Answer:
AB = [tex]5\sqrt{3}[/tex] cm
Step-by-step explanation:
The diagonal of the bottom square is the hypotenuse of two right triangles with legs 5 and 5
So, the length of that diagonal, say x, of a 45-45-90 triangle where x is the hypotenuse is x = [tex]5\sqrt{2}[/tex]
Now that diagonal is a leg of the right triangle where AB is the hypotenuse and 5 is the length of the other leg.
So, [tex]x^{2} + 5^{2} = AB^{2}[/tex] = [tex](5\sqrt{2} )^{2}[/tex] + 25
= 50 + 25
= 75
Therefore AB = [tex]\sqrt{75}[/tex] = [tex]5\sqrt{3}[/tex]
AABC is reflected across the y-axis and translated 3 units up to create AXYZ. Select all statements that are true about AABC and AXY
What is the equation of the line whose slope is 1/3 and y-intercept is -4?
Question 1 options:
y=−4x+13
y=13x−4
y−4=13x
3y=−4x
Answer:
y=1/3x-4
Step-by-step explanation:
the slope-intercept format of the line is y=mx+b, where m is the slope and b is the y intercept.
we are given the slope (1/3) and the y intercpet (-4).
substitute the numbers into the equation
y=1/3x-4
the answer is y=1/3x-4
hope this helps!
if the original quantity is 10 and the new quantity is 3 what is the percent decrease
Answer:
70% Decrease
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
The percent decrease is 70%.
SALARY Sondra just started a job with an annual salary of $30,000. Each year, her salary will increase by 6%. If Sondra continues to work at this job, what will be her total earnings in the first 5 years, rounded to the nearest dollar?
A. 31,915
B. 40,147
C. 169,113
D. 179,260
Answer:
C
Step-by-step explanation:
1st year-> 30000
2nd year-> 31800
3rd year ->33708
4th year->35730.48
5th year -> 37874.3088
37874.3088+35730.48+33708+31800+30000= 169112.7888
≈ 169113
The solution is Option C.
The total amount of earnings of Sondra after 5 years is $ 169,113
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the annual salary of Sandra be A = $ 30,000
Now , the percentage increase in salary = 6 %
So , the equation will be
First year :
The increase in first year = annual salary of Sandra + percentage increase in salary x annual salary of Sandra
The increase in first year = 30000 + ( 6/100 ) x 30000
= 30000 + 1800
= $ 31,800
Second year :
The increase in second year = increase in first year + percentage increase in salary x increase in first year
The increase in second year = 31800 + ( 6/100 ) x 31800
= 31800 + 1908
= $ 33,708
Third year :
The increase in third year = increase in second year + percentage increase in salary x increase in second year
The increase in third year = 33708 + ( 6/100 ) x 33708
= 33708 + 2022.48
= $ 35,730.48
Fourth year :
The increase in fourth year = increase in third year + percentage increase in salary x increase in third year
The increase in fourth year = 35730.48 + ( 6/100 ) x 35730.48
= 35730.48 + 2143.8288
= $ 37,874.3088
Now , the equation is
The total earnings of Sondra is = First year salary + second year salary + third year salary + fourth year salary
The total earnings of Sondra is = 30000 + 31,800 + 33,708 + 35,730.48 + 37,874.3088
The total amount earnings of Sondra is = $ 169,112.7888
Therefore , the total amount earnings = $ 169,113
Hence , The total amount of earnings of Sondra after 5 years is $ 169,113
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200. Part A: what is David's rate of pay?
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
If you combine all the baking soda from the recipes that use exactly 1 1/4
teaspoons, how much baking soda will you have in all?
Write your answer as a fraction, mixed number, or whole number.
Answer:
Note that per 1/4 tsp of baking soda you need ample amount of acidity which is about 1 cup of buttermilk, 1 cup of brown sugar, 1 teaspoon of lemon juice, or 1 teaspoon of vinegar. Baking Without Baking Soda OR Baking Powder
Step-by-step explanation:
equation shows the relationship between X and why.
y= - 7 + 9
what is the slope of the equation?
Answer:
-7
Step-by-step explanation:
I am assuming that you meant y=-7x+9
so the the slope would be y=mx+b
so -7
What is the ansar to 2+2 please I’m 3 and I hove preK hamewark
Answer:
4
Step-by-step explanation:
2+2=4
SON 17-2 PRACTICE
11. Make use of structure. Point R lies along the directed line segment
from Y(-1,-4) to X(7,6) and partitions the segment into the ratio 1 to 4,
What is the slope of YX, and how does this slope compare to the slope
of YR?
Answer: they are the same!
Think about this, if R lies on segment YX then the slope of YX and YR is the same, it doesn't matter where R is on the line (I hope I understood the question right if I didn't I'm sorry!)
help pls I don’t get this
Answer:
x=136 degrees
Step-by-step explanation:
ok so basically the angles are the same because the line intersects both lines at the same degree.
Answer:
136°
Step-by-step explanation:
Since both line are equal in length and size and both straight then if on side is 136° then the other side must be 136°
In the equation, y= 4x - 3 the y-intercept is 4 true or false
Answer:
False
Step-by-step explanation:
Slope intercept form is y=mx+b where x is our slope and b is our y value. Thefore, 3 is our y value not 4.
help please
y is 20 less than the
product of five and
half of x.
i need to know the rate of change
Answer:
You can put this solution on YOUR website! 5X - 20 = 10 * X 5X - 20 = 10X Subtract 5x from each side-20 = 5X Divide each side by 5-4 = X. Let's make sure it works... 20 less than five times a number (-20-20) is equal to the product of ten and that number (10 * -4)
Step-by-step explanation:
IS C THE CORRECT ONE, easy I’ll make BRAINLIEST
Answer:
yes it is
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
At high tide, the bay is at 10 feet. As the tide recedes it is now at 8 feet. What is the percent change
If I'm correct the answer would be 8.
Select the correct answer. A sample of a certain type of bacteria is enclosed in a glass container on March 1st. The sample of bacteria starts to grow and cover the bottom surface of the container in such a way that the area covered by the bacteria doubles every day. If it continues to grow in this way, the bottom surface of the glass container will be entirely covered with the bacteria on March 10th. When will a quarter of the bottom surface of the glass container be covered? The bottom surface of the glass container will be covered a quarter of the way on March 9th. The bottom surface of the glass container will be covered a quarter of the way on March 6th. The bottom surface of the glass container will be covered a quarter of the way on March 7th. The bottom surface of the glass container will be covered a quarter of the way on March 8th.
Answer:
The bottom surface of the glass container will be covered a quarter of the way on March 8th.
Step-by-step explanation:
The bacteria covering the bottom surface of the glass container doubles every day. If the surface is completely covered on March 10th, then one day earlier, on March 9th, half of the surface is covered.
Similarly, if half of the surface is covered on March 9th, then one day earlier, on March 8th, a quarter of the surface is covered.
Therefore, the bottom surface of the glass container will be covered a quarter of the way on March 8th.
The bottom surface of the glass container will be covered a quarter of the way on March 8th.
What is an exponential function?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = b^x is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
The microorganism protecting the lowest floor of the glass box doubles each day. If the floor is absolutely protected on March 10th, then in the future earlier, on March 9th, 1/2 of the floor is protected.
Similarly, if 1/2 of the floor is protected on March 9th, then in the future earlier, on March 8th, 1 / 4 of the floor is protected. Therefore, the lowest floor of the glass box can be protected 1 / 4 of the manner on March 8th.
Therefore, the bottom surface of the glass container will be covered a quarter of the way on March 8th.
Learn more about exponential functions here:
https://brainly.com/question/3181916
#SPJ2
2. George worked 40 regular hours and 5 overtime hours this week. If his regular pay is $14 per
hour, and he is paid double time for overtime hours, how much did he earn this week?
Answer:
$700
Step-by-step explanation:
40(14)+28(5)
560+ 140
700
Can someone please help need it urgently will give brainliest to first answer
Answer:
Step-by-step explanation:
[tex]1220+92a\ge 8000[/tex]
For a better look just zoom zoom
Answer: im late to this answer
Step-by-step explanation:
1.a)1,5
2.b)2,6
3.c)3,8
4.d)4,10
5.e)5,13
All the plotted points are on top.
Pedro bought 7 tickets to a basketball game. He paid a total of $168. Enter an equation, using x as your variable, to determine whether each ticket cost $24 or $25.
Answer:
The answer is each ticket cost $24
Step-by-step explanation:
multiply 24 by 7
24*7=168
I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?
Answer:
Kindly refer to the attachment
Thank U NextHelp I don't get this
Step-by-step explanation:
13. 3(x - 5)(x + 5)
14. 2a(2b + 9)
PLEASE PLEASE PLEASE ANSWER OFFERING BRAINILIEST
Mr. Carter is creating a sign for the football players to run through for the homecoming game. The scale of the
drawing and the scale are shown below. What is the area in square feet of the actual sign?
a. 13 square ft
b. 15.9 square ft
c. 18 square ft
d. 234 square ft
Answer:
D) 234 square ft
Step-by-step explanation:
The formula for area is: length x width.
The length is 9 in or (using the scale) 18 ft.
The width is 6.5 inches or (using the scale) 13 ft.
Multiply 18 x 13 to get 234 square ft.
Hope it helps!
Team B has won 10 games in total how many games have the three teams won?
Answer:
If team B has won 10 games how many games were there in total u have to give the whole question only part of it...
Step-by-step explanation:
the photo says it all
describe the possible values of a
Answer:
its the second one can u make me brain list
Step-by-step explanation:
Complete the proof.
Prove: AUWX - AUW
A)
AAS
B)
ASA
C)HL
D)
SAS
Answer:D) SAS
Step-by-step explanation:
USA test prep
Determine if the expressions 100 divided by (25 divided by 5) and (100 divided by 25) divided by 5 are equivalent. If so, tell what property is applied. If not explain why.
Answer:
They aren't equivalent because when using P.E.M.D.A.S you solve what is in the parenthesis first. After you solve what is in the parenthesis the two expressions are completely different.
Step-by-step explanation:
100/(5)=20 (4)/5= .8
The requried results of the two expressions are different (20 and 0.8), the expressions are not equivalent.
Expression 1:
100 ÷ (25 ÷ 5)
Evaluate the expression inside the parentheses.
25 ÷ 5 = 5
Replace the expression inside the parentheses with its result:
100 ÷ 5
Perform the division:
100 ÷ 5 = 20
So, the result of Expression 1 is 20.
Expression 2:
(100 ÷ 25) ÷ 5
Evaluate the expression inside the first set of parentheses.
100 ÷ 25 = 4
Replace the expression inside the first set of parentheses with its result:
4 ÷ 5
Perform the division:
4 ÷ 5 = 0.8
So, the result of Expression 2 is 0.8.
Since the results of the two expressions are different (20 and 0.8), the expressions are not equivalent.
The reason why they are not equivalent is due to the order of operations. In Expression 1, we first divide 25 by 5 and then divide 100 by the result, while in Expression 2, we first divide 100 by 25 and then divide the result by 5.
Learn more about division here:
https://brainly.com/question/1296833
#SPJ6
What is the surface area of the triangular prism with the
given net?
un
12
10
Select one:
578 cm
720 cm
1152 cm
1440 cm
Answer:
576 cm²
Step-by-step explanation:
10x15=150
10x15=150
12x15=180
1/2x8x12=48
1/2x8x12=48
150+150+180+48+48=576
HELP PLEASE IM SO CONFUSED