Answer:
MAYBE
Step-by-step explanation:
3
Find the value of a
in the equation,(3+4√3)(2-a√3)=-18+2√3
Given:
The equation is:
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
To find:
The value of a.
Solution:
We have,
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
On simplification, we get
[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]
[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]
On comparing both sides, we get
[tex]6-12a=-18[/tex]
[tex]-12a=-18-6[/tex]
[tex]a=\dfrac{-24}{-12}[/tex]
[tex]a=2[/tex]
And,
[tex]8-3a=2[/tex]
[tex]-3a=2-8[/tex]
[tex]a=\dfrac{-6}{-3}[/tex]
[tex]a=2[/tex]
Therefore, the value of a is 2.
Geometry i need help with this geometry question
Answer:
RS/XY = ST/YZ
Step-by-step explanation:
They need to follow the same direction and same length in comparision to the rest. From what I can see, that seems to be the one that does that best.
Does anyone know
How to do probability?
Probability is simply how likely something is to happen.
Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
The best example for understanding probability is flipping a coin:
There are two possible outcomes—heads or tails.
What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%.
Tips
The probability of an event can only be between 0 and 1 and can also be written as a percentage.
Do the line segments with the given lengths form a right triangle? Drag each set of lengths into the correct box.
Answer:
1) Yes
2)No
3)Yes
Step-by-step explanation:
Use pythagoreans theorem for the first two side lengths and see if it's equal to the third!
Based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).
To find given lengths form a right triangle or not.
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.
Thus, find out which set of lengths will form a right triangle:
9, 40, 41 will form a right triangle, because:
41² = 40² + 9²
1,681 = 1,681
Also, the rest set of lengths will not form a right triangle.
Thus, based on the Pythagorean Triple, "9, 40, 41", " will form a right triangle(YES), while "11, 60, 62" and "48, 55, 73" will not (NO).
Learn more about Pythagorean Triple here:
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According to the graph, the __________________ is 57-43.
Answer:
Range
Step-by-step explanation:
The range is the max value minus the min value
Help solve this problem pls
Pls answer ASAP!! Triangle ABC is shown.
Cherri filled out a deposit slip today. She deposited two checks for $56.13 and $22.10 and took out $20 in cash.
What was her net deposit?
Answer:
$58.23
Step-by-step explanation:
Let's say y is her net deposit. The equation you would want to use is y = 56.13 + 22.10 - 20.
Select ALL of the expressions that are equivalent to 3(8-4x)
24 - 4x
12x - 24
24 - 12x
-12x + 24
2(12 - 6x)
Step-by-step explanation:
24-12x,and 2(12-6x)
hope it helps
Write an inequality to represent the situation below:
A child can be a maximum of 50 pounds to play on the playground.
ANSWERS ONLY NO LINKS PLEASE!!!!
[tex]c\leq 50\\\\(c=child)\\\\Sorry \ if \ this \ didn't \ help \ you.[/tex]
i need help pls!
this test is about angles, and i am having trouble with it.
Answer:
x = 9
Step-by-step explanation:
congruent angles have the same measure as each other
so;
4x + 14 = 6x - 4
(rearrange)
14 + 4 = 6x - 4x
(solve)
18 = 2x
(simplify)
18 divide 2 = 9
so;
9 = x
Factor 5a2 - 30a + 40.
A) 5(a - 2)(a + 4)
B) (a - 20)(a - 2)
O C) 5(a - 2)(a - 4)
OD) (5a - 5)(a - 8)
which number makes the statement true
12:30 = x:50
A) 30
B) 32
C) 35
D) 41
Answer:
20
None of the answers shown are correct
Step-by-step explanation:
12 : 30 = x : 50
Handle as a proportion
12/30 = x/50
multiply both sides by 50
12/30 * 50 = x
20 = x
En una prueba de duración para determinar la vida útil de un nuevo tipo de lámpara lanzada al mercado, los datos de la muestra se distribuyeron de manera casi normal. Se calculó una vida útil
promedio de 7000 hrs. y una desviación de 520 hrs. Halla el porcentaje de lámparas que tendrán
una vida útil
a) entre la media y 7600hrs.
b)entre 6500 hrs y 7600 hrs.
c) mas de 7600
Answer:
no habla espenol :((
Step-by-step explanation:
Which sets of data show the correct media? Sort the tiles into their proper categories. 9, 3, 6, 1, 4 (median = 4) Correct Median Incorrect Median 4. 9, 11, 13, 16, 20 (median = 12) 1, 6, 9 (median = 6) 2. 7.9, 11, 14, 76 (median = 76) 43, 46, 48, 52 (median = 48) 3, 10, 7 (median = 10)
Answer:
Correct Median:
9, 3, 6, 1, 4 (median = 4)
1, 6, 9 (median = 6)
4. 9, 11, 13, 16, 20 (median = 12)
Incorrect Median:
2. 7.9, 11, 14, 76 (median = 76)
43, 46, 48, 52 (median = 48)
3, 10, 7 (median = 10)
Write an equation which has 8 as its solution.
Answer:
look at the picture i sent......
Alicia, Carlos, Henry, and Zoe each completed a hike. The table shows their distances and times. Match each hiker to their unit rate.
3.20 mph
3.57mph
2.77 mph
3.08 mph
Answer:
3.57 mph I think it's 3.57 but if it's not I'm sorry
This figure shows an oblique triangle-based pyramid.
What is the volume of the figure?
Answer: 88 cm^3
Step-by-step explanation:
= 1/2 • bh
= 1/2 • 6 • 8
= 24
= 1/3 • 24 • 11
= 88 cm^3
The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.
What is volume?The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,
Calculate the volume as shown below,
The Volume of the pyramid = 1 / 3 × Area of the triangle × height
The volume of the pyramid = 1 / 3 × 1 / 2 × 6 × 8 × 11
The volume of the pyramid = 528 / 6
The volume of the pyramid = 88
Thus, the volume of the pyramid is 88 cm³.
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Meng had 346 stickers. On Monday he gave away 38. On Tuesday he gave away 49. on Wednesday he gave away 16.
How many stickers does Meng have left?
Answer:
243 stickers
Step-by-step explanation:
346-38=308
308-49= 259
259-16=243
If 8 people can be seated at a dinner table, how many tables are required to seat 72 people?
Answer:
9
Step-by-step explanation:
Given that ,
8 people can be seated at a dinner table.This is the case of direct proportion where , when quantity increases , the other also increases. Here we can use unitary method.
=> 8 people can sit on 1 table
=> 1 person can sit of 1/8
=> 72 people can sit on 1/8 * 72 = 9 tables
Hence 9 tables is the required answer.Similar Triangles
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 3/4 = 9/12 = 3/4
b. 3/9 = 4/12 = 1/3
c. 3/12 = 4/9 = 1/4
d. 4/3 = 12/9 = 4/3
Please select the best answer from the choices provided
Answer:
B. 3/9 = 4/12 = 1/3
Step-by-step explanation:
I calculated it logically
Q.Jason has 3 red pencils and 6 yellow pencils. Which statement is true?
•The number of red pencils is 1/2 times the number of yellow pencils
•The number of red pencils is 2 times the number of yellow pencils
•The number of yellow pencils is 1/2 times the number of red pencils
•The number of red pencils is 3 more than the number of yellow pencils
Answer:
The number of red pencils is 2 times the number of yellow pencils
Tucker and Jeremy went scuba diving in the ocean together. Tucker dove to a depth of -115 feet, while
Jeremy dove to a depth of -109 feet. Who dove deeper into the ocean?
FREEEEEEE POINTZZZZ
MATH WORDS FOR WORD COUNT: ADD SUBTRACT EQUATION
Answer:
Ayeeeeeeeeeeeeee
Step-by-step explanation:
Thanks a lot! Have a good day!
Answer:
Thanks
Step-by-step explanation:
If a+b = 10 and a-b = 6 then find the value of ab
Answer:
a=8
b=2
Step-by-step explanation:
8+2=10
8-2=6
50 points! Can you please be honest and answer these 3 questions.
Answer:
1. 5/10
2. 0.54
3. √3 and -1/16????
I think
sorry if I wrong
HELPP ASAP DONT SEND A FILE PLS DESCRIBE THE TRANSFORMATION RULE FOR ROTATIONS !!! Only ANSWER IF YOU KNOW I NEED THE ANSWR FOR 1 and 3
Answer:
Step-by-step explanation:
I will not give the answer but the rules are:
90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). ...
180 Degree Rotation. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). ...
270 Degree Rotation.
Hope at least that helps.
how to construct 75°
answer:
in order to construct 75°, you need to use a protractor and a compass
step-by-step explanation:
here is a step-by-step explanation from an online source
step 1: draw a line segment with endpoint O and Astep 2: draw an arc with O as centre cutting the line segment OA at point B with a compassstep 3: keeping the radius same, draw an arc with B as centre cutting the arc at Cstep 4: keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at Dstep 5: with any radius, draw two arcs with C and D as a center. intersect these two arcs at Estep 6: join OE. angle EOA is the angle with measurement of 90 degreesstep 7: now the line OE intersect the arc at the point Fstep 8: taking F and C as a center, make an arc with a radius of more than half of the measurement FC. the arc intersects at point Hstep 9: join the point H and O. angle HOA is the angle obtained of measurement 75 degreesstep 10: angle HOA is the desired angleConstruct 60°. Then 120°. Then construct 90° by bisecting them. Then bisect 60° and 90°. Then it will be 75°.
I WILL GIVE BRAINLIEST IF YOU HELP
Find the area of the polygon below in square units.
Answer:
20 square units
Step-by-step explanation:
this polygon is a trapezoid
the formula to find the area is 1/2(b1+b2)h
If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units
when you plug that into the calculator you get
1/2(6+4)4 = 20 square units
pls answer ill mark brainlist in the screenie
Answer:
the green socks are cheaper than the orange
Step-by-step explanation:
common maths
Answer:
Green socks graph: 3-5, 6-10, 9-15, 12-20, 15-25
Orange socks graph: 5-9, 10-18, 15-27, 20-36, 25-45
Green socks are cheaper
Step-by-step explanation: