[tex]3^{-4}=\dfrac{1}{3^4} =\dfrac{1}{81}[/tex]
Please help! with explanation please
Answer:
a = 12
b = 6
Step-by-step explanation:
You have a 30°-60°-90° triangle which is a special right triangle. We memorize the ratios of the sides and can find the sides given just one side, by using the relationships between the sides, so we don't have to use trig ratios.
Generally, the LONGEST side (hypotenuse) is twice the shortest side. Or, the SHORTEST side is half the longest side (hypotenuse). The LONGER LEG is the short leg × sqrt(3).
Or the SHORT LEG is the
longer leg/sqroot(3)
You are given the long leg here. You have:
Long leg = 6sqroot(3)
So the short leg must be 6.
bc, longer leg IS Short leg×sqroot(3)
short leg =6
Then the LONGEST side (hypotenuse) has to be twice that.
LONGEST side = 12
Where it says "Prove side c" maybe that is like doing a check.
6^2 + (6sqrt3)^2 = 12^2
36 + 108 = 144
144=144
CHECK!
Show work please :)
2. 1/9 x 3/4
4. 5/7 divided by 2/3
5. 7.89 - 3.9
As per questions,
2.[tex] \frac{1}{9} \times \frac{3}{4} [/tex]
As 3 and 9 can be cancelled, we get,
[tex] \frac{1}{3} \times \frac{1}{4} [/tex]
Now multiplying denominators and numerators,
[tex] \frac{1}{12} [/tex]
Hence, the required answer is [tex] \frac{1}{12} [/tex]
4.[tex] \frac{ \frac{5}{7} }{ \frac{2}{3} } [/tex]
When the base denominator (2/3) is reciprocaled,
[tex] \frac{5}{7} \times \frac{3}{2} [/tex]
As we can't directly divide, so we can multiply them,
[tex] \frac{5 \times 3}{7 \times 2} [/tex]
[tex]→ \frac{15}{14} [/tex]
Hence, the required answer is [tex] \frac{15}{14} [/tex]
5)[tex]7.89 - 3.9[/tex]
Direct subtraction, (Check solution in attached image)
[tex]→3.99[/tex]
wait hold on guys i am so freaking sorry im so bad at math um does anyone by any chance know what 4+8+8y–7 is? please im so sorry im bad at this
Answer:
8y + 5
Step-by-step explanation:
4 + 8 + 8y - 7
12 + 8y - 7
5 + 8y
8y + 5
Hey i rlly want to be done with thiss lol don't delete;-;
Answer:
hello the correct answer is y=30x+20
Step-by-step explanation:
The isosceles triangle has a perimeter of 7. 5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2. 1 m? 2 x minus 2. 1 equals 7. 5 4. 2 plus y equals 7. 5 y minus 4. 2 equals 7. 5 2. 1 plus 2 x equals 7. 5.
Using the perimeter formula of the Isosceles triangle the equation 2x + 2.1 = 7.5 is derived. The correct option is D.
What is the isosceles triangle?Triangle is a polygon that has three sides. The sum of the angle of the triangle is 180 degrees. The two sides of the triangle are equal.
Given
The isosceles triangle has a perimeter of 7.5 m.
We know the perimeter of the Isosceles triangle.
Perimeter = Sum of all sides of the triangle
Let the sides be x and y and
And let y be the shortest side.
For y = 2.1 m, the equation will be
[tex]\rm Perimeter = x + x +y\\[/tex]
On simplifying the equation, we get
2x + 2.1 = 7.5
The required equation is 2x + 2.1 = 7.5.
Thus, option D is correct.
More about the Isosceles triangle link is given below.
https://brainly.com/question/7915845
Find the surface area of the sphere. Use 3.14 for π. Round your answer to the nearest tenth.
r=8
A carpenter cut a board that was 10 feet long into two pieces. The longer piece is 2 feet longer than three times the length of the shorter piece. What is the length of each piece?
Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
if they join together:
3x + 2 + x = 104x + 2 = 104x = 10 -24x = 8x = 2Longer piece:
3x + 23(2)+28 feetAnswer:
x+3x+2=10
4x=10-2
4x=8
x=8/4
x=2 ft. for the shorter piece./
3*2+2=6+2=8 ft. for the longer piece.
Proof:
8+2=10
10=10
Step-by-step explanation: hope it helps u
keep smile
Mrs. Smith is ordering binders for her students. Each book costs $1.75 and there is a $5.50 flat fee for shipping. Which expression represents the total cost to ship b books?
A. (1.75 + 5.50)
B. 5.50 + 1.75
C. 1.75
D. 1.75 + 5.50
Answer:
1.75b +5.50
Step-by-step explanation:
1.75b= 1.75 a book
+ 5.50 = flat rate
What is the decimal that represents 37 1/2%
Answer:
37.5%
Step-by-step explanation:
A regular hexagon is divided into four triangles. Which of the following is correct?
a) ΔABF≅ ΔEDF
b) ΔFDC≅ ΔFCB
c) ΔABF≅ ΔFBC
d) ΔFDC≅ ΔBCF
Pleasee answer fastt
Answer:
b)
...............
Please help me fill in this chart! I can't figure out the formulas!!! 15 points to whoever solves this!!!
Answer:
72, 460, 14, 2468, 245, 17, 3485, 325, 20, 4368, 234.7, 23, 5631, 23 2/3
the scatter plot shows how much a puppy weighs within a certain time period.
what is the correlation between days and weight?
About how much did the puppy gain during this time period? HELP PLEASE!!!!
Answer:
There is a positive correlation and the puppy gained about 1.5 kg
Step-by-step explanation:
→ Find initial weight
4.5
→ Find final weight
6.0
→ Subtract
1.5
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
In a classroom,
1
6
of the students are wearing blue shirts , and
2
3
are wearing white shirts. There are 18 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts?
Answer:
3 students in blue and 12 in white
Step-by-step explanation:
set 1/6 and 2/3 of it and you need to find that of 18
so you take 2/3*18 and get 12 students
and 1/6*18 and get 3 students
volume of cylinder is 240m find volume of the cone have same base and height
Answer:
80 cubic m
Step-by-step explanation:
If they have the same base and height, a cone always has 1/3 of the volume of a cylinder.
For each inequality, show it on the number line and write all one-digit integers that satisfy it. k>0
The one-digit integers that satisfy the inequality k>0 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.
What is a number line?A number is a line that is made up of positive and negative numbers with the distance between the preceding and succeeding unit to be 1.
The negative values on the number line are -1, -2, -3...-9 while the value greater than zero are 1, 2, 3, 4,...9Hence the one-digit integers that satisfy the inequality k>0 are 1, 2, 3, 4, 5, 6, 7, 8, and 9.Learn more on number line here: https://brainly.com/question/26480824
Simplify Complex numbers 30 points
Answer:
o 1.
[tex] \frac{8 - 4i}{5i} \\ \\ \\ \frac{8 - 4i}{5i} \times \frac{ - 5i}{ - 5i} \\ \\ \frac{ - 40i + 20 {i}^{2} }{ - 25 {i}^{2} } = \frac{ - 40i - 20}{25} \\ \\ \frac{ - 20 - 40i}{25} = \frac{ - 20}{25} - \frac{40}{25} i \\ \\ = - \frac{4}{5} - \frac{8}{5} i \\ \\ = - 0.8 - 1.6i[/tex]
__o__o___
o 2.
[tex] \frac{2i}{ - 3 + 4i} \\ \\ \frac{2i}{ - 3 + 4i} \times \frac{ - 3 - 4i}{ - 3 - 4i} \\ \\ \frac{ - 6i - 8 {i}^{2} }{9 - 16 {i}^{2} } = \frac{ - 6i + 8}{9 + 16} \\ \\ \frac{8 - 6i}{25} = \frac{8}{25} - \frac{6}{25} i \\ \\ = 0.32 - 0.24i[/tex]
__o__o__
o 3.
[tex] \frac{2 - 3i}{1 - 2i} \\ \\ \frac{2 - 3i}{1 - 2i} \times \frac{1 + 2i}{1 + 2i} \\ \\ \frac{2 + i - 6 {i}^{2} }{1 - 4 {i}^{2} } = \frac{2 + i + 6}{1 + 4} \\ \\ \frac{8 + i}{5} = \frac{8}{5} + \frac{1}{5} i \\ \\ = 1.6 + 0.2i[/tex]
__o__o__
o 4.
[tex] \frac{3 + 2i}{4 + i} \\ \\ \frac{3 + 2i}{4 + i} \times \frac{4 - i}{4 - i} \\ \\ \frac{12 + 5i - 2 {i}^{2} }{16 - {i}^{2} } = \frac{12 + 5i + 2}{16 + 1} \\ \\ \frac{14 + 5i}{17} = \frac{14}{17} + \frac{5}{17} i[/tex]
The radius of a circle measures 13 yd. What is the circumference of the circle
Answer:
=81.64yd
Step-by-step explanation:
c=3.14d
c=(3.14)*(13+13)
=81.64yd
Please help I will give brainliest
Answer:
B) Infinitely many solutions.
Step-by-step explanation:
-x + 4y = 24
4y = x + 24
y = 1/4x + 6
It is the same equation twice.
pls help me do it its for my homework
Question:
Add 9 to y
Answer :
9 + y
A number cannot be added to variable so final product will be above expression formed!
Answer:
9+y
Step-by-step explanation:
+++++++++in the graph
an alphabet can't be added to a number
Question
Is it possible to construct a triangle with side lengths of 3, 6, and 9 units? If not, explain why not
Answer:
No
Step-by-step explanation:
No.
The triangle inequality theorem says that ANY two sides of a triangle MUST be greater than the third side.
In this case 3+6 is equivalent to 9 (it wouldn't be a triangle; just be a straight line), NOT greater, therefore is is not possible to construct a triangle with the given side lengths.
5 × 2^4 ÷ (7 + 3)
Show all steps! Thanks!
Use the Order Of Operations!
Answer:
Step-by-step explanation:
First exponent: 2^4= 16
5 x 16/(7+3)
Next parenthesis: (7+3)= 10
5 x 16/10
Then multiply: 5 x 16= 80
80/10
Finally, Divide: 80/10= 8
So your answer is 8.
Hope this helps! :D
This is the same dilation that you used in Question 3. What scale factor was used to create the dilated Triangle M'S'V'? In your answer, give the scale factor that was used and explain how you calculated it.
M'S'V': M' (-2, 2), S' (4, 2), V' (2, -2)
MSV: M (-3, 3), S (6, 3), V (3, -3)
The scale factor was used to create the dilated Triangle M'S'V' is 2/3
How to determine the scale factor of coordinatesGiven the following coordinate point M (-3, 3), S (6, 3), V (3, -3) which was dilated to get the coordinate point M' (-2, 2), S' (4, 2), V' (2, -2)
You can see that the scale factor is the ratio of the x coordinate of the image to that of the preimage as shown:
Determine the scale factorScale factor M'/M = -2/-3 =4/6 = 2/3
Hence the scale factor was used to create the dilated Triangle M'S'V' is 2/3
Learn more on scale factor here: https://brainly.com/question/25722260
Look at the three trees and the paths between them.Vani walks from Tree 1 to Tree 2 and then to Tree 3 - covering 335 metres in all. Raj walks from Tree 2 to Tree 3, then to Tree 1, and finally returns to Tree 2 - covering 540 metres in all.How far is Tree 1 from Tree 3?
Options
205 metres
875 metres
(we can't say)
215 metres
The distance from tree 1 to tree 3 is about 205 meters.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let a represent the distance from tree 1 to 2, b from 2 to 3 and c from tree 3 to 1.
Hence:
a + b = 335
Also:
b + c + a = 540
a + b + c = 540
335 + c = 540
c = 205 meters
The distance from tree 1 to tree 3 is about 205 meters.
Find out more on Equation at: https://brainly.com/question/2972832
What is area of shaded
Answer:225
Step-by-step explanation:
we start by finding the area of the unshaded triangles and subtracting them from the total area of the box.
The total length of the top is 20 and the total length of the bottom side is 18
20-18=2 so the small unshaded part on the bottom side is 2. with this we can find the left triangle. triangle area is base times height over 2 so the area of the unshaded triangle on the left is 15*2/2=15.
We know the small unshaded bit on the right side is 6 as it is shown on the diagram. again, we can use base times height over 2 to get the area of the top unshaded triangle. 6*20/2= 60.
We can do base times height to find the total area of the rectangle
15*20=300
300-15-60=225
Help plsssssssssssssss
Answer:
55: 62.44
26 :29.52
62.44 - 29.52 = 32.92
Step-by-step explanation:
Have a good day!
Answer:
£81
Step-by-step explanation:
£55+£26=£81
Please help me I need help
Answer:
huh
Step-by-step explanation:
Cheyenne ran a 6.86-kilometer race in 49 minutes. What was her speed in kilometers per hour?
Answer:
i didnt mean to press answer
Step-by-step explanation:
It took Trinh 4 hours to ride her bicycle 48 miles. Assuming she rode at a constant speed, how many miles did she ride per hour?
Answer:
12 mph
Step-by-step explanation:
per means divided by so
48 miles / 4 hour
12 m/h
Number 22. Please help!!!
Answer:
-3 ≤ x ≤ 13
Step-by-step explanation:
Brainliest would be appreciated :)
!!!20 POINTS!!!
Q1: A factory produces candy bars, with mean weight 5 grams. After the machines were updated with new tech, a worker worries the candy bars are now lighter on average. To test this theory, the worker collects a random sample of candy bars and measures their mean weight. Identify the null and alternative hypotheses in this situation.
The null hypothesis in this situation is the mean weight of the candy bars is not lighter.
The alternative hypothesis in this situation is the mean weight of the candy bars is lighter.
What is a hypothesis?
A hypothesis is an idea that gives a temporary explanation to a phenomena which would be proved or disapproved by carrying out an experiment .
The null hypothesis states that there is no relationship between the population parameters. It is known as the true hypothesis. The alternative hypothesis states that there is a relationship between the population parameters.
To learn more about null hypothesis, please check: https://brainly.com/question/18306091