Answers
Answer:
k = 24·√2
Step-by-step explanation:
Given that the angles of the triangle are 45° by 45 by 90°, we have;
The given right triangle = An isosceles right triangle by two angles being equal
The given angle of the right triangle = 90°
The given leg of the right triangle = 24
For an isosceles right triangle, both legs are equal, therefore;
The length of the other leg of the right triangle = 24
By Pythagoras theorem, the measure of the side opposite the 90° side, 'k', is given as follows;
k² = (One leg length)² + (The other leg length)²
∴ k² = 24² + 24² = 1152
k = √1152 = 24·√2 ≈ 33.94.
Related Questions
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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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
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
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.
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:
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
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
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
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:
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°
Work out the area of the parallelogram.
Answers
Answer:
Step-by-step explanation:
it does not show the problem
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!! :)
I need help looking for the answer,but is my answer correct.
Answers
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
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)
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.
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
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.
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.
OMG last one please help
Answers
Answer:
m<D = 14
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(3) - 4
18 - 4
14
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Answers
Answer:
C
Step-by-step explanation:
BRANLIEST PLZZZ Let us say you live in the United Sates and will be vacationing in Canada for 2 months. Discuss all the unit conversions you will need in order to make your stay safe and successful. (List all the units that are different in Canada – and what conversions you would need so that you can make sense of them.)
Answers
Answer:
take care everyone be safe
stay home , stay safe
take vaccination
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
Pls help kendjehdjjekekebwvujfjej
Answers
Answer:
B. 4n²+11n-6
Step-by-step explanation:
________________
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
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
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
HELPPPP ME PLSSS DUE IN 10 MINS FOR 20 POINTS
There are 4 blue tiles and 6 red tiles with the letter A written on them in a bag. In the same bag, there are 2 red tiles and 8 blue tiles with the letter B written on them. What is the probability that a randomly selected tile has the letter B or is blue? Give your final answer as the nearest whole percent.
Answers
Answer:
70%
Step-by-step explanation:
4 blue tiles A
6 red tiles A
2 red tiles B
8 blue tiles B
total: 20
total B: 2 + 8 = 10
total blue, not B: 4
p(B or blue) = (10 + 4)/20 = 0.7 = 70%
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.
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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: