Answer:
2.02 m
or 2 m 2 cm
Step-by-step explanation:
Imagine a triangle containing the 40° angle and that this angle is at the left. Then the height of the truck bed is 1.3 m and the "shortest possible length of the ramp" is the hypotenuse of this triangle. We need to find the length of this ramp, that is, the length of the hypotenuse.
The sine function relates this 40° angle and the 1.3 m height of the truck bed:
sin 40° = opp / hyp = 1.3 m / hyp
which can be solved for 'hyp' as follows:
1.3 m
hyp = ----------------- = (1.3 m) / 0.6428)
sin 40°
1.3 m
Thus, the length of the ramp must be less than -------------- or 2.02 m
0.6428
where this last result is to the nearest cm.
If the ramp is shorter the angle of the ramp will be smaller and the ramp angle considered safer.
find the third proportional of 3 5 7
Answer: Third proportion is 21/5.
Step-by-step explanation:
Let the proportion be x
so,
3:5:x:7
so
3:5 = x:7
or, 3/5 = x/7
or, 21 = 5x
or, x = 21/5
Find the area of given figure: 6cm 2cm 3cm 1cm
Answer:
12cm²
Step-by-step explanation:
separate it to two parts, rect and square
rect- 3cm×1cm =3cm²
square- 3cm×3cm =9cm²
then, 3cm²+9cm²=12cm²
Solve the quadratic equation by factoring
1). 210m^2+156m-96=0
2). 35m^2+26x-16
3). 35m^2+40m-14m-16
4). (35m^2+40m)+(-14m-16)
5). 5m(7m+8)-2(7m+8)
6). (5m-2)(7m+8)
7.) m= 2/5, -8/7
On the 2nd step I divided 6 on both sides.
1 21.1.1 Study: Characteristics of Ecosystems
A population of Clark's nutcrackers like this one lives in a forest on a mountainside in
Colorado. Which two characteristics of this group of birds make it a population?
A. They live in the same area.
B. They have the exact same genes.
C. They are offspring of the same parents.
D. They belong to the same species.
Answer:
The two populations living habitats are different. Also they are only similar not the same. Although the physical features may look the same, the actual species may be totally different. :)
Step-by-step explanation:
I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8
Answer:
7 cannot be achieved
-1 + 6 = 5
-3 + 4 = 1
-5 + 2 = -3
as you can see, no combinations can form seven
What is the equation of the line that passes through (-12,6) and (-6,1)?
there are 160 girls and 240 boys in a school
i. find the percent of girls in the school
ii. find the percent of boys in the school.
Answer:
girls = 40%
boys = 60%
Step-by-step explanation:
Girls = 160
boys = 240
total students = 160+240
= 400
so,
percent of girls = (160/400)×100%
= (2/5)×100%
= 2×20%
= 40%
so,
percent of boys = 100% - 40%
= 60%
PLEASE HELP DUE IN 15 MNUTES MARKING BRAINLIEST AND 15 POINTS YOU DONT HAVE TO EXPLAIN MUCH
Answer:
see below
Step-by-step explanation:
11a -2(x^2 -3)
Distribute
-2*x^2 -2(-3)
-2x^2 +6
11b 2x(x+4)
Distribute
2x*x +2x*4
2x^2 +8x
12 The perimeter is the sum of all sides
The top is equal to the bottom and the left side is equal to the right
x-10 + x+20+x-10+x+20
Combine like terms
4x +20
tìm tất cả giá trị thực của tham số m để đồ thị hàm số y=x³-mx²+4 cắt trục hoành tại ba điểm phân biệt
Answer:
실례합니다?
Step-by-step explanation:
질문이 뭔가요??? 이해가 안가요? 어느 언어?
SEE QUESTION IN IMAGE
Answer:
See belowStep-by-step explanation:
(b)
The table is attached(i)
The graph is attached(ii)
(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median
(b) Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:
500 - 177 = 323(iii) P(pass) = 323/500 = 0.626 or 62.6%
which are partcial products
for 34 x 28
Answer:
952
Step-by-step explanation:
34 = (30 + 4)
28 = (20 + 8)
34 x 28 = (30 + 4) x (20 + 8)
34 x 28 = 30 x 20 + 30 x 8 + 4 x 20 + 4 x 8
34 x 28 = 600 + 240 + 80 + 32
34 x 28 = 952
952 = 952
cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62
Step-by-step explanation:
cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62
SEE QUESTION IN IMAGE
Answer:
1.54
Step-by-step explanation:
First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as
1.67 = sum / 20
1.50 = sum / 16
1.40 = sum / 14
Multiplying each equation by the number of students in the group to isolate the sum, we get
1.67 * 20 = 33.4
1.50 * 16 = 24
1.40 * 14 = 19.6
We can sum these up to get the total sum of all three groups of students, resulting in
33.4 + 24 + 19.6 = 77
As mean = sum / number of students, we can say that
total mean = total sum / total number of students
total mean = 77 / (20+16+14)
= 77/50
= 1.54
Find the value of x and found to the nearest degree help ASAP
Answer:
22
Step-by-step explanation:
sin(X) = perpendicular/base
sin(X) = 7/19
X=arcsin(7/19)=22
What is the domain of the given function? {x | x = -6, -1,0,3}, { y | y = -7,-2,1,9}, {x | x = -7, -6, -2, -1, 0, 1, 3 , 9}, { y | y = -7, -6 , -2 , -1 , 0 , 1 , 3 , 9}
Answer:
domain = {-6,-7,-7,-7}
Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the slope of the line that represents this relationship if time in months is along the x-axis and the number of cars sold is along the y-axis?
A. 3/13
B. 3
C. 13/3
D. 13
Answer: C. 13/3
Step-by-step explanation:
Time (in months) = xNumber of sold cars = y[tex]slope=\frac{rise}{run} =\frac{y}{x} =\frac{13}{3}[/tex]
what is percent of a number
Step-by-step explanation:
a fraction of a number out of 100%
Answer and step-by-step explanation:
Percent (%) means per 100
A percentage is a number or ratio expressed as a fraction of 100
Example 50% of 8 = 8*50/100 = 4
How much of salt would you get if you evaporate all water from:
375g of a 12% salt solution

Answer:
45g
Step-by-step explanation:
The amount of salt left once the whole water is evaporated can be calculated as follows
= 12% × 375
= 12/100 × 375
= 0.12×375
= 45
Hence 45g of salt is left after the evaporation of water
Answer:
45g
Step-by-step explanation:
Find the exact value of the indicated trigonometric function for the acute angle a:
Given: sin a=5/13, Find: cos a and tan a
Answer:
cos a = 12/13
tan a = 5/12
You use these properties to solve the question,
sin²a+cos²a=1
tana=sina/cosa
The polygons in each pair are similar. find the missing side length
If both are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35[/tex]
Which of the following is the inverse of F(x) = -2x + 3?
Answer:
D
Step-by-step explanation:
y=-2x+3
y-3=-2x, x=(3-y)/2. f^(-1) (x) = (3-x)/2. The equation is (3/2)-x/2.
Answer:
c
Step-by-step explanation:
repost , can someone help asap!
Answer:
y = -3/4x + 3
Step-by-step explanation:
Please help me with this question I would really appreciate it!!!
Answer:
0, 1.32
Step-by-step explanation:
16cos(t)*sin(t)=4sin(t)
cos(t)=1/4 or sin(t)=0
t=1.32 or 0
SOMEONE HELP ME PLEASE
here's the answer to your question
Tìm nghiệm của đa thức sau:2x mũ 2-5x-3
What is the answer if 202^2 base3 - 112^2 base3?
Answer:
Hello,
answer is 204 in base 10 or 21120 in base 3
Step-by-step explanation:
[tex]((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3[/tex]
more geometry help :)
Answer:
Step-by-step explanation:
Multiply both the co-ordinates of each vertex by the scale factor and then simplify it.
A(-3 , 2) A'(-3*8 , 2 * 8) = A' (-24 , 16)
B(2,1) B'(2*8 , 1*8) = B'(16,8)
C(-1,-3) C'(-1*8,-3*8)= C'(-8,-24)
Answer:
see explanation
Step-by-step explanation:
Assuming the dilatation is centred at the origin, then multiply each ot the coordinates by the scale factor 8
A (- 3, 2 ) → A' (8(- 3), 8(2) ) → A' (- 24, 16 )
B (2, 1 ) → B' (8(2), 8(1) ) → B' (16, 8 )
C (- 1, - 3 ) → C; (8(- 1), 8(- 3) ) → C' (- 8, - 24 )
Find the missing side. Round to the nearest tenth
We know
[tex]\boxed{\sf cos\theta=\dfrac{Base}{Hypotenuse}}[/tex]
[tex]\\ \sf\longmapsto cos59=\dfrac{x}{28}[/tex]
[tex]\\ \sf\longmapsto 0.5=\dfrac{x}{28}[/tex]
[tex]\\ \sf\longmapsto x=28\times 0.5[/tex]
[tex]\\ \sf\longmapsto x\approx 14[/tex]
Answer:
[tex]x = 14[/tex]
Step-by-step explanation:
[tex] \cos( \theta) = \frac{a}{h} \\ \cos(59) = \frac{x}{28} \\ 0.5 \times 28 = x \\ 14 = x[/tex]
three consecutive even numbers add up to 105 determine the product of the three numbers
Answer:
34 + 35 + 36 = 105
Step-by-step explanation:
Select all the points that are on the graph of the line y = −1/4 x + 3.
a. (0, -1/4)
b. (0, 3)
c. (1, 11/4)
d. (1, 3)
e. (1, 13/4)
f. (3, 0)
The points on the graph ( b , c )
I hope I helped you ^_^
