Step-by-step explanation:
Given :-
(√3+√2)²√{(3+2)²}And we need to simplify the given numbers . We can use a identity in 1st Question as ,
[tex]\implies (a+b)^2=a^2+b^2+2ab[/tex]
Simplifying first :-
[tex]\implies (\sqrt3+\sqrt2)^2\\\\\implies (\sqrt3)^2+(\sqrt2)^2+2.\sqrt3.\sqrt2 \\\\\implies 3+2+2\sqrt6=\boxed{\red{5+\sqrt6 }}[/tex]
Simplifying second :-
[tex]\implies (3+2)^2\\\\\implies 5^2\\\\\implies \boxed{\red{25}}[/tex]
Jerome, kevin and seth shared a submarine sandwhich. Jerome ate 1/2 of the sandwich , kevin ate 1/3 of the sandwich, and seth ate the rest. What is the ratio of jerome's share to kevin's share to kevin's share to seth's share?
Given:
Jerome ate 1/2 of the sandwich , Kevin ate 1/3 of the sandwich, and Seth ate the rest.
To find:
The ratio of jerome's share to kevin's share to seth's share.
Solution:
Jerome ate 1/2 of the sandwich. So,
Jerome's share = [tex]\dfrac{1}{2}[/tex]
Kevin ate 1/3 of the sandwich. So,
Kevin's share = [tex]\dfrac{1}{3}[/tex]
Seth ate the rest. So,
Seth's share = [tex]1-\dfrac{1}{2}-\dfrac{1}{3}[/tex]
= [tex]\dfrac{6-3-2}{6}[/tex]
= [tex]\dfrac{1}{6}[/tex]
The ratio of jerome's share to kevin's share to seth's share is:
[tex]\dfrac{1}{2}:\dfrac{1}{3}:\dfrac{1}{6}[/tex]
To simplify the ratio multiply the ratio by 6.
[tex]\dfrac{1}{2}\times 6:\dfrac{1}{3}\times 6:\dfrac{1}{6}\times 6[/tex]
[tex]3:2:1[/tex]
Therefore, the ratio of jerome's share to kevin's share to seth's share is 3:2:1.
Mr. Garner purchased a party hall and wants to repaint it as part of the renovations. He needs to calculate the lateral surface area of the party hall so that he will know how much paint to buy. The party hall is in the shape of a rectangular prism with the dimensions shown below. Including the doors, what is the lateral surface area of the party hall in square feet?
Answer:
The lateral surface area of the rectangular prism is 204 square feet
Step-by-step explanation:
The remaining part of the question is attached
Solution
Lateral surface area of a rectangular prism is
Height of the prism * perimeter of the base of the prism.
Substituting the given values, we get-
Lateral surface area of a rectangular prism =
[tex]0.5 *12 * 2(12+5)\\0.5*12*2*17\\0.5*408 \\204[/tex]
The lateral surface area of the rectangular prism is 204 square feet
Pls help me I really need help for this question
Step-by-step explanation:
the correct answer is the third one
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers of x.
(6x + 1)(5x + 8)
Answer:
91
Step-by-step explanation:
you add the numbers that are in the () then you times those two numbers together and you will get the answer
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure
Answer:
1:2
Step-by-step explanation:
please help me. i’ll give you brainliest
Answer:
x= 5
Step-by-step explanation:
pythagorean theorem 3^2+4^2=5^2
And it is a 3-4-5 triangle
Ethan rolls the number cube and then spins the arrow on the
spinner. A list of all the possible outcomes is shown.
3
1
2
2
{(1,1).(1,2).(1.3). (2,1).(2, 2), (2,3).(3,1),(3,2).(3,3).
(4,1).(4.2).(4.3).(5,1).(5,2).(5,3).(6, 1).(6,2).(6,3)
3
What is the probability that the sum of the two numbers is odd, given that the product is 6?
A 1/3
B. 1/2
C. 2/3
D. 1
Answer:
I myself would say the answer is C.Step-by-step explanation:
Right triangle XYZ is drawn with a 23° angle. For right triangles with an angle of 23° the ratio of the leg adjacent the 23° angle compared to the hypotenuse is 0.92 If the leg adjacent to the 23° angle has a length of 46 units, what is the length of the hypotenuse?
Answer:
50
Step-by-step explanation:
In a right angled triangle :
Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio
For an angle of 23° and and adjacent leg of 46
Cos 23 = adjacent / hypotenus
Adjacent / hypotenus = 0.92
46 / hypotenus = 0.92
Hypotenus = 46 / 0.92
Hypotenus = 50
What are the labels pleaseeeee
Answer:
-1 and 6 are x intercepts, -4 is y-intercept, -8 is vertex and -2 is axis of symmetry
Answer:
anddddd i just realized i answered the question wrong, the guy above me is correct. good luck.
In the equation y = 7x + 20, what is the slope or rate of change? 27 20 H 17 J X
Answer:
7 or 07
Step-by-step explanation:
math problem, help me please!!
Answer:
-3
Step-by-step explanation:
answer must be negative since graph opens downward
value of 'a' must must be less than -1
please help this answer is very important
Answer:
option 4
2
Step-by-step explanation:
1 Litre = 1000 mililitre
so,
2 litres = 2000 mililitres
Which set of values is a function?
Answer:
(6,-5)
(7, -3)
(8, -1)
(9, 1)
Step-by-step explanation:
I'm guessing this is what your answer is by the specification of the question. If it's not, I'm sorry.
Work out 3 times 10^5 divide by 4 times 10^3
Give your answer as an ordinary number
Answer:
75
Step-by-step explanation:
Answer:
75,000,000
Step-by-step explanation:
first what we do is we do 10^5 which could also be seen as
10*10*10*10*10=100,000
now we times that by 3
100,000*3=300,000
and now divide by 4
300,000÷4=75,000
now times 75,000 by 10^3 (10*10*10=1,000)
75,000*1,000=
75,000,000
75,000,000 is your answer
Find the missing side length.
Please I need help, also need explanation.
Thank you!!
Answer:
x=2
y=√2
Step-by-step explanation:
You can tell from the angles that this is a 45, 45, 90 triangle. That would mean that the side given is x. Then the side "x" is x√2, and "y" is the same as x. So, that would mean the sides would be √2, √2, and 2.
A stereo uses 150 watts of electricity. How much CO2 is produced by using the stereo for
8 hours?
1.2 lb
0.2055 lb
1,644 lb
1.644 lb
Answer:
mCO₂ = 1.188 lb or simply 1.2 lb
Step-by-step explanation:
We need to use the following expression:
E = P * t
Where:
E: Energy in Kwh
P: Power in Watts
t: time in hours.
Applying this, with the given data we have:
E = 150 * 8
E = 1200 watts . h
Converting this value in kW we have:
E = 1200 watts * 1 kW/1000 watts = 1.2 kWh
In general terms, we have 0.99 pounds of CO₂ emissions per kWh, so with the obtained value we have:
mCO₂ = 0.99 * 1.2
mCO₂ = 1.188 lb or simply 1.2 lbHope this helps
Analia has $550 in her checking account. She wants
to spend part of this money on a VR-Headset. She
wants to have at least $225 left in her checking
account after buying a VR-Headset. The inequality
shown can be used to find t, the amount of money
in dollars that Analia can spend on a VR-Headset.
Solve the inequality.
t + 225 ≤ 550
Answer:
t ≤ 325
Step-by-step explanation:
the inequality: t+225 ≤ 550
t ≤ 550-225
Subtract 225 from 550
t ≤ 325 :)
Need help on 10 what do I do with the fraction in parentheses
Answer:
You should multiply it by the number beside it, four.
Step-by-step explanation:
You may or may not know this depending on how new to this you are but you always do the parenthesis first, it's the first rule of pemdas.
1/4 x 4 would result in 1.
Which expressions are equivalent to the one below? Check all that apply.
log, 1 • log, 81
A. O
B. 9.9
O C. 1
O D. 9.log, 9
SUBMIT
Answer:
I think is C I hope is right
The correct expressions which are equivalent to the one below is,
⇒ 0
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ log 1 × log 81
Now, We know that;
⇒ log 1 = 0
Hence, The correct expressions which are equivalent to the one below is,
⇒ log 1 × log 81
⇒ 0 × log 81
⇒ 0
Thus, The correct expressions which are equivalent to the one below is,
⇒ 0
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Kallan’s goal is to run 39 miles in a week. He runs 7 miles on Monday. What percent of his goal did he run on Monday? Round your answer to the nearest percent.
Another Quick Question, True or false: The Intersection of two rays creates two pairs of vertical angles and four pairs of supplementary angles.
True or false, If you explain Ill give brainly
Answer:
True
Step-by-step explanation:
What is the surface area of the triangular prism?
a
152 square feet
b
252 square feet
c
172 square feet
d
264 square feet
I would try and help but I think it's missing the picture
Yesterday, Claudia ran 1/9 of a mile. today she ran 3/4 of a mile. how far did she ran all together?
Answer:
31/36
Step-by-step explanation:
1/9 + 3/4 = convert the denominators with finding a common multiple of 9 first = 9 x 4 = 36
9 x 4 = 36 and 4 x 9 = 36
?/36
Then convert the numerators with the numbers you bolded
1 x 4 = 4
and 3 x 9 = 27
= 4/36 + 27/36 = 31/36
Need help ASAP! What is this
180 - 64= 116
116 divided by 4 = 29
x=29
Have a good day:>
Answer:
x = 29
Step-by-step explanation:
Supplementary angles add up to 180 degrees:
4x+64 = 180
Subtract 64 from both sides:
4x+64-64 = 180-64
4x = 116
Divide both sides by 4:
4x/4 = 116/4
x = 29
Find the perimeter of the composite figure 7m 5m 4m 3m
Answer:
19 just add them toghether 7+5+4+3=19 (m)
Using the work shown on the left, What is the cubed root of 4/ the square root of 2 in simplest radical form
Answer:
⁶√2
Step-by-step explanation:
∛4 = (2^2)^1/3 = 2^2/3
So ∛4 / √2
= 2^2/3 / 2^1/2
= 2^1/6
= ⁶√2
Answer:
Option C- Picture Below
Step-by-step explanation:
Just to as the first one's confirmation.
y-3=5(x-2) what is the slope
Answer:
In y=mx+b form, m is the slope. In this case, m=5, therefore the slope is 5.
Millie has an interview for a job. She is driving to the interview. There are 3 sets of traffic lights on her route. There is a fifty/fifty chance of the lights being red or green.
What are the chances of Millie getting 3 consecutive green lights?
Answer: 0.125
Step-by-step explanation:
Since there is a fifty/fifty chance of the lights being red or green, therefore, the chances of Millie getting 3 consecutive green lights will be:
= (50%)³
= 0.5³
= 0.5 × 0.5 × 0.5
= 0.125
Therefore, the probability is 0.125
One third of the tomatoes in a garden are ripe. If 6 tomatoes are ripe, which equation can be used to find the total number of tomatoes in the garden?
Answer:
The answer is
t/3 = 6
(1,5), (9,85), (2,10),(6,38),(4,3),(12,107),(7,64), (12,86) ,(7,47), (9,64), (4,27) The line is in the form y=mx+b.y=mx+b. What is the value of m?m? Enter your answer as a number with two decimal places, like this: 3.14
Answer:
y=10x-5
Step-by-step explanation:
should be the right answer since I used a calculator :p