Answers
Answer:
D
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
f = 24
----------------------------------------------------------------
Using the cosine ratio and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
e = 12[tex]\sqrt{3}[/tex]
Answer:
F=24 and e=12[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Related Questions
Sue and oliver share £160 in the ratio 3:5
Work out how much more oliver get conpared to cue.
Answers
Answer:
£40
Step-by-step explanation:
3+5=8
160÷8= 20
20× 5=100
20×3=60
100-60=40
Answer:
£40
Step-by-step explanation:
160 shared between 3:5
3 + 5 = 8 (parts)
160 ÷ 8 = 20
20 = 1 part
Sue has 3 parts; (20 x 3) = £60
Oliver has 5 parts; (20 x 5) = £100
Work out how much more oliver get conpared to sue
oliver has £100, sue has £60
£100 - £60 = £40
oliver has £40 compared to sue
Pls help kendjehdjjekekebwvujfjej
Answers
Answer:
B. 4n²+11n-6
Step-by-step explanation:
________________
A city has a population of 290,000 people. Suppose that each year the population grows by 3%. What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.
Answers
Answer:
403100 is the answer.Hope this helps
Which equation best describes the situation below?
5 less than a number is 15.
Answers
Let the number is X
So the equation will be X-5 = 15
find the surface area of a square based pyramid with a side length of 5cm and a slant height of 5cm
Answers
Answer:
Step-by-step explanation:
The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base
The slant height is 5 cm
The base perimeter is 4 * 5 cm = 20 cm
The area of the base is 5 cm * 5 cm = 25 cm**2
Plugging into the formula the area =
1/2 * 5 cm * 20 cm + 25 cm**2 =
5 cm * 10 cm + 25 cm**2 =
50 cm**2 + 25 cm**2 = 75 cm**2
What is the solution to this equation? log6(x) + log6(3) = log6( x+1)
Answers
Answer:
A
Step-by-step explanation:
got it right
The solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2.
What is a logarithm?A logarithm is an exponent or power to which a base must be raised in order to produce a given number. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐn.
How to solve this problem?We know that logₐx + logₐy = logₐ(xy)
Here, log₆(x) + log₆(3) = log₆( x+1)
i.e. log₆(3x) = log₆( x+1)
i.e. 3x = x + 1
i.e. 3x - x = 1
i.e. 2x = 1
i.e. x = 1/2
Therefore, the solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2. So, option A is correct.
Learn more about logarithm here -
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Write each number as a fraction or Mixed number.
(Please help!!! Im trying to promote! :(
Answers
Answer:
0.7 repeating is 7/9
0.04 repeating is 4/99
4.45 repeating 4 4/11
2.19191919...... is 2 19/99
hope this helps
have a good day :)
Step-by-step explanation:
simplify -3(4u-56b)???
Answers
-12u+168b is the answer
is .02 equivalent to .002?
Answers
Answer:
No
Step-by-step explanation:
0.002 has one extra zero making it smaller than 0.02
Answer:
Step-by-step explanation:
.02 is the same thing as [tex]\frac{2}{100}=\frac{1}{50}[/tex]
.002 is the same thing as [tex]\frac{2}{1000}=\frac{1}{500}[/tex]
so, no, they are not equivalent.
please help due 5 mins
Answers
Answer:
SOLUTION:
The volume V of a prism is V = Bh, where B is the
area of a base and h is the height of the prism.
The volume is ==== 108 cm3
.
Step-by-step explanation:
V(prism) = length x cross section area
= 4.5 x 9.6 x 6/2
= 129.6
The base of a solid is the region enclosed by y = e^x, the x-axis, the y-axis, and the
line x = 8. Cross sections perpendicular to the x-axis are squares. Find the volume of
the solid.
Answers
Answer:
You can use the definite integral to find the volume of a solid with specific cross sections on an interval, provided you know a formula for the region determined by each cross section. If the cross sections generated are perpendicular to the x‐axis, then their areas will be functions of x, denoted by A(x). The volume ( V) of the solid on the interval [ a, b] is
Which statement is true about every rectangular pyramid? Each lateral face has an area less than the area of the base. At least two of the lateral faces are congruent. Each lateral face has the same height. At least one of the faces has a whole number base or height.
Answers
Answer:
B is correct
Step-by-step explanation:
the sum of two consecutive number is 15. the number are and solve
Answers
By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,
Let us take :-
First number = x Second number = x + 1According to the Question :-
[tex]\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }[/tex]
Therefore :-
First number = 7 Second number = 8Hence the two numbers are 7 and 8.
Where do the parabola defined by y=-22 + 4x + 1 and the line defined by y=-x+ 5 intersect? O (4,1) and (-1,6) O (-4,9) and (-1,6) (-4, 9) and (-1,-6) O (4,1) and (1, 4)
Answers
Answer:
(4,1);(1,4)
Step-by-step explanation:
The point on the parabolic equation y = -x² + 4x + 1 and line y = -x + 5 intersect is P ( 4 , 1 ) and Q ( 6 , -1)
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be y = -x² + 4x + 1
Let the equation of line be y = -x + 5
Now , To find the points of intersection between the parabola y = -x² + 4x + 1 and the line y = -x + 5, we need to set the two equations equal to each other and solve for x and y simultaneously.
Setting y = -x² + 4x + 1 equal to y = -x + 5, we get:
-x² + 4x + 1 = -x + 5
Rearranging the equation, we get a quadratic equation in standard form:
-x² + 4x + x - 1 - 5 = 0
-x² + 5x - 6 = 0
Factoring the quadratic equation, we get:
-(x - 1)(x - 6) = 0
Setting each factor equal to zero and solving for x, we get two potential values for x:
x - 1 = 0 or x - 6 = 0
x = 1 or x = 6
Now, substituting the values of x back into the equation y = -x + 5 to find the corresponding y-values, we get:
For x = 1:
y = -1 + 5
y = 4
So, one point of intersection is (1, 4)
For x = 6:
y = -6 + 5
y = -1
So, the other point of intersection is (6, -1).
Hence , the point of intersection is P ( 4 , 1 ) and Q ( 6 , -1)
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What are the angles labeled ?
Answers
Answer:
90° angle
Step-by-step explanation:
Every time you see an angle that has a box, it measures 90°
where would the line y=x+7 cross the y axis? how do you know?
Answers
Answer:
At point (0, 7)Step-by-step explanation:
The line crosses with y-axis when x = 0:
y = 0 + 7 = 7The y-intercept is the required point and its coordinates are (0, 7)
Check all that apply. is the reference angle for:
A.
1277
4
B.
1577
4
D C
1977
4
D.
777
Answers
Answer:
B. C. and D.
Step-by-step explanation:
What is the area of a rectangle with side length of 5/12 foot and 2/ 3 foot
Answers
Answer:
5/12 x 2/3 = 10/36 = 5/18 foot2
PLEASE HELP!! SHOW STEPS FOR BRAINLIEST! Pythagorean theorem BASED question:
An artist joined three square regions at their
vertices to create the figure shown in the diagram.
The artist will use small congruent square tiles to
cover each region without any gaps or overlaps.
Based on the information, which statement is true?
A. The number of tiles needed to cover Region X
is the same as the number of tiles needed to
cover both Region Y and Region Z.
B. The number of tiles needed to cover Region Y
is the same as the number of tiles needed to
cover both Region X and Region Z.
C. The number of tiles needed to cover Region Z
is the same as the number of tiles needed to
cover both Region X and Region Y.
D. None of these
Answers
This is a classic proof of the Pythagorean Theorem!
Pythagorean theorem is a^2 + b^2 = c^2. With a square, its area is its side length squared. Therefore, if we think about this as squares, then the sum of the area of square X and square Y will be equal to the sum of square Z.
Looking at your answer choices, the best option is C - The number of tiles needed to cover Region Z is the same number of tiles needed to cover both Region X and Region Y.
Hope this helps!! :)
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Answers
Answer:
C
Step-by-step explanation:
need help with this question
Answers
Answer:
n = 12.5t
Step-by-step explanation:
add up the calories burned in both days
275 + 450 = 725
add up the minutes running on both days
22 + 36 = 58
divide calories by minutes
725 calories/58 minutes = 12.5 calories/1 minute
So 12.5 multiplied by any number of minutes tells you how many calories you burned
The number of calories you burned is dependent on the number of minutes you ran.
A jar of 150 marbles costs $4.50. If the cost varies directly with the number of marbles in the
jar, what should a jar of 250 marbles cost?
Answers
4.50/150=0.03
0.03x250=7.5
What is the percent decrease from 25 to 15?
Answers
------------------
Set up, cross multiply:
Answer: 40%
Step-by-step explanation:
I took the k12 test lol
find the area of the figure. (picture)
2in
2in
3in
2in
5in
Answers
Answer:
29 in.²
Step-by-step explanation:
2 in. × 2 in. = 4 in.²
3 in. × 5 in. = 15 in.²
2 in. × 5 in. = 10 in.²
4 in.² + 15 in.² + 10 in.²
29 in.²
a manufacturer made a profit of 60% when he sold each plate for $10. calculate the cost of manufacturing each plate
Answers
Answer:
160:10
100:x
160x=1000
x=1000/160
x= $6.25
A color wheel is divided into 6 equal pieces.
Select all of the true statements about the pieces of the color wheel. A.
Two pieces have a total of 180°.
B.
Four pieces turn through 240 one-degree angles.
C.
Two 90° angles can fit into 3 pieces of the color wheel.
D.
Two pieces have a total angle measure of 90°.
E.
Each piece has an angle measure of 60°.
Answers
Answer:
B,C,E your welcome
Step-by-step explanation:
Answer: b e and c hope this was useful
Please help ASAP
Select the correct answer.
A number is selected at random from the set ( 2,3,4,...10). Which event, by definition, covers the entire sample space of this experiment
A) The number is greater that 2.
B) The number is not divisible by 5.
C) The number is even or less that 12.
D) the number is neither prime nor composite.
E) The square root of the number is less than 3.
Answers
Answer:
A
Step-by-step explanation:
What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25
Answers
Answer:
10 Sorry if wrong!
Step-by-step explanation:
40×0.25=10
Answer:
25/100 x 40 = 10
Step-by-step explanation:
The keyword 'of' means multiplication
Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.
hey! pls help i’ll give brainliest
Answers
Answer:
Option 1
Flood
Step-by-step explanation:
As she lives next to the river heavy rains can cause the water to overflow
Work out the area of the parallelogram.
Answers
Answer:
Step-by-step explanation:
it does not show the problem