Answer:
La²+8La+16 = La²+70
Step-by-step explanation:
8La+16 = 70
8La=70-16
La=54/8
La= 6.75
Area b = (6.75+4)*(6.75+4)
Area b = 10.75*10.75
Area b =115.563
The area of a square is the square of its side lengths
The area of square B is 116 centimeter square
Let the side length of square A be (a), and the side length of square B be (b)
So, we have:
[tex]\mathbf{A_a = a^2}[/tex]
[tex]\mathbf{A_b = b^2}[/tex]
From the question, we have:
[tex]\mathbf{A_b = 70 + a^2}[/tex]
[tex]\mathbf{b = 4 + a}[/tex]
Take square of both sides
[tex]\mathbf{b^2 = (4 + a)^2}[/tex]
[tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex]
Substitute [tex]\mathbf{b^2 = 16 + 8a+ a^2}[/tex] in [tex]\mathbf{A_b = b^2}[/tex]
[tex]\mathbf{A_b = 16 + 8a+ a^2}[/tex]
So, we have:
[tex]\mathbf{16 + 8a+ a^2 = 70 + a^2}[/tex]
Subtract a^2 from both sides
[tex]\mathbf{16 + 8a = 70}\\[/tex]
Subtract 16 from both sides
[tex]\mathbf{8a = 54}[/tex]
Divide both sides by 8
[tex]\mathbf{a = 6.75}[/tex]
Recall that:
[tex]\mathbf{A_b = 70 + a^2}[/tex]
So, we have:
[tex]\mathbf{A_b = 70 + 6.75^2}[/tex]
[tex]\mathbf{A_b = 115.5625}[/tex]
Approximate
[tex]\mathbf{A_b = 116}[/tex]
Hence, the area of square B is 116 centimeter square
Read more about areas at:
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Given that ∠S ≅ ∠A, and AB ≅ ST , what is the third congruence needed to prove that ΔABC ≅ ΔSTU by ASA?
Answer:
angle-side-angle. that's my answer
9 cm
8 cm
13 cm
9 cm
11 cm
O 455cm
172cm?
Submit Answer
Step-by-step explanation:
13×9+((13-8)×11)/2
117+55/2
154.5
Find the coordinates of P.
Here is my answer. I hope this is helpful. If there is something you don't understand in my solution, you can ask me.
help me please and thank you
Answer:
The answer is A, B, and C.
Step-by-step explanation:
All the others are on the wrong side of the graph.
Jane goes to H&M for some Fall clothes. She finds a scarf for $24.99, a shirt for $35.50, and a pair of jeans for $67.85. If H&M was having a Fall Day sale where everything was 35% off, how much did Jane spend at H&M?
Answer: $75.92
Step-by-step explanation:
pls mark me branliest
What does Smoking Cause And Is Vaping Bad for you Lungs? Please help due in 7 min
smoking weed is good vaping sucks
Step-by-step explanation:
Answer:
Smoking causes lung damage. Smoking can cause lung cancer, heart disease, strokes, emphysema, heart murmurs, insomnia, asthma, and a wide variety of other diseases. Vaping is bad for your lungs. Vaping may cause issues with teeth and gum health, and the liquid that creates the vapor is dangerous to adults and children if they swallow or inhale it or get it on their skin.
Step-by-step explanation:
find the measure of the arc or angle indicated. please help and i need work shown... brainliest answer for work shown
Answer:32
Step-by-step explanation:
Answer:
190°Step-by-step explanation:
Inscribed angle is half the measure of the intercepted arc:
m∠EFG = 1/2mEG1/2mEG = 95°mEG = 2*95° = 190°May i get some help with a step by step concept of the first question please
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Answer:
J 3/4 cup
Step-by-step explanation:
Step 1: read and understand the question.
The question is giving you amounts of flour and 2 types of sugar.
The question is asking for a difference between two quantities:
the amount of flour (2 1/4 cups)the combined amount of sugar (3/4 cup white, 3/4 cup brown)Step 2: determine the relations you need to use to solve the problem
You need the combined amount of sugar, which you find by adding the quantities of each of the kinds.
3/4 cup white + 3/4 cup brown = 6/4 cup sugar combined
You need the difference of that quantity from the quantity of flour, which you find by performing subtraction:
flour - sugar = (2 1/4) - (6/4) . . . . cups
Step 3: Use your knowledge of arithmetic.
(2 1/4) -(6/4) = 9/4 -6/4 = (9 -6)/4 = 3/4
Step 4: Answer the question that was asked.
The difference between the flour and sugar amounts is 3/4 cup.
Six times the sum of a number and 9 equals 8: translate the sentence into an equation
Answer:
6 times x+9=8
Step-by-step explanation:
Answer:
6(x+9)=8
Step-by-step explanation:
Antonio needed a loan worth 5,600. If the bank calculates interest at 3.1% compounded semi annually how much does he owe in 3years?
4x+a=4x+3. How do you get to 6? Please explain and write down like you would write on paper.
Answer:
a=3 x= all reals
Step-by-step explanation:
I actually did not get 6 for an answer
4x+a=4x+3
cancel equal terms on both sides of the equation
a=3
which means the x would be all reals cause it is true.
At a local print shop, 12 copies can be made for $3. At this rate, how much would it cost to make 84 copies? Fill out the table of equivalent ratios until you have found the value of x
I'm here to get some points very sorry have a nice day
what the answer for the poles in feet.
Answer:
A)10 feet tall
Step-by-step explanation:
The man casts a shadow half his height and so does the telephone pole
A. 20 mph
B. 35 mph
C. 70 mph
D. 100 mph
The answer is B. 35 mph
Speed is shown as distance/time
If you pick a point, for example 70 miles and divide it by the time which is 2 hours, then you get 35 miles per hour
The Problem: Phillips Health and Beauty Spa is replacing one of its workstations. The interest on a loan secured by the spa was $93.50. The money was borrowed at 5.5% simple interest for 2 years. What was the amount that they borrowed?
Answer:
$850
Step-by-step explanation:
Amount that was borrowed = interest / (interest rate x time)
93.50 / (0.055 x 2) =
93.50 / 0.11 = $850
can someone help please 13 points and those are the only answer options for all 4
Answer:
1 - x-axis, 2 - y-axis, 3 - y-axis, 4 - x-axis
Step-by-step explanation:
for the equation below y=2.5^x-6
what is the y intercept of the graph
a) -6
b) -5
c) -3.5
d) 2.5
Answer:
kvh
Step-by-step explanation:
m
which is the distance between the point with the coordinates (-2,3) and the line with the equation 6x-y=-3
Answer:
I think it is 6x+3=y (y=6x+3)
the length width and height of a box form an arithmetic sequence. if the surface area of the box is 365.04 square units and the box's smallest dimension is 3 units, what is the volumes of the box in cubic units?
Answer:
the answer will be 365.04÷3
=121.68
Can someone help me asap
Answer:
1) 4
2) 5
3) -23
4) 8
5) 7
6) -64
7) -10
8) 19
9) 9
10) -56
Answer:
1) = -4
2) = 5
3) = 17
4) = 8
5) = 7
6) = -64
7) = -10
8) = 19
9) = 9
10) = -56
Step-by-step explanation:
1) (-4 + 2)^2 = -2^2 = -4
2) 25 / (9 - 4) = 25 / 5 = 5
3) 4 * 5 - 3 = 20 - 3 = 17
4) 2(2 + 2) = 2 * 4 = 8
5) (-10 + 5) / 5 + 8 = -5 / 5 + 8 = -1 + 8 = 7
6) (-3 - 1)^3 = -4^3 = -64
7) 5(5 - 7) = 5 * -2 = -10
8) 2 * 7 + 5 = 14 + 5 = 19
9) (5 * 3 + 3) / 2 = (15 + 3) / 2 = 18 / 2 = 9
10) 8(-1 - 6) = 8 * -7 = -56
Ryan and Taylor are both saving money to buy new video game
equipment. Ryan's savings plan can be modeled by the function
s= 15m + 50 where m represents the number of months since Ryan
started his plan, and s represents the amount of money saved in
dollars. The table shown represents Taylor's savings plan.
Taylor's Savings Plan
Number of
Month Amount Saved ($)
0 25
1 45
2 65
3 85
Select the options that correctly complete the sentences.
greather or less than -----answer
Ryan's rate of change is ________ Taylor's rate of change .
Ryan'sstaring balanced is_______ Taylor's starting balanced.
We want to compare the rates of change and starting balances of Ryan and Taylor, the correct answers are:
"Ryan's rate of change is _less than_ Taylor's rate of change.""Ryan's starting balance is greater than Taylor's starting balance."So we know that Ryan's savings plan can be modeled by:
S(m) = 15*m + 50.
This means that he starts with 50, and saves 15 per month, then:
Ryan's rate of change = 15 per monthRyan's initial balance = 50For Taylor we have a table:
month amount saved:
0 25
1 45
2 65
3 85
So, in month 0 he has 25, thus, his initial balance is 25.
And each month the amount saved increases by 20, then the equation is:
T(m) = 20*m + 25
Then we have:
Taylor's rate of change = 20 per month.Taylor's initial balance = 25Now we can see that:
"Ryan's rate of change is _less than_ Taylor's rate of change."
"Ryan's starting balance is greater than Taylor's starting balanced."
If you want to learn more about rates of change, you can read:
https://brainly.com/question/18904995
find AB and BC with the help of given in figure complete following activity
Answer:
let base side be x=AB=BC
by using Pythagoras law
h²=p²+b²
(√8)²=x²+x²
8=2x²
x²=8/2
x=√4=2=AB=BC
Step-by-step explanation:
sin BAC=BC/AC
<BAC=sin-¹(2/√8)=45
What number is 16% of 46? Which equation and solution represents each situation?
Answer:
the answer to this question is 7.36....its equation is 16/100*46
Answer:
7. 36 is the answer.
Step-by-step explanation:
but, what equation, and what situations?
The MTC Theater holds 250 people, and last night’s performance sold out! Students paid $3.00 per ticket, while adults paid $5.00 per ticket. Last night’s show brought in $1050.
Write a system of equations for the problem.
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Answer:
s + a = 2503s + 5a = 1050Step-by-step explanation:
Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...
s + a = 250 . . . . . . total of tickets sold
3s +5a = 1050 . . . dollar value of tickets sold
_____
The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.
What is 200×300?
A. 60,000
B. 5,000
C. 50,000
D. 6,000
Answer:
A. 60,000
Step-by-step explanation:
The answer is A because 2 × 3 is 6 then you add the 4 0's. So it would be 60,000
Show whether or not the points with coordinates (1,3) (4,2) (-2,6) are vertices of a right triangle
Answer:
No
Step-by-step explanation:
See attached
A boogie board that normally sells for $69 is on sale at a 35% discount. what is the total cost of the boogie board?
Answer: 44.85
Step-by-step explanation:
(4-9-8)÷3×3please help AFAP
Answer:
I am not really sure but try this -13/9 or -13 divided by 9
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
So, we're gonna use PEMDAS here. First, we have to subtract what's in the parentheses.
4-9 is -5. -5 - 8 is -13. We can rewrite the equation now.
-13/3*3
The answer is -13
Please help me! 20 points!
[Inequalities Review]
Answer:
x<-3
x=>-5
Step-by-step explanation:
I think this is right... I haven't done inequalities in several years
Answer:
top is correct byereeeeeeeeee
Which equation can be used to answer the question below?
Christopher made 12 of the 40 recipes he downloaded from the Internet. What percent of the recipes did he make?
A X=12(40)
B 12x=40
C 12=x/40
D 12=40x
Christopher made 30% of the recipe downloaded
He made 12 of the 40 recipes he downloaded from the internet.
He downloaded a total of 40 recipes.
PercentagePercentage is is a number or ratio that can be expressed as a fraction of 100. Therefore,
The percentage of the recipe he made can be calculated as follows;
percentage of recipe made = 12 / 40 × 100percentage = 1200 / 40 = 30%
Therefore, he made 30% of the recipe downloaded
learn more on equation here: https://brainly.com/question/4345896