Answer:
side length of the smaller room = 5 m
Side length of the larger room = 8 m
Step-by-step explanation:
Total area of two square room = 89 m²
Area of a square = side²
Let
x = side of the smaller square
x + 3 = side of the longer square
Total area = area of room A + Area of room B
89 = x² + (x + 3)²
89 = x² + x² + 6x + 9
89 - 9 = 2x² + 6x
2x² + 6x = 80
2x² + 6x - 80 = 0
Divide through by 2
x² + 3x - 40 = 0
Solve quadratic equation using factorization method
x² + 8x - 5x - 40 = 0
x(x + 8) -5(x + 8) = 0
(x - 5) (x + 8) = 0
(x - 5) = 0 (x + 8) = 0
x = 5 x = -8
The side length of a square room can not be a negative value
Therefore, side length of the smaller room = 5 m
Side length of the larger room = 5 + 3
= 8 m
-8(y + 5) = -8y - 40 TRUE or FALSE
Answer: true because that’s what you get when you use the distributive property
Step-by-step explanation:
5. What is the value of x?
Answer:
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90 triangle the ratio of sides, respectively, is 1 : [tex]\sqrt{3}[/tex] : 2
you can set up a proportion like this to solve for 'x':
[tex]\sqrt{3}[/tex] / 1 = 15 / x
cross-multiply:
[tex]\sqrt{3}[/tex]x = 15
x = 15/[tex]\sqrt{3}[/tex]
rationalize the denominator by multiply top and bottom by [tex]\sqrt{3}[/tex]
you get 15[tex]\sqrt{3}[/tex] ÷ 3 which is 5[tex]\sqrt{3}[/tex]
Larry could ______ to make his budget work and afford the ticket.
Answer:
I need the answer choices
Step-by-step explanation:
50 time 40 please awnser correctly
Answer:
2000
Step-by-step explanation:
50 * 40 = 2000
Answer:
the awnser is 2000 have a nice day
Simplify the expression using the distributive property 3(2x+5) =___
Step-by-step explanation:
[tex] \text{3(2x + 5)}[/tex]
Distribute 3 through the parentheses :
⇢[tex] \tt{3 \times 2x + 3 \times 5}[/tex]
⇢[tex] \tt{6x + 15}[/tex]
[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{6x + 15}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex]\huge\boxed{\bold{6x+15}}[/tex]
Step-by-step explanation:
Hi there!
The Distributive Property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
All we should do is "distribute" a.
Now, let's solve the given problem.
[tex]\bold{3(2x+5)}[/tex]
[tex]\bold{6x+15}[/tex]
Hope this helps!
#HaveAnAwesomeDay
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever}[/tex]
planning a skating party at original charges $19 base free and $7 per person for catered parties you don't want to spend more than $130 write a inequality for the situation and find the maximum people you can invite
Answer: List all of the solutions.
19
=
7
=
130
=
explanation:
You find a sales receipt from a store that shows the total price as $40, and the total amount paid including sales tax as $42.
Answer:
Solving your equation gives you $2.00.
2/40 = 0.05 = 5%
Step-by-step explanation:
happy to help ya :)
Answer:
So they charged $2 for every 40 dollars, so simplify. 2/40 divided by 2 = 1/20 is the unit rate
Step-by-step explanation:
hi can someone pls help me find the slope?!!
Answer:
The slope is [tex]-\frac{2}{4}[/tex] or you can do -1/2
Step-by-step explanation:
the slope is m = -2 / 4 = -1 / 2 = -0.5
Factor completely.
7x5 – 21x4 + 14x3 =
=
[tex]7x^5-21x^4+14x\\ \\ 7x^3(x^2-3x+2)\\ \\ 7x^3(x-1)(x-2)[/tex]
Eli is following this recipe to bake bread rolls.
He uses 700 mL of water.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
420 g flour
21 g salt
9 g yeast
45 mL oil
300 mL water
You eat 1/4 box of cereal at breakfast. How long will 2 7/8 boxes last?
Answer:
11.5 days
Step-by-step explanation:
Step-by-step explanation:
step 1. 2-7/8/(1/4) = (23/8)/(1/4) = 23/2 = 11-1/2.
step 2. it doesnt say how often you eat 1/4 boxes. let's assume it is daily.
step 3. answer: 11-1/2 days.
Dell is a salesperson he sold a snowboard for $117 and earn 14% commission how much commission did Dell earn
Answer:
Dell made $16.38
Step-by-step explanation:
Please help! Will mark brainliest
Answer:
surface area=602.88 in^2+
Step-by-step explanation:
top & bottom:
6^2 x Pi x2=36 x 3.14x2=226.08 in^2
vertical side:
circumference X height
2(6)(Pi)x10=2(6)(3.14)(10)=376.8 in^2
376.8+226.08=602.88 in^2
surface area=602.88 in^2
DUE TODAY PLEASE HELP WITH
Answer:
Ok, Heres some facts I guess, I dont really know.
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As the weeks go by, Jonas learns all the colors, but still sees only glimpses of them in the world around him.
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Jonas is angry that the world is devoid of color; it's not fair, he says.
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The Giver asks him to explain. Jonas argues that without color, there aren't choices. He can't decide in the morning whether he wants to wear blue or red. He knows what color your shirt is isn't really important, but he thinks the ability to choose at all is what matters—on principle.
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Jonas elaborates by discussing Gabriel, whom The Giver already knows about. What if Gabriel could choose which color toy he wanted?
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The Giver explains that, if that were the case, then Gabriel might make the wrong choices.
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Jonas realizes the wisdom. He agrees that people shouldn't be allowed to choose their own spouses or jobs, because they might be wrong. "We really have to protect people," he says, "from wrong choices," because that way "it's safer."
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Well, that was quick. So much for Jonas the freedom-lover.
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Still, though, Jonas doesn't quite feel satisfied with his own conclusion. He feels frustrated.
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Actually, he feels angry. All the time. He's angry at his friends, for example, for being satisfied with their lives, which are so dull and not vibrant.
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He even tries to get Asher to see color one day, which doesn't go over so well, especially when he tries to touch Asher to make him see it. (Touching is a no-no in this community.)
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Step-by-step explanation:
I put lines between em' just for fun
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26,062, 26,064, __
2,898, 322, 324, 36
What is the missing number in the pattern above?
How does -2(8 + 6g) equal -16 - 12g.
Answer:
use mathwa.y
Step-by-step explanation:
-7 + 5 = 19
Help PLS
Step-by-step explanation:
19 is the answer I'd don't know why it's so hard
Answer:
-7 + 5 = -2
Step-by-step explanation:
I used calculator
me need help on math
Answer:
B. 75
Step-by-step explanation:
To find x (the number of students who went to the zoo) you would isolate the variable. 6x + 25 = $475 -> 6x = $450 -> x = 75. (Brainliest would be appreciated and if you have any questions then type them in the comments.)
To find the area of a composite figure, you must find the area of each polygon
and then add their areas together to find the total area of the composite figure.
What is the height of the triangle?
A. 13cm
B. 6cm
C. 8cm
Answer:
6 cm
Step-by-step explanation:
Here, we want to get the height of the triangle
As we can see , the whole
length is 13 cm
This is obtained by adding the length of the side of the rectangle to the height of the triangle
Thus, we have that
height = 13-7
height = 6 cm
A rectangular room is 15 feet long and 10 feet wide. A scale drawing of the room has a width of 5 inches. What is the length of the room in the drawing??
A. 10.0 inches
B. 5 inches
C. 7.5 inches
D. 30.5 inches
HALP! I don't understand this! I need an explanation right away! Thank you for your help!
Answer:
1/2
Step-by-step explanation:
there are 13 cards in each type so
heart or diamond would mean either one so 13 +13=26
26/52
1/2
TOTAL NUMBER OF HEART CARDS= 13
TOTAL NUMBER OF DIAMOND CARDS= 13
PROBABILITY OF AN EVENT
= NUMBER OF FAVOURABLE OUTCOMES
TOTAL NUMBER OF POSSIBLE OUTCOMES
Probability of getting a heart card♥=13/52 =1/4
Probability of getting a DIAMOND card♦= 13/52 =1/4
Probability of getting a heart and a diamond card =26/52 =1/2
I hope you got it!!!...right!!
A. Solve the following linear inequalities.
1. x + 7 <1
2. x + 3.2 < 6.4
3. 3x < 12
4. x/2.5 >5
5. 4a 23.6
6. 1.6 b< 8
7. Z + 4.2 < 2.1
Answer:
1. x < −6
2. x < 3.2
3. x < 4
4. x>12.5
5. ? there is no "<, >" sign
6. b<5
7. z<−2.1
pls give brainliest
Step-by-step explanation:
see photos for explanation
Pleaseeee helpppp answer correctly !!!!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
I'm not really sure what the answer is here but I think it's 20...
ILL GIVE U BRAINLYIST
Answer:
C a rectangle 4 by 3
Step-by-step explanation:
answer this question plz
Write down the first even multiple of 9
Answer:
The answer is 18. Coz 2*9= 18
Answer:
18
Step-by-step explanation:
its the second multiple of 9, and an even number, since 9 x 2 = 18 !!
hope this helped !!
WILL GIVE BRINALIEST!
Suppose the daily high temperatures for a six-day period in a northern city were −23°F, −29°F, −28°F, −27°F, −21°F, and −28°F. Calculate the average daily high temperature.
°F
-21, -23, -27, -28, -28, -29 order them least to greatest and then find the middle if there is not a middle then put -27.5 as your answer for the median. For the mean add up all the number then you should get -156 then divide it by 6 which should give you -26 for the mean. and for the mode you should get -28 as the one that occurs the most often.
mean: -26
median: -27.5
mode: -28
Keep your dreams alive. To accomplish anything requires faith, vision, hard work, and dedication. Remember all things are possible for those who believe.” Write about three factors you need to accomplish your goals and make your dreams come true. Use evidence from your daily life. Provide a suitable title and then develop your ideas in a well-organized essay of (150-200 words). Your essay should have a thesis statement that states the main idea(s), topic sentence(s) that you elaborate well by giving sufficient details and examples, and a meaningful conclusion. Remember to revise and proofread your essay.
Answer:
Step-by-step explanation:
A person who never dreams will never be able to reach anywhere. Thus, dreams stand to be the driving forces behind success. It keeps you moving ahead, without which you would have led a life of a corpse. Consequently, dreaming isn’t just enough! You ought to put your hard work, determination, dedication, too, in reaching the goal. These three elements are essential to help you achieve all that you have craved for! Hard work has no substitute, and there is no shortcut either! Besides, consistency plays a vital role in deciding your success. Distractions are sure to interrupt your path, but it is essential to understand that you must never get carried away by them. Therefore, only if you have a clear vision, you will be able to reach the destination. Last but not the least, it is important to understand that in order to achieve something, you need to have faith in yourself. Keep that belief upon yourself and only then will you be able to fetch success.
In a right triangle, the measure of one acute angle is twice the sum of the measure of the other acute angle and 30. Find the measure of each acute angle in the triangle
Answer:
Step-by-step explanation:
if we have a right triangle,
one angle=90
180-90=90
let x be one angle, and y another angle
the other is 2x+30
x+2x+30=90
3x=60
x=20
y=70
The measure of each acute angles are 80 degrees and 10 degrees.
The triangle is a right angle triangle. This means one of its angles is 90 degrees.
The other 2 angles sum up to 90 degrees.
An acute angle is less than 90 degrees.
The measure of one acute angle is twice the sum of the measure of the other
acute angle and 30. Therefore,
first acute angle = x
let the other angle = y
y = 2(x + 30)
y = 2x + 60
2x - y = -60
x + y = 90
3x = 30
x = 30 /3
x = 10 degrees
y = 90 - 10
y = 80 degrees
learn more: https://brainly.com/question/19750219?referrer=searchResults
PLEASE HELP ME SOMEONE
Answer: A
Step-by-step explanation: