Answer: Value of x is, 8
Step-by-step explanation:
Given: ,.....[1]
To find the value of x:
Using exponent rules:
Taking square both sides in [1] we have;
Simplify:
or
Multiply both sides by we get;
Simplify:
or
Simplify:
x = 8
Therefore, the value of x is, 8
Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?
Answer:
.........................
For the pair of similar triangles, find the value of x.
Answer: The value of x is 184.
Step-by-step explanation:
According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.
Now calculating the value of x for the given pair of similar triangles.
According to the given figure:
24 × (2x - 8) = 45 × (x + 8)
(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)
48x - 192 = 45x + 360
48x - 45x = 360 + 192
3x = 552
x = 184
Thus, the value of x is 184.
pls help i really need this grade
simplify (3³ × 3⁴) ÷ 3²
can someone explain how to do this :) im very confused
Answer:
the answer is 36q^7
Step-by-step explanation:
multiply the bases and add the exponents
Nick spends 18% of his monthly budget on his rent payment, which is $700.
Which proportion can be used to calculate Nick’s total monthly budget?
Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]
Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]
In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]
What is the volume of the following rectangular prism?
Answer:
14 2/3 units^3
hope this helps
have a good day :)
Step-by-step explanation:
7 1/3 x 2=14 2/3
The volume of the rectangular prism is 14.66 square units.
It is required to find the volume of the rectangular prism.
What is prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given:
The volume is calculated as:
V= w h l
V= 7 1/3 x 2
V= 22/3 x 2
V= 44/3
V=14.66 square units.
Hence, the volume of the rectangular prism is 14.66 square units.
Learn more about prism here:
brainly.com/question/23946563
#SPJ6
The angles of a triangle measure 50°, 62°, and x. Find the value of x.
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]
Question 1 = y = -5x + 50
On the graph, c = 50 [ y = mx + 50 ]
30 - 15 = 15
7 - 4 = 3
15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]
ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50
If x = 9, y = (9 x -5) + 50, = -5
y = -5
Question 2 = y = 2.5x + 5
c = 5
m = 5/2 = 2.5
y = 2.5x + 5
when y = 30 > x = 10
30 = 2.5x + 5
30 - 5 = 25
25 = 2.5x
x = 25/2.5
x = 10
Question 3 = y = -10x + 50
c = 50
m = (30 - 20) / 1 = 10
y = -10x + 50
when x = 4 > y = (-10 x 4) + 50
y = -40 + 50
y = 10
the union of 2 sets is all the elements of both set's, excluding the common elements true or false
Answer:
true
Step-by-step explanation:
AUB=A+B-(A∩B)
You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answer:
Total income= $100
Step-by-step explanation:
Giving the following information:
Hourly rate=$10
To calculate the total income, we need to use the following formula:
Total income= hourly income*number of hours
For example, for 10 hours shoveling in a week:
Total income= 10*10
Total income= $100
What do these terms represent? -8,-4, 0, 4, 8, 12
Answer:
They represent positive and negative numbers.
Step-by-step explanation:
If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equation
Answer:767
Step-by-step explanation:
find the value of x.
Answer:
x = sqrt(33)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 7^2
16 + x^2 = 49
Subtract 16 from each side
x^2 = 49-16
x^2 = 33
Take the square root of each side
sqrt(x^2) = sqrt(33)
x = sqrt(33)
[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]
To find the value of x. Let's use this formula:[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
Imagine that "a" is the "x".[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]
Hence, The value of x is,[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]
_________
#LetsStudy
Look at the attached screenshot.
Answer:
yes...
Step-by-step explanation:
what is the smallest number
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
offering all my points this is needed!!!
What is the perimeter of this rectangle?
w2 + 13
W + 5
A w3 + 18
B 2W + 2w + 36
o w3 + 5w? + 13w + 65
D w
+ W + 18
DA
(ОВ
Answer:
B. 2w^2 + 2w + 36
Step-by-step explanation:
The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.
Applying this logic to this problem, the equation would be as follows:
[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]
Then, we simplify. The like terms go together, and you have your solution.
[tex]2w^{2} + 2w+36[/tex]
High school geometry
Answer:
It would be 12. Do you need me to explain or are you good?
Step-by-step explanation:
Answer:
6√2
Step-by-step explanation:
Andrea played dominos nonstop for 52 minutes in Little Havana. If each match lasted 13 minutes, how many matches did she play in that time?
Answer:
4 Matches
Step-by-step explanation:
According To the Question,
Given, Andrea played dominos nonstop for 52 minutes.And, each match lasted 13 minutes .Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]
Thus, Total Matches = 52 / 13 ⇔ 4 Matches
farmer joe used 2/13 bags of seeds on each acre of land. If there are 6 acre of land, how much seed did he use?
Answer:
12/13 bags
Step-by-step explanation:
2/13 * 6 = 12/13
In a right angled triangle where angle A= 90° and AB=AC. What are the values of angle B.
Answer:
45°Step-by-step explanation:
This is an isosceles right triangle as two legs are congruent.
The angle measure of both acute angles (B and C) is same:
m∠B = 90°/2 = 45°A teacher records the test scores of several students. 74,82,70,80,72,76,71,75,78,72.
Find the mean
PLS HELP ASAPPPP
THANK YOU SO MUCH!!!!
Answer:
75
Step-by-step explanation:
Math
Answer:
75
Step-by-step explanation:
add up all the numbers, then divide by how many numbers there are
Got another question for you lovely folk, don’t understand how to do this one either
Answer:
97.12°
Step-by-step explanation:
the value of the highlight angle =
tan~¹ 1/3 + tan~¹ 5/1 =
18.43° + 78.69° = 97.12°
Factor the algebraic expression: 28a + 12
Answer:
hope it is helpful to you
Answer:
4(7a+3)
Step-by-step explanation:
28a+12
take common
4 is the common number for both the terms because it divides 28 and 12 exactly.
4(7a+3)
Can you guys help me
Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.
Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?
Answer:
The mass of the object will be "25 kg".
Step-by-step explanation:
Given that,
Mass,
m = 15 kg
Acceleration,
a = 5 m/s²
Now,
The force will be:
⇒ [tex]F = ma[/tex]
[tex]=15\times 5[/tex]
[tex]=75 \ N[/tex]
When, acceleration (a) = 3 m/s²
⇒ [tex]F = ma[/tex]
or,
⇒ [tex]m=\frac{F}{a}[/tex]
[tex]=\frac{75}{3}[/tex]
[tex]=25 \ kg[/tex]
Select the correct answer. 2 Jay stores hay in cubic stacks on his farm. If the length of each stack is 3 yard, what is the volume of hay in each stack? O A. cubic yard O B. cubic yard OC. cubic yard OD 8 cubic yard 27 Reset Next
Cubic stack would mean all the sides are the same length.
The length of the side is given as 3 yards.
Volume = 3^3 = 3 x 3 x 3 = 27
Volume = 27 cubic yards.
A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ
Answer:
To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
sin x = O/H
cos x = A/H
tan x = O/A
where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.
sin x = f/d
cos x = e/d
tan x = f/e
Step-by-step explanation:
The trigonometric ratio's as per given side length of a triangle are as follow,
cosx = f/e , sinx = d/e , and tanx = d/f.
Let us consider triangle name as ABC,
Measure of angle ABC = x degree
Measure of angle BAC = 90 degree
Side length AB = f
Side length AC = d
Side length BC = e
For angle x ,
AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.
cosx = adjacent side / hypotenuse
= f / e
sinx = opposite side / hypotenuse
= d / e
tanx = opposite side / adjacent side
= d / f
Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.
learn more about triangle here
brainly.com/question/29122914
#SPJ2
Triangle ABC has angle measrures as shown
(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work
Answer:
[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:
[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]
Solving for [tex]x[/tex]:
[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]
Substitute [tex]x=11[/tex] to solve for angle C:
[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]
