Answer:
[tex]5\sqrt{2} +\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} ) < --Given[/tex]
[tex]\sqrt{5} \sqrt{10} +\sqrt{5} \sqrt{2} < -- Distribute[/tex]
An equation is in its simpliest form when you eliminate as many square roots as possible. Here are some rules:
1.) You cannot combine numbers through addition or subtraction if they are under square roots. However, you can combine numbers through multiplication or division if they are under square roots.
2.) You cannot take the square root of a number if the answer is not a whole number (unless the problem says you can). However, you can solve the square root if the number can be simplfied into a "rootable?" number. In other words, the number under a square root can be divided into a number that can have its square root taken.
The first part...
[tex]\sqrt{5} \sqrt{10} = \sqrt{5} * \sqrt{10} < --Multiply[/tex]
[tex]\sqrt{5} * \sqrt{10} =\sqrt{50}[/tex]
[tex]\sqrt{50} = \sqrt{25} *\sqrt{2} < --Separate[/tex]
[tex]\sqrt{25} = 5 < --Solve[/tex]
[tex]\sqrt{50} = 5 *\sqrt{2} < -- Substitute[/tex]
[tex]5*\sqrt{2} =5\sqrt{2} < --Rewrite[/tex]
The second part...
[tex]\sqrt{5} \sqrt{2} =\sqrt{5} * \sqrt{2} < -- Multiply[/tex]
[tex]\sqrt{5} *\sqrt{2} = \sqrt{10}[/tex]
Combine both parts...
[tex]5\sqrt{2} +\sqrt{10}[/tex]
Jessica has $32 to buy movie tickets that cost $5.25 each for her and her friends. the inequality 32≥5.25t represents the number of tickets t she could buy. what is the greatest number of tickets jessica can buy?
Suppose a city with population 300,000 has been growing at a rate of 8% per year. If this rate continues, find the population of this city in 10 years.
Do number 5 pleaseee
Answer:
A
Step-by-step explanation:
16 × 2 = 32
20 × 2 = 40
hshsjbdjidjeje
What additional information could be used to prove that the triangles are congruent using AAS?
Select two options
Answer:
Step-by-step explanation:
We have two congruent angles, so we need a pair of congruent sides. This is satisfied by options 2 and 3.
DOES ANYONE KNOW THIS ?? Its not 20 or 16 and the layers that can be put into the box is 4 number 2 thank u so much i will make u brainliest if its right
Answer:
4 layers
128 cm²
0.1 m
Step-by-step explanation:
Height of chocolate = 0.5 cmHeight of open box = 2 cmLayers of chocolate
Height of box / Height of chocolate2 / 0.52 x 24 layersVolume of box
8 x 8 x 264 x 2128 cm³Length of river on map
x : 10,000 = 1 : 100,000x = 0.1 metersAnswer:
128
Step-by-step explanation:
Volume of an open box= 2(b x h) + 2(l x b) + 2(l x h)
now here the length and breadth are same, so both are 8, and there is no need to put 2 before (l x b) as it is an open box
(8 x 8) + 2(8 x 2) + (8 x 2)
what are the exact volumes of x and y? (attached image)
Answer:
X is the value of y so work it out mothe
Answer:
Since already answered i need points so yea
Can the sides of a triangle have lengths 7, 15, and 18?
Answer:
Yes it can!
Step-by-step explanation:
The 2 shortest sides how to be bigger than the longest sides when combined
7 + 15 = 22 and 22 is bigger than 18. So yes you can make a triangle with those side lengths.
Answer:
Step-by-step explanation:
If this is a right angle triangle then no, it is impossible since this set of lengths is NOT a pythagorean triple.
If this is a non-right angle triangle then yes.
7. Mattie ran across a circular part. The
circumference of the park is 92.31 feet.
How far did Mattie run?
Answer:
29.39
Step-by-step explanation:
So, the formula for circumference is 2(3.14)r.
If the question is looking for the diameter,
You don't have to include the r, you can just do d(3.14)=92.31
You can divide 92.31 by 3.14 and you get 29.39
and right triangle sin (40 - x)° equals cos(3x)° degrees what is the value of x.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sin(40 - x) = \cos(3x) [/tex]
[tex]\qquad \sf \dashrightarrow \: \cos\{90 - (40 - x ) \} = \cos(3x) [/tex]
[tex]\qquad \sf \dashrightarrow \:90 - (40 - x) = 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:90 - 40 + x = 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:3x - x = 50[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 50[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 25 \degree[/tex]
Please answer this with an explanation
Answer:
35 feet
Step-by-step explanation:
when the flare is fired , time t = 0
substitute t = 0 into the equation
f(0) = - 10(0)² + 60(0) + 35 = 0 + 0 + 35 = 35
Answer:
the correct answer would be 35 feet
Step-by-step explanation:
hope this helps
What’s the distance between the points (-3,10)and(6,-2)
Answer:
i think its 20
Step-by-step explanation:
what is the answer to two plus two divided by 3 times 6
Answer:
8
Step-by-step explanation:
2 + 2 = 4
4 / 3 = 1.3
1.3 x 6 = 8
Fill in the missing values in the table. Scale Distance on map Distance in miles 1/4 inch = 1 mile) 2.5 inches 10 miles 1/2 inch = 1 mile 4.5 inches miles 1 inch = 1 mile 3.0 inches 3 miles 1 inch = 5 miles inches 30 miles 1 inch = 10 miles 3.0 inches miles 1 inch = 15 miles 2.0 inches miles
The missing values are 9 miles, 6 inches, 30 miles, and 30 miles, respectively.
Rule of Three
It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
The Line 02 of the Table1/2 in= 1 mile, from the rule of three, you can find the distance in miles.
1/2 inch ------------- 1 mile
4.5 inches --------- x miles
Applying cross multiplication
1/2x=4.5
x=4.5 *2
x=9 miles
The Line 04 of the Table
1 in= 5 miles, from the rule of three, you can find the distance in miles.
1 inch ------------- 5 miles
x inches --------- 30 miles
Applying cross multiplication
5x=30
x=6 inches
The Line 05 of the Table
1 in= 10 miles, from the rule of three, you can find the distance in miles.
1 inch ------------- 10 miles
3 inches --------- x miles
Applying cross multiplication
x=3*10 miles
x=30 miles
The Line 06 of the Table1 in= 15 miles, from the rule of three, you can find the distance in miles.
1 inch ------------- 15miles
2 inches --------- x miles
Applying cross multiplication
x=2*15 miles
x=30 miles
Read more about the rule of three here:
brainly.com/question/24514897
Answer:
9 miles, 6 inches, 30 miles, and 30 miles
Step-by-step explanation:
What he said. give him crown.
What is the solution to this system of equations?
Answer:
Replace the y, z, and x values with real numbers .
0 - 3 = -3
5 + 4 = 9
3 + 4 = 7
PLSSS HELP ME
(5x5)/[10x22]-4\52
Answer: 21/572
[tex]\frac{5.5}{10 . 22} - \frac{4}{52}[/tex]
The dots stand for multiplication
Find the value of x
Find the measures of the following angles
Answer:
Step-by-step explanation:
Mike invests $4000 in an account that earns 3% annual interest. How much money will there be in the account after 3 years if the interest is compounded semi-annually?
Answer:
$4786.72
Step-by-step explanation:
4000(1+0.03/6)^12(3)
Use this formula to find the compounded interest after each 6 months, which would have an interest rate used to increase the amount of money.
Pleas help. 5 Divided by 1/8
[tex]\dfrac{5}{\tfrac 18} = 5 \times \left(\dfrac 18 \right)^{-1}= 5\times 8 = 40[/tex]
Answer:
40
Step-by-step explanation:
[tex] \frac{5}{1} \div \frac{1}{8} [/tex]
[tex] \frac{5}{1} \times \frac{8}{1} [/tex]
[tex]40[/tex]
How to find a surface are?
The surface area is found by finding the area of all shapes creating the surface, and then adding them together.
Example:
If we have a 5 x 5 x 5 cube, we will find all six sides. Since 5 x 5 is 25, and 25 x 6 = 150, the surface area of this example cube will be 150 units².
Why the x 6? Since it is a cube all the sides have the same area, and a cube has 6 sides.
help i need the awnser
Answer:
5 cm. Assuming the shape only has right angles.
Step-by-step explanation:
16-11=missing side
12 Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the functions with their periods. y=-3tan3.r y=6sin3r 2.1 y=-4cot y=2009 y=-žsec 37 3 27 3 kas 3 10T Reset Next
Answer:
Just use a calculator
Step-by-step explanation:
It's easier :)
Answer number 11 please. Thank you.
Answer:
A po 232.5n mm²
Step-by-step explanation:
#carryonlearning
(0,3) and (5,13) what is the answer
Answer:
if you're asking for the slope the answer is 2
Step-by-step explanation:
i hope your asking for slope
PLEASE HELP !!!!! I HAVE TO TURN THIS IN BY TOMORROW
Answer:
Step-by-step explanation:
Given the equation: y = 8 * 2ˣ, substitute the x-values in the table for x in your equation, to find the y-values.
For x = -1
[tex]y = 8 * 2^x\\y=8*2^{-3}\\y=8*\frac{1}{2^3} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{8}\\y=8*0.125\\y=1\\\\(-1,1)[/tex]
For -2:
[tex]y = 8 * 2^x\\y=8*2^{-2}\\y=8*\frac{1}{2^2} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{4}\\y=8*0.25\\y=2\\\\(-2,2)[/tex]
For -1:
[tex]y = 8 * 2^x\\y=8*2^{-1}\\y=8*\frac{1}{2^1} < ==negative\ exponent\ property: x^{-n}=\frac{1}{x^n}\\y=8*\frac{1}{2}\\y=8*0.5\\y=4\\\\(-1,4)[/tex]
For 0:
[tex]y = 8 * 2^x\\y=8*2^0\\y=8*\frac{1}{2^2} < ==zero\ exponent\ property: x^0=1\\y=8*1\\y=8\\\\(0,8)[/tex]
For 1:
[tex]y = 8 * 2^x\\y=8*2^1\\y=8*2\\y=16\\\\(1,16)[/tex]
For 2:
[tex]y = 8 * 2^x\\y=8*2^2\\y=8*4\\y=32\\\\(2,32)[/tex]
For 3:
[tex]y = 8 * 2^x\\y=8*2^3\\y=8*8\\y=64\\\\(3,64)[/tex]
Hope this helps!
Could someone explain each one of these questions (apart from a) step by step? Thanks!
part c:
100-3t = 64
100-64 = 3t
36 = 3t
t = 12
part d:
1/2 (x-5) = 9
x-5 = 9 / (1/2)
x-5 = 18
x = 23
Buses arrive at a stop every 18 min. Each bus waits 4 min before departing. What is the probability that a person arriving at the bus stop at a random time has to wait more than 8 min for a bus to leave?
Answer:
Socratic app
Step-by-step explanation:
it will help you
A trigonometry student stands 25 meters from a building and measures the angle of elevation to the top of the building as 30â°. how accurate does her angle measurement have to be if she wants her propagated percentage error in estimating the height of the building to be no more than 5%?
Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:
[tex]\tan{30^\circ} = \frac{h}{25}[/tex]
[tex]h = 25\tan{30^\circ}[/tex]
h = 14.43.
For an error of 5%, the bounds of h are as follows:
[tex]h_{min} = 0.95 \times 14.43 = 13.71[/tex]
[tex]h_{max} = 1.05 \times 14.43 = 15.15[/tex]
Hence, the angles will be given by:
[tex]\tan^{\alpha} = \frac{13.71}{25}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}[/tex]
[tex]\alpha = 28.8[/tex]
[tex]\tan^{\alpha} = \frac{15.15}{25}[/tex]
[tex]\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}[/tex]
[tex]\alpha = 31.2[/tex]
Hence the angle measurement has to be within 1.2º of 30º.
More can be learned about the slope concept at https://brainly.com/question/18090623
What is the sum of the geometric sequence 2, 8, 32, if there are 8 terms?
Answer:
43690
Step-by-step explanation:
hope u understand it
Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6),A(−1,−6),A, left parenthesis, minus, 1, comma, minus, 6, right parenthesis, comma B(-1,7)B(−1,7)B, left parenthesis, minus, 1, comma, 7, right parenthesis, C(1, 7)C(1,7)C, left parenthesis, 1, comma, 7, right parenthesis, and D(1, -6)D(1,−6)D, left parenthesis, 1, comma, minus, 6, right parenthesis.
Given these coordinates, what is the length of side ABABA, B of this rectangle?
Answer:
13 units
Step-by-step explanation:
Points A(-1, -6) and B(-1, 7) both lie on the vertical line x=-1. That means the distance between them is the difference of their y-coordinates:
__
By -Ay = 7 -(-6) = 13
Segment AB is 13 units long.
HELP HELPP! GIVING LOTS OF POINTS!!!! nonsense-report
We can organize the data by making a board (i can't draw one so i'll do it in another way)
First, we have to see how many different values are there :
19 ; 21 ; 22; 23 ; 24 ; 25 ; 26 ; 27 ; 28 ; 29 ; 30 ; 31 ; 32 ; 34 ; 35 ; 36 ; 37 ; 39 ; 40 ; 43 ; 44 ;45 ; 46
Frequency :
19 : 1 time
21 : 3 times
22 : 1 time
23 : 1 time
24 : 5 times
25 : 3 times
26 : 2 times
27 : 4 times
28 : 3 times
29 : 2 times
30 : 2 times
31 : 3 times
32 : 2 times
34 : 2 times
35 : 4 times
36 : 2 times
37 : 1 time
39 : 1 time
40 : 1 time
43 : 2 times
44 : 1 time
45 : 1 time
46 : 1 time
47 : 1 time
(that was so long, now you can construct the board yourself right xd)