Answer:
The answer is 8
Step-by-step explanation:
In a right triangle, the hypotenuse / the opposite side is:
answer choices:
cosine
cotangent
cosecant
secant
The endpoints of are A(2, 3) and B(8, 1). The perpendicular bisector of is , and point C lies on . The length of is units. The coordinates of point C are . The slope of is . The possible coordinates of point D are and .
Answer:
The Coordinates of Point C are C(5,2)
The slope of CD is 3
The possible coordinates of point D(a,b) are (6, 5) and (4, -1)
Step-by-step explanation:
According to the Question,
Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.Now, Let The Coordinates of Point C are C( x , y ) .
Thus, C( x , y ) = ((8 +2) / 2 , ( 1 + 3 )/ 2 ) ⇒ (10/2 , 4/2) ⇒ (5 , 2)The Coordinates of Point C are C( x , y ) ⇒C(5, 2).
And, The slope of AB = (1 - 3)/(8 - 2) ⇒ -2/6 ⇔ -1/3 .
Thus, The slope of CD is -1/(The slope of AB) = -1/(-1/3) ⇔ 3.Let the coordinate of D be (a, b) then
⇒ √{ (b - 2)² +(a - 5)² } = √10
on squaring both sides we get,
⇒ a² - 10a + 25 + b² - 4b + 4 = 10
⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)
We Know, the slope of CD = 3
⇒Thus, (b - 2)/(a - 5) = 3
⇒ b - 2 = 3a - 15
⇒ b = 3a - 13 ⇔⇔ (Equation 2)
Putting value of Equation 2 into Equation 1, We get
⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19
⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19
⇒10a² - 100a + 240 = 0
⇒a² - 10a + 24 = 0
⇒(a - 4)(a - 6) = 0
⇒a = 4 or a = 6
Now,
When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1
When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5
Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).
Answer:
The answer above is 100% correct
Step-by-step explanation:
I got 100 on my quiz.
Jaira is volunteering to stack 12 boxes of soup cans at a community food bank. She stacks the boxes to form a right rectangular prism. Describe or show 2 different ways that Jaira could have arranged her boxes to still make a rectangular prism.
Example: 6 boxes long, 1 box wide, and 2 boxes high ( 6 x 1 x 2 = 12 boxes )
A second way is: 4 boxes, ? , ? 4 x ? x ? = 12 boxes
A third way is: ? ? x ? x ? = ? boxes
2. Would you measure the space these boxes’ shape take up the same way you counted the area that the rug covered on the floor? Explain.
Answer:
6 boxes wide
6 boxes wide
or 2high 2high 2high 2high 2high 2high
Step-by-step explanation:
6 wide and 6 wide to make 12. 6x2=12
2 high ×6 2×6=12
There are 4 basketballs and there are 10 footballs.
What is the ratio of basketballs to footballs shown below?
A)1:10
B)1:4
C)2:7
D)2:5
Answer:
2:5
Step-by-step explanation:
B: 4
F: 10
Ratio:
4:10
Simplify:
2:5
Hope this helps!
Please mark as the Brainliest!
Ratio of basketballs to footballs is 2:5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that There are 4 basketballs and there are 10 footballs.
we need to find the ratio of basketballs to footballs
As we know ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Ratio can also be written as fraction form.
Basketballs = 4
Footballs = 10
Ratio of basket balls to footballs is 4/10
As 4 and 10 are multiples of 2 we divide numerator and denominator by 2.
The ratio of basketballs to footballs is 2/5
Hence, ratio of basketballs to footballs is 2:5
To learn more on Ratios click:
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Can someone find this angle?
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
d+ 2d + 60 = 180
3d = 180 - 60
3d = 120
d = 40
The angles are 40, 80, 60
Answers include A.5/13
B -5/13
C 5
D -5
Answer:
i solve the question and answer is (a)5/13
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
What is the volume of the plastic rocket???
Answer:
A) 151 in³ or 151 cubic inches
Step-by-step explanation:
Volume of rocket = Volume of Cylinder + Volume of Cone
Step 1
Find the volume of the cylinder
Volume of a cylinder = πr²h
r = Diameter/2
= 5/2 = 2.5 inches
h = 6 inches
Hence,
π × 2.5² × 6
= 117.81 cubic inches
Step 2
Find the volume of the cone
Volume of a cone =1/3 πr²h
h = 11 inches - 6 inches
= 5 inches
r = 2.5 inches
Hence,
1/3 × π × 2.5² × 5
= 32.72 cubic inches
Therefore:
Volume of rocket = Volume of Cylinder + Volume of Cone
= 117.81 cubic inches + 32.72 cubic inches
= 150.53 cubic inches
Approximately to the nearest inch = 151 in³ or 151 cubic inches
Option A is correct
Please help me! I am stuck please please! :(
Answer:
side AC =[tex]10\sqrt{3}[/tex] , angle A=30 degree , angle B=60 degree
Step-by-step explanation:
using pythagors theorem
a^2 + b^2 =c^2
here a and b are the legs of the triangle whereas c is hypotenuse so,
10^2 + AC^2 = 20^2
100 + AC^2 = 400
AC^2 =400-100
AC^2 =300
AC=[tex]\sqrt{300}[/tex]
AC=[tex]10\sqrt{3}[/tex]
For angle A
take angle A as reference angle
using sin rule
sin A =opposite/hypotenuse
sin A=[tex]\frac{10}{20}[/tex]
sin A=[tex]\frac{1}{2}[/tex]
A=[tex]sin^{-1} (\frac{1}{2} )[/tex]
A=30 degree
For angle B
angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)
30 + angle B + 90=180
120 + angle B =180
angle B =180-120
angle B =60 degree
write an equation to show the relationship between a and c when a = b + 9 b = c - 2
Given:
The equations are:
[tex]a=b+9[/tex]
[tex]b=c-2[/tex]
To find:
The equation that show the relationship between a and c.
Solution:
We have,
[tex]a=b+9[/tex] ...(i)
[tex]b=c-2[/tex] ...(ii)
Equation (i) can be rewritten as:
[tex]a-9=b[/tex] ...(iii)
From (ii) and (iii), we get
[tex]a-9=c-2[/tex]
[tex]a-c=9-2[/tex]
[tex]a-c=7[/tex]
Therefore, the required equation is [tex]a-c=7[/tex].
What is the answer for this?
Answer:
D. Four right angles
Step-by-step explanation:
Answer:
DStep-by-step explanation:
one of the property of all rectangles is that it has four right angles
:-)
La Sra. Conley le pregunta a su clase qué tipo de fiesta quieren tener para celebrar su comportamiento ejemplar. De todos los estudiantes en la clase, 5 quieren una fiesta de helado, 7 quieren una fiesta de películas, 10 quieren una fiesta de disfraces y los demás están indecisos. Si el20%, quiere una fiesta de helado, ¿cuántos estudiantes hay en la clase?
Answer:
En la clase hay 25 alumnos.
Step-by-step explanation:
La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.
De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?
[tex]totalidad de los alumnos=\frac{100*5}{20}[/tex]
totalidad de los alumnos= 25
En la clase hay 25 alumnos.
The angle measurements in the diagram are represented by the following expressions.
LA=5x-5°
ZB = 3x + 13°
B
Answer:
x=9
Step-by-step explanation:
angle A =angle B (because they are corresponding angles)
5x-5=3x+13
5x-3x=13+5
2x=18
x=18/2
x=9
angle A=5x-5
=5*9-5
=45-5
=40
angle B=3x+13
=3*9+13
=27+13
=40
Answer:
A = B
5X-5 = 3X+13
5X-3X. =13+5
2X =18
X = 9
5X-5
(5×9)-5
45-5
=40
ANGLE A=ANGLE B =40
Find the values of x and y
X=
Y=
Answer:
x = 7
y = 4
Step-by-step explanation:
y + 12 = 3x - 5
5y - 4 = 3x - 5
So y + 12 = 5y - x
To solve the equation above, y =4
Sub y = 4,
x = 7
Evaluate.
pls I need
Write a recursive rule for the sequence.
5. – 20, 80, 320, 1280,
Step-by-step explanation:
the answer is in the image above
What is the slope of the line represented by the equation y = - 글 x + 끝?
O O
No all ele we
0
Given:
Consider the given equation is:
[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex]
To find:
The slope of the line that is represented by the given equation.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is y-intercept.
We have,
[tex]y=-\dfrac{7}{2}x+\dfrac{11}{3}[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{7}{2}[/tex]
Therefore, the slope of the given equation is [tex]-\dfrac{7}{2}[/tex].
PLS HELP Find the value of x.
A. 7
B. 14
C. 3
D. 11
Answer:
A
Step-by-step explanation:
The midsegment is half the sum of the parallel bases, that is
21 - x = [tex]\frac{1}{2}[/tex] (17 + 11)
21 -x = [tex]\frac{1}{2}[/tex] × 28 = 14 ( subtract 21 from both sides )
- x = - 7 ( multiply both sides by - 1 )
x = 7 → A
The value of x is 7
What is mid point theorem?The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side. This theorem is used in various places in real life, for example in the absence of a measuring instrument, we can use the midpoint theorem to cut a stick into half.
Midpoint Theorem FormulaIn math, we also have a midpoint theorem formula which has its applications in coordinate geometry. It can also be known as the midpoint theorem of a line segment. It states that if we have a line segment whose endpoints coordinates are given as (x1, y1) and (x2, y2), then we can find the coordinates of the midpoint of the line segment by using the formula given below:
Let (xm, ym) be the coordinates of the midpoint of the line segment. Then,
(xm, ym) = ( (x1 + x2)/2 , (y1 + y2)/2 )
This is known as the midpoint theorem formula.
As, midsegment is half the sum of the parallel bases
21 - x = 1/2 (17 + 11)
21 - x= 12* 28
21-x= 14
x= 7
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Find the total surface area of the rectangular prism in square millimeters. 2cm 6 cm 9cm
==============================================
Work Shown:
L = 2 = lengthW = 6 = widthH = 9 = heightThe order of length, width and height doesn't matter
SA = surface area of rectangular prism
SA = 2*(LW + LH + WH)
SA = 2*(2*6 + 2*9 + 6*9)
SA = 2*(12 + 18 + 54)
SA = 2*(30+54)
SA = 2*(84)
SA = 168 square cm
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(2). 1 yd ≈ 0.9144 m
1 yd³ ≈ 0.76455 m³
2 yd³ ≈ 1.53 m³ ≈ 2 m³
(3). 1 ft ≈ 0.3048 m
1 ft² ≈ 0.0929 m²
162 ft² ≈ 15.1 m²
(4). 1 mi ≈ 1.60934 km
1 mi² ≈ 2.59 km²
503 mi² ≈ 1302.8 km²
Identify all statements that are true.
A translation is a slide of a congruent shape.
Answer:
Step-by-step explanation:
so u gotta do 1=1/9nk
Answer:
True, a translation is a slide of a congruent shapes.
Step-by-step explanation:
If the size and shape of the figure is not changed, then the figures are congruent.
Use the FOIL method to find the product.
(5x-8)(2x + 6)
Answer: 8
Step-by-step explanation:
Answer:
10x² + 14x - 48
Step-by-step explanation:
F: (5x)(2x) = 10x²
O: (5x)(6) = 30x
I: (-8)(2x) = -16x
L: (-8)(6) = -48
combine the two middle terms to get 14x
10x² + 14x - 48
PLEASE HELP ME I HAVE TO GET THIS DONE BEFORE IN 10 MINUTES, ILL GIVE BRAINLIEST Determine whether the triangles are similar. If they are, find the scale factor of A ABC to A DEF. B E 12 9 64° D F 12 64° А с 16
Answer:
2nd one
Step-by-step explanation:
They are similar of course. But with the scale factor 3/4. 9/12 is 3/4, so is 12/16. Hope this is correct!
Which equation would show the original function y = f(x) shrunk by a factor of 1/5, reflected
across the x-axis, translated 3 units left and 4 units down?
A. y = -1/5 f(x – 3) - 4
B. y = 1/5 f(x – 3) - 4
C. y = 5 f(x - 3) + 4
D. y = -1/5 f(x + 3) – 4
Answer:
B, I don't remember the reasoning but I know that's the answer
3. Describe two methods you can use to graph the equation y = 3x - 4?
Step-by-step explanation:
any two methods that you can use to graph the equation are
y+4/3=x
y+4=3x
Can you Please Answer, This question
Min and Evan played a video game. Min scored 6,978 points. This is 3 times the number of points that Evan scored.
How many more points did Min score than Evan?
Step-by-step explanation:
Find the score for evan then subtract the points for min and evan tu find the difference
Write the equation of the line passing through the points (-7,9) and (7,5).
Answer:
[tex]y=-\frac{2}{7} x+7[/tex]
Step-by-step explanation:
First Solve For The Slope Using The Two Given Points!
M = Slope
M = [tex]\frac{y2-y1}{x2-x1}[/tex]
M = [tex]\frac{5-9}{7--7}[/tex] Two negative signs together makes addition!
M = [tex]\frac{-4}{14}[/tex] Move the negative sign (only if the fraction has a negative)
M = [tex]-\frac{4}{14}[/tex] Simplify
M = [tex]-\frac{2}{7}[/tex] Final Answer
Then see how many units the graph goes up = y-intercept
Answer: 7
What is the volume of this cylinder?
??
Answer:
197.92
Step-by-step explanation:
pretty simple not hard bub
five decimals between 0.42 and 0.44
Answer: 0.421, 0.422, 0.423, 0.43, 0.434
Step-by-step explanation:
(m+n)^2 - (m-n)^2 = 16 then mn is
Answer:
mn = 4
Step-by-step explanation:
(m+n)^2 = m^2 + 2mn + n^2
(m-n)^2 = m^2 - 2mn + n^2 multply the second equation by (-1) then subtract it from first equation
m^2 + 2mn + n^2 - m^2 + 2mn - n^2 = 16
4mn = 16 divide both sides by 4
mn = 4
