Answer:
3mStep-by-step explanation:
The length of the ramp will be the longest side of the right-triangular shape (the hypotenuse). The height and the horizontal length will be the other two sides (adjacent and opposite).
Acording to the theorem;
hyp² = opp²+adj²
Given
opp = 30cm = 0.3m (convert to metres)
adj = 3 m
Substitute
hyp² = 0.3²+3²
hyp² = 0.09+9
hyp² = 9.09
hyp = √9.09
hyp = 3.0145 m
Hence the estimated length of the ramp in meters is 3m
Alyssa read 25 pages of a new book the first day she bought it. After the first day, she read 5 pages a day. If the book was 350 pages, which equation can be used to determine how many days it will take Alyssa to finish her book?
Answer:
(350-25)-5p=0
Step-by-step explanation:
What is the value of a in the equation 3 a plus b equals 54 when b equals 9?
Answer:
a= 15
Step-by-step explanation:
Given
3a + b = 54 ← substitute b = 9
3a + 9 = 54 ( subtract 9 from both sides )
3a = 45 ( divide both sides by 3 )
a = 15
Calculate the volume of the composite figure. *
Answer:
13 m3
Step-by-step explanation:
In the coordinate plane, point B has coordinates (2,3) and is the midpoint of the line segment AC. The coordinates of points A and C are (p,7) and (−6,−1), respectively. What is the value of p ?
Answer:
The value of p is 10
Step-by-step explanation:
Here, we are told that the midpoint of the segment AC is B. What this means is that, applying the midpoint formula on AC would give the coordinates of B.
Mathematically;
(x,y) = {(x1 + x2)/2, (y1 + y2)/2}
(2,3) = (p -6)/2 , (7-1)/2
equating identities;
(p-6)/2 = 2
p-6 = 2 * 2
p-6 = 4
p = 4 + 6
p = 10
The value of p as described in the question is; 10
Since the point B, with coordinates (2,3) is the midpoint of the line segment AC.
Therefore, the x-coordinate of point B (2) is the midpoint of the x-coordinate of point A and C.
The value of p can then be evaluated as follows;
(p + (-6))/2 = 2By Cross-product; we have;
p - 6 = 4p = 4 + 6p = 10.The value of p is therefore; 10
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While traveling across flat land, you notice a mountain directly in front of you. The angle of elevation to the peak is 1.5°. After you drive 23 miles closer to the mountain, the angle of elevation is 13°. Approximate the height of the mountain.
Answer:
0.68 miles
Step-by-step explanation:
Let's say that the height of the mountain is h
The distance between the mountain and the car, after moving 23 miles closer to the mountain, will be x (let's pose it as x for now)
tan(1.5°) = opposite/adjacent = h/23 + a
=> h = (23 + a)tan(1.5°) ---- (1)
tan(13°) = h/a
=> h = a(tan(13°)) ---- (2)
Now since h is common among the two equations, we can equate them;
[tex]\left(23+a\right)\tan \left(1.5^{\circ \:}\right)=a\left(\tan \left(13^{\circ \:}\right)\right),\\23\tan \left(1.5^{\circ \:}\right)+\tan \left(1.5^{\circ \:}\right)a=\tan \left(13^{\circ \:}\right)a,\\\\\tan \left(1.5^{\circ \:}\right)a-\tan \left(13^{\circ \:}\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\left(\tan \left(1.5^{\circ \:}\right)-\tan \left(13^{\circ \:}\right)\right)a=-23\tan \left(1.5^{\circ \:}\right),\\\\[/tex]
[tex]a=\frac{23\tan \left(1.5^{\circ \:}\right)}{\tan \left(13^{\circ \:}\right)-\tan \left(1.5^{\circ \:}\right)} = 2.94249...[/tex]
[tex]h = 2.94249tan\left(13^{\circ }\right) = 0.67932\dots[/tex]
The height of the mountain ≈ 0.68 miles
Which statement about numbers is true?
A. All integers are natural numbers.
B. All rational numbers are integers.
C. All natural numbers are whole numbers.
D. All rational numbers are natural numbers.
Answer:
C) All natural numbers are whole numbers.
Step-by-step explanation:
I got the awnser right on my quiz.
Hope this helps! :)
Answer:
c
Step-by-step explanation:
What is the equation of the line that is perpendicular to y = -4x +5 and passes
through the point (4, -3)?
A.y=4x-19 B.y=-4+13 C.y=1/4x-4 D.y=-1/4x-2
Answer:
The answer is C, y = 1/4x - 4
Step-by-step explanation:
First, we have to find the slope of the perpendicular line, and to do so you must take the slope of the given line and opposite reciprocate it.
To do so, you first reciprocate the slope by flipping the numerator and denominator which now makes -4 into -1/4.
Then we have to make it the opposite value, like making a negative into a positive or a positive into a negative. In this case you make -1/4 into a positive 1/4.
We now have the slope of the perpendicular line and can make out answer choices A and B. Which now leaves us with C and D.
The line must go through the point (4, -3). To do that we must adjust the y-intercept until it goes though that point.
We get the y-intercept of -4 and the line that has the y-intercept of -4 and the slope of 1/4 is C.
You answer is C, y = 1/4x - 4.
O need help I keep getting my the answer wrong I need a remainder and and I can’t get it right
Answer:
7.18
Step-by-step explanation:
The entire answer is 7.17808219, but I rounded it to the nearest hundreth.
Evaluate (One-fourth) cubed. Check all that apply. The base is One-fourth. The expanded form is (One-fourth) (one-fourth) (one-fourth). The expanded form is StartFraction 1 times 1 times 1 Over 4 EndFraction. (One-fourth) cubed = one-fourth (One-fourth) cubed = StartFraction 1 Over 64 EndFraction
Answer:
The base is One-fourth.
The expanded form is (One-fourth) (one-fourth) (one-fourth).
(One-fourth) cubed = StartFraction 1 Over 64 EndFraction
Step-by-step explanation:
Given:
Evaluate (One-fourth) cubed.
(1/4)^3
= (1/4) (1/4) (1/4)
= 1/64
The base is One-fourth.
The expanded form is (One-fourth) (one-fourth) (one-fourth).
(One-fourth) cubed = StartFraction 1 Over 64 EndFraction
Answer:
its 1, 2, 5.
Step-by-step explanation:
A plumber charges $45 plus $39.75 per hour of service, Miguel's bill was $164.25.
Solve the equation How many hours of service did the plumber charge?
he work at One thousand five hundred fifty hours
What type of number is -v4
Answer:
-2
Step-by-step explanation:
simplify the following polynomial expression. [tex](5x^{3} +4x^{2} +6x-3)+(-2x^{3} +3x^{2} -7x+9)-(5x+3)(4x^{2} +x-1)[/tex]
Answer:
-17x^3-10x^2+x+9
Rosa is driving from Los Angeles to San Francisco. Because of some heavy traffic, she covers a distance of 5 miles in 30 minutes. How many miles does Rosa travel in 48 minutes? PLS HELPPPP:)
Answer:
8 miles.
Step-by-step explanation:
Answer:
8 miles
Step-by-step explanation:do 30divided by 6 which eqauls 5 which is shown above then do the same for 48 which eqauls 8 plzz mark as brainliest
Tony made $90 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?
Answer: $216
Step-by-step explanation:
If you divide 90 by 5 then you get 18 so 18 multiplied by 12 is 216.
Y+2=-3(x-2) solve for y
Answer:
y=-3(x-2)-2
y=-3x+6-2
y=-3x+4
I NEED HELP ASAP (Only answer b )
Amani is calculating the slope of the trendline in the scatterplot below. How can she use the trendline to
check the reasonableness of her answer in other words how can she verify that her trendline fits the
data point
Answer:
Step-by-step explanation:
first one to answer will be marked brainliest
5/8-5/24
Answer:
0.417
*I rounded
Or fraction form, 5/12
Answer:
5/12
Step-by-step explanation:
or in decimal form its 0.416 with the 6 repeating
When Steven celebrated his first birthday, his grandmother gave him $1. For each birthday after that, she doubled the amount of money that she gave him for the previous birthday. By the time Steven turned nine years old, how much money had his grandmother given him?
Answer:
Step-by-step explanation:
the amount gave on his first birthday=$1
therefore,
1,1*2,1*2*2,1*2*2*2,1*2*2*2*2,1*2*2*2*2*2,1*2*2*2*2*2*2,1*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2,1*2*2*2*2*2*2*2*2*2
therefore ,1,2,4,8,16,32,64,128,256
therefore money given at the age of 9 is $256
Find the distance between the cities. Assume that Earth is a sphere of radius 4000 miles and that the cities are on the same longitude (one city is due north of the other). (Round answer to one decimal place.)
City Latitude
San Francisco, California 37° 47' 36" N
Seattle, Washington 47° 37' 18" N
_____Miles
The required distance between the two cities is 684.1 miles.
What is an arc?Arc is the measure of the angle on the circumference of a circle.
Length of an Arc = θ × (π/180) × r
Here,
San Francisco, California 37° 47' 36" N
Seattle, Washington 47° 37' 18" N
Differences in latitude,
Seattle, Washington 47° 37' 18" N
San Francisco, California -37° 47' 36" N
= 9° 49' 42"
Now converting all in degrees
Difference = 9° + 49 / 60 + 42/3600
Difference = 9 + 0.82 + 0.012
Difference = 9.832
Difference = 9.8°
Now,
the arc between two cities = 9.8 * π / 180 * 4000
= 684.1 miles
Thus, The required distance between the two cities is 684.1 miles.
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The numerator of a fraction is 5 less than its denominator. If 1 is added to each its
value becomes 1/2. Find the original fraction.
Please solve it..
Answer: 4/9
Step-by-step explanation:
Let x represent the denominator. Then the fraction is: (x - 5)/x
Add 1 to the numerator and denominator → (x - 5 + 1)/(x + 1) = 1/2
Cross Multiply: 1(x + 1) = 2(x - 4)
Distribute: x + 1 = 2x - 8
Subtract x from both sides: 1 = x - 8
Add 9 to both sides: 9 = x
Numerator: x - 5 → 9 - 5 = 4
Denominator: x → 9
So the fraction is: 4/9
In the diagram shown, lines m and n are
crossed by transversal line t. Why are m and
n not parallel?
Answer:
Step-by-step explanation:
If two line 'm' and 'n' are parallel and a transversal line 't' i intersecting these lines at two distinct points,
Sum of interior consecutive angles should be 180°.
(Property of the angles formed between parallel lines and a transversal line)
Therefore, 114° + 64° = 180°
178° = 180°
Which is not true.
Therefore, lines 'm' and 'n' are not the parallel lines.
write the equation of the line that is perpendicular to x+y=-5 and passes through the point (7,3)
Answer:
x - y = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + y = - 5 ( subtract x from both sides )
y = - x - 5 ← in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1 , thus
y = x + c ← is the partial equation
To find c substitute (7, 3) into the partial equation
3 = 7 + c ⇒ c = 3 - 7 = - 4
y = x - 4 ← equation in slope- intercept form
subtract y from both sides
0 = x - y - 4 ( add 4 to both sides )
4 = x - y , that is
x - y = 4 ← equation in standard form
Please help now! Simplify -4x - x.
A. -5x
B. -4x
C. -3x
Answer:
the answer is -5x
Step-by-step explanation:
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Which equation can be used to represent the statement?
Half of a number minus seven is one and five-tenths.
o 3+x= 1.5
0 1 / 2 x - 1.5=7
o 2-7=15
07-3=1.5
Answer:
C
Step-by-step explanation:
Your welcome!!!!!!!!
Solve for h.
6.51−9.32+h=1.02
Enter your answer as a decimal in the box.
5p squared + 12q squared
Answer:
17p squared
Step-by-step explanation:
10 + 10 + 10 is equal to
30
40
50
1
Answer:
30
Step-by-step explanation:
10 + 10 = 20 + 10 = 30
Another way is 10 • 3 = 30
matthews bed takes up 1/3 of the width of his bedroom 3/5 of the length. what fraction of the area of the floor does matthews bed take up?
Answer:
1/5 (one fifth)
Step-by-step explanation:
if x is the length of the bedroom and y is the width then we can do big brain maffs
Length of floor = x
Width of floor = y
Length of bed = 3/5*x or 3x/5
Width of bed = 1/3*y or y/3
Area of floor = xy
Area of bed = 3x/5 * y/3 = xy/5
Area of bed/Area of floor = (xy/5) / xy = 1/5
What is the image point of (-4, 2) after a translation left 1 unit and down 2 units?
Answer:
(- 5, 0 )
Step-by-step explanation:
A translation of 1 unit left means subtract 1 from the x- coordinate.
A translation of 2 units down means subtract 2 from the y- coordinate.
(- 4, 2 ) → (- 4 - 1, 2 - 2 ) → (- 5, 0 )
The translated coordinate is (-5, 0).
What is Translation?A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction.
Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
Image point (-4, 2)
And, now we have to translate the figure left 1 unit and down 2 units
So, A translation of 1 unit left means subtract 1 from the x- coordinate.
and translation of 2 units down means subtract 2 from the y- coordinate.
Thus, (- 4, 2 ) ----> (- 4 - 1, 2 - 2 ) ----> (- 5, 0 )
Hence, the translated coordinate is (-5, 0).
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There are 24 students in a classroom.
1/3 of the students are wearing a red shirt.
1/4 of the students are wearing a blue shirt.
Everyone else is wearing a white shirt.
How many students in the classroom are wearing a white shirt?
amswer choices
7 students
10 students
17 students