Arrange the powers
[tex] \frac{x {}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]
#❀CARRY ON LEARNING❀#❀KEEP ON LEARNING❀#❀LEARNING IS FUN❀#❀LETS LEARN❀#❀NoToCopyPaste❀❀hope it helps(◕ᴗ◕✿)❀❀Keep safe!❀help me please?
The function ƒ(x) = 2x + 1 indicates:
a downward shift of 1 unit.
a shift of 1 unit to the left
an upward shift of 1 unit.
None of these choices are correct.
Answers
HELP PLEASEEEEE I'll give you a crown
Answers
Answer:
8.64%
Step-by-step explanation:
Write it as a decimal
7/81 = 0.0864
0.0864 is the decimal representation for 7/81
For Percentage Conversion :
step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction
Fraction = 0.0864/1
step 2 multiply 100 to both numerator & denominator
(0.0864 x 100)/(1 x 100) = 8.64/100
8.64% is the percentage representation for 7/81
The length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2 . Find the dimensions of the rectangle. Length : Width :
Answers
Answer: length = 10 yards
Width = 4.5 yard
Step-by-step explanation:
Let the width be represented by x.
Since the length of a rectangle is 1 yd more than twice the width. This will be:
= (2 × x) + 1
= 2x+1
Area = 45
Note that length × breadth = Area
(2x + 1) × x = 45
2x² + x = 45
Equate the equation to 0
2x² + x - 45 = 0
2x² + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9) = 0
2x = 9
x = 9/2
The width is 4.5 yard
Length = 2x + 1
= 2(4.5) + 1
= 9 + 1
= 10 yard
What is the volume of a sphere with a radius of 3 inches?
12 pi cubic inches
24 pi cubic inches
36 pi cubic inches
48 pi cubic inches
Answers
Answer:
36π cubic inches
Step-by-step explanation:
V = 4/3 πr³
radius (r): 3
= 4/3π(3)³
= 4/3π (27)
= 36π
A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle
Answers
7.2 bc
10x7.2:72
So to find the area of a triangle u have to divide by 2, so
72 divided by 2 is 36, so 7.2 is the height
