Answer:
Step-by-step explanation:
Draw a right triangle with the following conditions.
Make one of the acute angles come out to your right.
The adjacent side should be one of the sides that makes up the acute angle you just drew.
The adjacent side is also horizontal.
The other side is vertical at the left end point of the 15 cm side
The right angle is made by the two sides you have already.
Join the vertical end point to the horizontal endpoint not part of the right triangle.
Label the left side of the horizontal line as 25 degrees.
You are looking for the vertical line length.
The vertical line divided by the horizontal line length = tan(25)
vertical / 15 = tan(25) Multiply both sides by 15
vertical = 15 * tan(25)
vertical = 15 * 0.4663
vertical = 6.995
Answer:
7 cm approximately
Step-by-step explanation:
A right triangle means one of the angles is 90 degrees. It tells one of the other angles is 25 degrees. It doesn't matter which one you call 25 degrees, just don't call the right angle 25 degrees:p.
We are given the adjacent side to 25 degrees. This is the side helping to create the angle whose measurement is 25 degrees. The other side helping to create the angle is the hypotenuse.
We are asked to find the opposite side to the 25 degree angle.
Since we are given the 25 degree angle, the adjacent side measurement=15 cm, and we are asked to find the opposite side measurement=x, we should use tangent ratio.
I like to refer to the acronym to help me remember which trig ratio to use: Soh Cah Toa.
So we need to solve tan(25)=x/15.
We can do this by multiplying both sides by 15 giving us 15tan(25)=x.
Now we punch it into our calculator giving us 6.995 cm approximately.
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10-
(7.2)
- 10
(0,0)
10
- 10 -
A. y 1x
B. y = 7x
C. y = 2x
D. y = -7x
E. y= ²x
F. y= -2x
Answer:
[tex]y = \frac{2}{7} x[/tex]
Step-by-step explanation:
The slope is
[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]
The y-intercept is 0
The equation of line between the points is y = ( 2/7 )x
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 7 , 2 )
Let the second point be Q ( 0 , 0 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2/7 )
Now , the equation of line is y - y₁ = m ( x - x₁ )
y - 0 = ( 2/7 ) ( x - 0 )
y = ( 2/7 )x
Hence , the equation of line is y = ( 2/7 )x
To learn more about equation of line click :
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Help
Find the volume of this cone.
Use 3 for TT.
Answer:
[tex]180ft^{3}[/tex]
Step-by-step explanation:
Volume of a cone:
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
Take [tex]\pi[/tex] as 3, as mentioned in the question
'r' is 'radius' ⇒ {diameter is given so divide by 2: 12/2 = 6}
'h' is 'height'
[tex]V=(3)(6)^{2} (\frac{5}{3} )[/tex]
[tex]V=(3)(36)(\frac{5}{3} )[/tex]
[tex]V=108(\frac{5}{3} )[/tex]
{multiply 108 with 5 and then divide the answer by 3}
[tex]V=108[/tex] × [tex]5[/tex]
[tex]V=540[/tex]
[tex]V=540/3[/tex]
[tex]V=180ft^{3}[/tex]
Successive approximation
Using the digits 0, 1, 2, ...8, 9, determine how many 4-digit numbers can be constructed according to the following criteria.
The number must be odd and greater than 6,000; digits may be repeated.
The number of 4-digit numbers that can be constructed is
Answer:
2000
Step-by-step explanation:
Since the number must be odd, it can have either 1, 3, 5, 7 or 9 in its one's place.
With a 4-digit number starting with 6, any of these digits can be in the one's place and it will still be greater than 6,000.
For the one's place, since we can choose from 5 digits, we have ⁵P₁. In the thousands place, we have one digit which is 6. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively.
So, the total number of 4 digit odd numbers greater than 6000 starting with 6 are 1 × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 1 × 10 × 10 × 5 = 500 numbers.
For the thousands place, we are left with the digits 7, 8 and 9. So, to arrange these 3 digits in the thousands place, we have ³P₁. For the tens and hundreds, place, we can choose from ten digits. So, we have ¹⁰P₁ and ¹⁰P₁ respectively. For the one's place, since we can choose from 5 digits, we have ⁵P₁.
So, the total number of 4 digit odd numbers greater than 6000 starting with 7, 8 or 9 are ³P₁ × ¹⁰P₁ × ¹⁰P₁ × ⁵P₁ = 3 × 10 × 10 × 5 = 1500 numbers.
So, the total number of 4-digit numbers greater than 6000 that can be constructed is 500 + 1500 = 2000 numbers.
what’s the answer to this?
For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost. He walks a distance of 13.75 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.6 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.75 meters . How tall is the goalpost? Round your answer to the nearest hundredth of a meter .
Answer:
Height of the goalpost is 9.25 m.
Step-by-step explanation:
As per the rule of reflection in physics,
Angle of incidence = Angle of reflection
As we can see in the picture attached, both the angles (θ) are equal.
m∠ACB = m∠ECD = 90° - θ
m∠ABC = m∠ADC = 90°
Therefore, both the triangles ΔABC and ΔEDC will be similar.
And by the property of similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{ED}= \frac{CB}{CD}[/tex]
[tex]\frac{1.75}{ED}=\frac{2.6}{13.75}[/tex]
ED = [tex]\frac{1.75\times 13.75}{2.6}[/tex]
ED = 9.25 m
Height of the goalpost is 9.25 m.
Graph a line with a slope of 4 that contains the point (3,0). FOR 100 POINTS PLS
I DONT NEED THE EQUATION I NEED TO SEE IT GRAPHED
ALSO PLEASE PLEASE HELP ME
Answer:
Hi there!
Recall that slope-intercept form is:
y = mx + b
Where m = slope
In this instance, we are given a slope of 4,
therefore:
y = 4x + b
Substitute in the x and y coordinates of the point given:
0 = 4(3) + b
0 = 12 + b
Substract 12 from both side:
-12 = b
Therefore, the equation would be:
y = 4x - 12
Graph the equation by finding x and y values or using a calculator:
x = 0, y = 4(0) - 12 = 12 (0, 12)
x = 1, y = 4(1) - 12 = - 8 (1, -8)
x = 2, y = 4(2) - 12 = - 4 (2, -4)
x = 3, y = 4(3) - 12 = 0 (3, 0)
And so forth:
Thanks<8
a phrase is shown. seven times the sum of a number ,n, and four . which expression represents the phrase ?
Answer: 7(n + 4)
Step-by-step explanation:
I'm not sure how to explain this one, but I'll try:
Seven times the sum of a number, n, and four
7 times n + 4 (sum means addition)
PLEASE HELP!!! Find the equation of the line passing through the point that (4,-1)that is parallel to the line 2x-3y=9
Answer:
y=2/3x-11/3
Step-by-step explanation:
line is parallel so the gradient will be the same ( m=2/3)
using the point (4,-1)
y=2/3x+c
-1=2/3*4+c
-1=8/3+c
c= -11/3
equation ---> y=2/3x-11/3
Can someone help me?
Answer:
C
Step-by-step explanation:
its asking for y, on the graph, the line is placed on point 4
Evaluate the expression, m" ifm = 8 and n = 3.
Answer:
512
Step-by-step explanation:
8^3 = 512
.................
Answer:
512
Step-by-step explanation:
Given
[tex]m^{n}[/tex] ( substitute m = 8, n = 3 into the expression
= 8³
= 8 × 8 × 8
= 64 × 8 = 512
How do I do this problem?
Step-by-step explanation:
here is the answer to your question
Answer:
Step-by-step explanation:
I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and for us:
[tex]m=\frac{5-3}{4-3}=2[/tex] so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):
y - 3 = 2(x - 3) and
y - 3 = 2x - 6 and
y = 2x - 6 + 3 so
y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.
What is the radius of the circle: x^2+y^2=4
1. (0, -4)
2. (0, 4)
3. (2, -4)
4. (0, 0)
Answer:
radius = 2
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius )
x² + y² = 4 ← is in this form
with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2
centre (0, 0 ) and radius = 2
What is the value of the following function when x = 0?
у = -5
y = -2
y = -1
y = 0
Answer:
y = - 2
Step-by-step explanation:
x = 0 lies on the y- axis
The only point on the y- axis where the function crosses is y = - 2
Then when x = 0, y = - 2
What is the value of (3/10)^3?
♡ 3/1000
♡27/1000
♡9/10
♡27/10
Answer:
27/10 is the value of (3/10)^3.
Step-by-step explanation:
It is also written as 0.027
What is the solution to the equation below?
√2x/√x-1=2
A. 4 B. 2 C. 5 D.3
Given:
The given equation is:
[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]
To find:
The solution for the given equation.
Solution:
We have,
[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]
On simplification, we get
[tex]\sqrt{2x}=2\sqrt{x-1}[/tex]
Squaring both sides, we get
[tex]2x=4(x-1)[/tex]
[tex]2x=4x-4[/tex]
[tex]2x-4x=-4[/tex]
[tex]-2x=-4[/tex]
Divide both sides by -2.
[tex]x=\dfrac{-4}{-2}[/tex]
[tex]x=2[/tex]
Therefore, the correct option is B.
a. 65
b. 67
c. 43
d. 23
The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?
City Zoo
Number of Keepers Number of Animals
12 42
Answer:
18
Step-by-step explanation:
42+12= 63
63/7=9
9*2=18
Answer:
18
Step-by-step explanation:
plato/edmentum
Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?
Enter
Answer:
Using the net below, find the surface area
of the pyramid.
sto
5 in
5 in.
Surface Area
=
[?] in?Step-by-step explanation:
Sean is a bookworm. On average, he reads pages in minutes.
Answer:
wow thats very interesting
Step-by-step explanation:
whats ur question
The sum of a father's and his son's age is 60. Eight years ago, the father's age was 3 times that of his son. How old is each of them?
Answer:
Father=41
Son=19
Step-by-step explanation:
Father=f
Son=s
f+s=60
Eight years ago would mean that 16 is subtracted from 60 since there is both of them
3s+s=4s
4s=44
s=11
11+8=19
33+8=41
PLZ ANSWER ILL GIVE BRAINLIEST FIRST CORRECT ANSWER
Answer:
B) Y=-2x+1
Step-by-step explanation:
(-2,5)(2,-3)
M= -8/4 = -2
y = -2x + b
5 = -2(-2)+ b
B= 1
Y=-2x+1
The force of gravity on an object varies directly with its mass. The constant of variation due to gravity is 32.2 feet per second squared. Which equation represents F, the force on an object due to gravity according to m, the object’s mass?
Answer:
f=x−32
Step-by-step explanation:
Subtract 3232 from both sides.
Answer:
f=32.2m
Step-by-step explanation:
got it right on edge
Is (-4, 2) a solution of 4x + 5y <_-7?
Choose 1 answer:
Yes or No
Answer:
no
Step-by-step explanation:
substitute the (x,y) values into the inequality.
4(-4)+5(2) less than or equal to -7
-16+10≤-7
-6≤-7 not a valid answer so ((-4,2) is not a solution
Find the scale factor of the dilation. Then tell whether the
dilation is a reduction or an enlargement
Answer:
Enlargement
k =[tex]\frac{18}{4}[/tex] = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
k = [tex]\frac{new}{old}[/tex]
If k > 1 then its an enlargement.
If k < 1 then its a reduction
Which graph represents this system?
y=3
x+y= 4
Evaluate the expression 2
2^5 = 32
Hope this helps! :)
Answer:
32
Step-by-step explanation:
[tex]2^{5}[/tex]
= 2 × 2 × 2 × 2 × 2
= 4 × 4 × 2
= 16 × 2
= 32
Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of segment AB.
Select one:
a. 23
b. 9
c. 19
d. 3
Answer:
C
Step-by-step explanation:
AB + BC = AC , that is
5x + 4 + 4x - 8 = 23
9x - 4 = 23 ( add 4 to both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Then
AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C
Using the approximation of 5 miles = 8 km
How many km is 22.5 miles?
Answer:
22.5÷5= 4.5
4.5×8= 36
Step-by-step explanation:
22.5÷5=4.5
4.5×8=36
Answer:
36.21024 km are in 22.5 miles you can figure this out because you multiply the length value by 1.609
Which number line represents the solution set for the inequality-1/2x>_4
Answer:
B
Step-by-step explanation:
Firstly, we solve for x
-x ≥ 2 * 4
-x ≥ 8
Multiply both sides by -1
x ≤ -8
So we look at the inequality represented by this;
We can see that the correct inequality is option B;