Answer:
10.4 inches
Step-by-step explanation:
The side lengths of a square are all equal. The formula to find the area of a square given a side length s is s².
s² = 109
Taking the square root gives us approximately 10.4 inches.
The measure of an angle is 6° less than the measure of its complement. Write and solve an algebraic equation to find the measure of each angle. I need help!
Answer:
2x + 6 = 90
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees, so the sum of the angles is 90 degrees. We could let x be the measure of the angle. The other angle is x + 6, so the answer is x + x + 6 = 90, or 2x + 6 = 90
From the given measure whose angle is 6° less than the measure of its complement.
The measure of the two angles is 47° and 43° respectively.
Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves.
Mathematically;
Let the first angle be a and the second angle be b
∴
a + b = 90° (complemntary angles)
If one of the angles is 6° less than its complement;
i.e.
Let a = 6
SO, the algebraic equation for the value of a is:
a = b - 6
Replacing the value of a to solve the equation, we have:
(b - 6) + b = 90
2b - 6 = 90
2b = 90 - 6
2b = 86
b = 86/2
b = 43°
From a + b = 90°
a = 90° - 43°
a = 47°
Therefore, we can conclude that the measure of each angle is 47° and 43°.
Learn more about complementary angles here:
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How do you know if a given relation is a function or not a function?
Answer:
In general, a relationship f (x) = y is a function only if, for each value of x that you plug into it, you get only one value for y.
Step-by-step explanation:
Sometimes the only way to tell if a given relationship is a function or not is to try various values for x to see if they yield unique values for y.
is /62 rational or irrational
Answer:
yes it is rational
Step-by-step explanation:
it is rational because if 62 can be expressed as a ratio, then a quotient is the result you get when you divide one number by another number. For 62 to be a rational number, the quotient of two integers must equal 62. it can be expressed as a fraction in the form 62/1
Max's grandparents have $6000 that they want to give to him and his brother Sam. They like Sam more than Max, so they plan to give Sam 4 times the amount they will give Max. Determine the amount of money that Sam will get. Sam's Amount=$
Answer: Same will get $4800
Step-by-step explanation:
If Sam will get 4 times the amount of money they will give Max then we can come up with the equation s = 4m where s is the amount that same get and m is the amount that Max will get.
And we know that if they combine their money they will have $6000 in total so we can also come up the equation s + m = 6000
So using the equation
s= 4m and s+m=6000 substitute the value of x into the second equation and sole for m ..
4m + m = 6000
5m = 6000
m = 1200
So we know that Max will get $1200 and Sam will get 4 times as much as that.
s= 4(1200)
s = 4800
Find the area of the shape shown below.
OH MY GOODNESS, THIS HAS BEEN UP FOR 35 MINUTES AND WITH 50 POINTS, HOW LONG DOES IT TAKE FOR SOMEONE TO ANSWER???
use the pythag theorem to find the missing side of the trIangle, then find the area of the triangle by using the formula 1/2(l*w). Then add the area of the two triangles to 200 and you have your answer.
Answer:
Try to use pythogorus theorum
Find the equation of the line shown
Answer:
y=1/2x+0
Step-by-step explanation:
Since the slope is 1/2 and it starts at the origin, the b value is 0.
Answer:
1/2x
Step-by-step explanation:
Please help don’t know the answer
Answer:
D
Explanation:
I'm just typing this part to get to 20 characters
How many solutions does the equation: 4x-8=2(2x-4) have?
I need the answer asap
Answer:
y=1/5x+7/5
Step-by-step explanation:
1. y = -2 √(25-x ) +8
2. y = -3 √(x+ 9) +4
Please help
X AND Y INTERCEPTS
1st Answer:
x = 9
Step-by-step explanation:
first you want to substitute the y
0 = -2 √(25 - x + 8)move the expression to the left
2 √(25 - x) = 8divide both sides
√25 - x + 4move the constant to the right
25 - x = 16calculate
-x = -9change the signs
x = 92nd Answer:
x = -65/9 OR x = - 7 2/9, x = - 7.2
Step-by-step explanation:
first you want to substitute the y
0 = -3 √(x + 9) = 4move the expression to the left
3√(x+9) = 4divide both sides
√(x+9) = 4/3move the constant to the right
x = 16/9 - 9calculate
x = -65/9
PLEASE HELP FAST PLEASE AND THANK YOU HELP MY SISTER MEH
Charles buys 4 basketballs at a total cost of $36. What is the price per basketball?
Divide total cost by quantity.
$36 / 4 = $9 per basketball
Which of the following lists is in order from smallest to largest?
0.05, 0.2, 0.48, 0.6
0.2, 0.05, 0.48, 0.6
0.05, 0.2, 0.6, 0.48
0.2, 0.48, 0.05, 0.6
Answer:
The first one:
0.05, 0.2, 0.48, 0.6
h^2 + 11h +18. The factored expression is
Answer:
(h+9)⋅(h+2)
Step-by-step explanation:
1.1 Factoring h2+11h+18
The first term is, h2 its coefficient is 1 .
The middle term is, +11h its coefficient is 11 .
The last term, "the constant", is +18
Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18
Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is 11 . -18 + -1 = -19
-9 + -2 = -11
-6 + -3 = -9
-3 + -6 = -9
-2 + -9 = -11
-1 + -18 = -19
1 + 18 = 19
2 + 9 = 11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 9
h2 + 2h + 9h + 18
Step-4 : Add up the first 2 terms, pulling out like factors :
h • (h+2)
Add up the last 2 terms, pulling out common factors :
9 • (h+2)
Step-5 : Add up the four terms of step 4 :
(h+9) • (h+2)
Which is the desired factorization
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(h + 9)(h + 2)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {h}^{2} + 11h + 18}[/tex]
Here, we have to find out two numbers that adds to 11 and multiplies to 18
[tex] \dashrightarrow{ \sf{ {h}^{2} + (9 + 2)h + 18}}[/tex]
Distribute h through the parentheses
[tex] \dashrightarrow{ \sf{ {h}^{2} + 9h + 2h + 18}}[/tex]
Take h as common. Similarly, take 2 as common
[tex] \dashrightarrow{ \sf{h(h + 9) + 2(h + 9)}}[/tex]
[tex] \dashrightarrow{ \sf{(h + 9)(h + 2)}}[/tex]
Hope I helped!
Best regards! :F
if x+y=3, x²+y²=5 then find the value of xy
Answer:
[tex]\huge\boxed{xy = 2}[/tex]
Step-by-step explanation:
=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]
Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]
=> [tex]\sf (3)^2 = 5 + 2xy[/tex]
=> [tex]9 = 5 + 2xy[/tex]
=> [tex]9-5 = 2xy[/tex]
=> [tex]4 = 2xy[/tex]
Dividing both sides by 2
=> 2 = xy
OR
=> xy = 2
Which set of numbers does not contain 70? A) whole numbers B) irrational numbers C) integers D) natural numbers
Answer:
B) Irrational numbers
Step-by-step explanation:
The given number is [tex]70[/tex].
We know the number which doesn't have any fractional part or decimal part is an integer. Here, there is no fractional part with the number 70, so this is an integer.
This is one of counting numbers from the set of [tex]\{ 1,2,3,4,5,...\}[/tex], so this is a natural number.
Also, this belongs to the set of whole numbers [tex]\{0,1,2,3,...\}[/tex].
But, [tex]70[/tex] can be written in the form of [tex]\frac {p}{q}[/tex] as [tex]70= \frac {70}{1}[/tex] where [tex]p=70[/tex] , [tex]q=1[/tex] are integers and [tex]q \neq 0[/tex], so this is a rational number.
We know that any number that belongs to the rational number is not an irrational number.
Hence, [tex]70[/tex] does not belong to the set of irrational numbers.
So, option [tex](B)[/tex] is correct.
Answer:
the correct answer is b
Step-by-step explanation:
i took the test
Find the slope of the line shown
Answer: m= -1/2
Step-by-step explanation:
m is the gradient of a line. and the formula for gradient is (y2-y1)/(x2-x1)
first, find a point on the line, (-2,1) and that is equal to (x1,y1)
then find another point on the line, (2,-1) and that is equal to (x2,y2)
then substitute your points into the formula above and that is equal to
(-1-1)/(2-(-2))
= -2/4
= -1/2
that is your answer
An archaeologist earns $9147 monthly. Determine the amount he is paid annually.
2nq = 3 + 7nq I'm doing math rn and I have trouble solving this
Answer:
nq = -3/5
Step-by-step explanation:
2nq = 3 + 7nq
5nq = -3
nq = -3/5
Leroy's total job benefits were $50,150 last year. His total job expenses for traveling and for professional developement for the year were $3,500. Which of the following represents his total employment compensation? a. $46,650 b. $47,650 c. $50,150 d. $53,650 Please select the best answer from the choices provided A B C D (Not D)
Based on the information given his total employment compensation is: a. $46,650
Total employment compensation:Using this formula
Total employment compensation=Total job benefits -Total job expenses for traveling and for professional development
Where:
Total job benefits=$50,150
Total job expenses=$3,500
Let plug in the formula
Total employment compensation=$50,150-$3,500
Total employment compensation=$46,650
Inconclusion his total employment compensation is: a. $46,650
Learn more about employment compensation here:https://brainly.com/question/24659002
Answer:
A. 46,650
Step-by-step explanation:
Edge 2022.
Find the value of y if EF = EG.
Answer:
55°Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram in the attachment.
From the diagram, it can be seen that the triangle is an isosceles triangle because two of its sides are parallel (i.e the same). Since two of the sides are the same, hence the two base angles will be the same.
From the diagram, <EFG = <EGF
Since <EFG = 55° hence <EGF = y = 55°
Hence the va;ue of y is 55°
A function is shown in the graph below.
Which of the following intervals are part of the domain of the function?
Select all that apply.
Answer:
Option (1)
Step-by-step explanation:
Lines given in the graph represent the piecewise function,
We will find the domain of the given pieces in each quadrant of the graph.
For a line in quadrant 2,
Domain (set of x-values) → [-4, -2]
For second line in the same quadrant,
Domain : [-1, 0]
For a line in quadrant 4,
Domain : [1, 3]
Therefore, Option (1) is the correct option,
Option (1). 1 ≤ x ≤ 3
it tom had 6 bottle of dish soap and he times 3 how many dish soap do he had all together
Answer:
18 dish soaps
Step-by-step explanation:
Answer:
it's 18 dish soap dish bottle.
Step-by-step explanation:
-2x2 - x + 7 +x2 +4x-5
Answer:
Need more?
Step-by-step explanation:
-x^2 + 3x + 2
Is this the answer?
Write the algebraic expression of "What is the sum of 2"
What is the solution to 5(m - 2) – 10 = 6+2(1 - m)?
Enter your answer in the box.
m =
Answer:
m = 4
Step-by-step explanation:
Answer:
m=4
Step-by-step explanation:
5(m-2)-10=6+2(1-m)
5m-5*2-10=6+2*1-2*m
5m-10-10=6+2-2m
5m-20=8-2m
5m+2m=8+20
7m=28
m=28/7
m=4
Solve 3[-x+(2x+1)]=x-1
Answer:
x = 1
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
square root of 1000 (simplified)
Answer:
10 √10
Step-by-step explanation:
Answer:
[tex]10\sqrt{10}[/tex]
Step-by-step explanation:
The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:
√100 × 10
Next, we separate the numbers inside the √ as such:
√100 × √10
√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:
10√10
How many ways are there to make 14 cents using any combination of pennies, nickels and dimes?
A researcher needs 60 L of 50% concentrate solution for a certain experiment, but she has only 30% solution and 70% solution. How many liters of the 30% and the 70% solutions should she mix to get what she needs?
Answer:
30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.
Step-by-step explanation:
Let 'x' liters of 30% solution and 'y' liters of 70% solution are added together to get the required 60 liters of 50% of the solution.
According to the question, 30% solution and 70% solution are mixed and so, we get
[tex]0.3x+0.7y=0.5 \cdot 60\\\Rightarrow 0.3x+0.7y=30----(1)[/tex]
Also, sum of the final solution should be 60 liters only so, we get
[tex]x+y=60----(2)[/tex]
Solving equations (1) and (2), we get
[tex]x=30 liters\\ y=30 liters[/tex]
Hence, we can say that 30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.
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