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.
Please Help Me With This Geometry Problem
Answer:
Remember that the area of a square of sidelength L is:
A = L^2
And the area of a circle of diameter D is:
A = pi*(D/2)^2
If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:
Notice that the diameter of the circle will be equal to the diagonal of the square.
And the diagonal of a square of side length L is:
d = √(2)*L
knowing that the side length of our square is 6 inches, the diameter of the circle will be:
D = √2*6in
Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.
The area of the circle is:
A = pi*(√2*6in/2)^2 = (pi/2)*36in^2
The area of the square is:
A' = (6in)^2 = 36in^2
The difference is:
A - A' = (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2
And there are 4 of these segments, then the area of every single one is one-fourth of that:
a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2
The area of each segment is:
a = (pi/2 - 1)*9 in^2
if we replace pi by 3.14, the exact area will be:
a = (3.14/2 - 1)*9in^2 = 5.13 in^2
help me with this math question pls!! Find the value of x
Answer:
x = 3
Step-by-step explanation:
using the mid segment formula since quadrilateral WZYP is similar to that of MZYT, this is expressed as;
29 = 1/2(23 +11x+2)
Cross multiply
2(29) = 23+11x+2
58 = 25 + 11x
11x = 58 - 25
11x = 33
Divide both sides by 11
11x/11 = 33/11
x = 3
Hence the value of x is 3
I have done it more than 10 times i still cant find the answer
Question:
Answer:
there may be mistake in the question
Given:∠H≅∠K Prove: ∆HMG≅∆KMJ
Answer:
what the heck is this. what grade u in cuz im skipping it
Step-by-step explanation:
in a survey of 100 people, 60 like farming and 65 like civil service. find the number of people who likes farming as well as civil service. also find out how many people like only civil war
Let
A=set of people like farmingB=set of people like civil service A[tex]\cup[/tex] B =Total peopleA[tex]\cap[/tex]B=People like bothWe know
[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]
[tex]\\ \sf\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]
[tex]\\ \sf\longmapsto n(A\cap B)=60+65-100[/tex]
[tex]\\ \sf\longmapsto n(A\cap B)=125-100[/tex]
[tex]\\ \sf\longmapsto n(A\cap B)=25[/tex]
Which polygon has an interior angle sum of 1080°?
Answer:
its octagon. first and last one it has total 8 sides
Answer problem below
Answer:
A = 2, B = 1, C = 28Step-by-step explanation:
Find the slope of the line AB.
The slope:
m = (11 - 9)/(11 - 7) = 2/4 = 1/2Since the altitude is perpendicular to AB, it has a slope of -2.
The line with the slope of -2 and passes through point C(6, 16).
Use point-slope equation to find the line:
y - 16 = -2(x - 6)y - 16 = -2x + 12y + 2x = 16 + 122x + y = 28A = 2, B = 1, C = 28
Answer:
Solution given:
A(7,9)
B(11,11)
C(6,16)
Slope of AB=[tex]\frac{11-9}{11-7}=\frac{2}{4}=½[/tex]
since altitude is perpendicular to it .
so its slope becomes negative reciprocal to the slope of base
so
slope of altitude(m) =-2
now
equation of a line passing through C(6,16) perpendicular to its base is:
By using formula
[tex]y-y_{1}=m(x-x_{1})[/tex]
y-16=-2(x-6)
solve it
y-16=-2x+12
y+2x=12+16
in the form of Ax +By=C is:
2x+y=28
:.
A=2B=1
C=28
Find f(x)+g(x)
f(x)=x^2+6x-5
g(x)=-x^2-3x-1
Answer:
2x²+3x-6
Step-by-step explanation:
f(x)+g(x)
= x²+6x-5+x²-3x-1
=2x²+3x-6
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two ______ interior angles.
Fill in the blank question.
Please help.
Answer:
Step-by-step explanation:
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two opposite interior angles.
Find x.
A. √-2
B. 4
C. √2/2
D. √6/2
Answer:
sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = x/2
2 sin 45 =x
2 (sqrt(2)/2) =x
sqrt(2) =x
What is the average of −18.75 and 200.25?
90.75
100.125
109.5
181.5
Ian has 300 counters in a bag. Paul
takes 42 of them. Derek takes 65 of
them. Anne takes 33 of them. What
fraction does Ian have left? Give your
answer in its simplest form.
Start from number 11 and keep adding 2 till you get to 201. how many times did you have to add 2 till you got to 201
Answer:
95 times
Step-by-step explanation:
201=11+(n)*2, 190=(n)*2, n=95
I need help
Center?
Radius?
Answers:
Center = (1, 5)
Radius = 3
===========================================================
Work Shown:
[tex]x^2+y^2-2x-10y+17 = 0\\\\(x^2-2x)+(y^2-10y)+17 = 0\\\\(x^2-2x+0)+(y^2-10y+0)+17 = 0\\\\(x^2-2x+1-1)+(y^2-10y+25-25)+17 = 0\\\\(x^2-2x+1)+(y^2-10y+25)+(-1-25+17) = 0\\\\(x-1)^2+(y-5)^2-9 = 0\\\\(x-1)^2+(y-5)^2 = 9\\\\(x-1)^2+(y-5)^2 = 3^2[/tex]
----------------------
Explanation:
The idea is to complete the square for the x and y terms separately.
Notice the jump from step 3 to step 4 has the first 0 turn into 1-1, and the second 0 turn into 25-25. This is to help complete the square for each part.
The x^2-2x+1 factors to (x-1)^2 and y^2-10y+25 factors to (y-5)^2
Once we reach the last step, we have something in the form [tex](x-h)^2+(y-k)^2 = r^2[/tex]
Center = (h,k) = (1,5)
Radius = r = 3
factor and solve the problem in the photo ……. pleaseeee helppppp i havent done algebra in 2 years
Answer:
Not factarable, all terms must be in x. or y
Step-by-step explanation:
24 cars pass through an intersection each minute while the traffic light is green. In addition, 6 cars pass through the intersection
while the light is yellow. If 84 cars pass through
the intersection during one light cycle (one green light and one yellow light), how long was the green light?
Answer:
3.25 minutes
Step-by-step explanation:
3.25 minutes per green light x 24 = 78
the yellow light is a given, hence 6 cars pass through
78 + 6 = 84 cars
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of AC.
Answer: 8 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED
2x=x+2
x=2
AC=2x+x+2
AC=3x+2
SUbstitute x
AC=3(2)+2
AC=6+2
AC=8
7 is subtracted from the product of 6
Answer:
product =7×6=42
subtract 42-7=35
Instructions: Find the missing side. Round your answer to the nearest
tenth.
22
х
50°
X =
Answer:
x = 16.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/22
22 sin 50 =x
x=16.85297
To the nearest tenth
x = 16.9
How many significant digits are there in the number 5.5x10?? OA) 2 O B) 3 OC) 4 OD) 5
2
[tex]\\ \sf\longmapsto 5.5\times 10^3[/tex]
Take decimals away[tex]\\ \sf\longmapsto 55\times 10^4[/tex]
We know
Zeros to the right end of a number are not counted among significant figuresHence number of significant figures is 2
9514 1404 393
Answer:
2
Step-by-step explanation:
When a number is written in scientific notation, all of the digits of the mantissa are considered significant. The mantissa is 5.5, which has 2 digits.
There are 2 significant digits in the number.
Use prime factor decomposition, to find the HCF of 90 and 210!
Answer:
30
Step-by-step explanation:
90 = 2 × 3^2 × 5
210 = 2 × 3 × 5 × 7
HCF = 2 × 3 × 5 = 30
Which equation matches the graph shown?
Answer:
f(x) = -(x+2)(x-1)
Step-by-step explanation:
We know the zeros are at 1 and -2
f(x) = a *(x-b1)(x-b2) where b1 and b2 are the zeros and a is a constant
f(x) =a(x-1)(x- -2)
f(x) =a(x-1)(x+2)
We know that a must be negative since the parabola opens down so
The only choice is choice D where a = -1
f(x) = -(x+2)(x-1)
Someone plz explains this to me
Answer:
x=19.86
Step-by-step explanation:
use cosine,
cos 19°=x/21
x=cos 19° * 21
x=19.86
write following ratio in simplest form :
125 g : 1 kg
Answer:
125g:1Kg
=> 125g : 1000g
=> 1:4Answer:
1:8
Step-by-step explanation:
125 g:1 kg
125g:1000 g
1 g:8 g
Keep smiling and hope u will be satisfied with my answer.Have a good day :)
Which linear inequality represents the graph below?
(-2,3)
(0-2)
A. y<-{x-2
O B. y<-x-2
O C. ysx-2
O D. ys-x-2
Answer:
B.
Step-by-step explanation:
1. We can clearly see that the "rise" is 5 and the "run" is 2, which cancels out both A. and D.
2. The line is dashed, which therefore cancels out both C. and D.
3. Just by canceling out those two can help you see that B fits what is seen in this figure because option A. has the wrong amount of "rise" over "run".
The linear inequality can be obtained from the given graph (the nature
of the line and the feasible (shaded) region).
Response:
[tex]B. \ y < -\dfrac{5}{2} \cdot x - 2[/tex]
How can the graph of the inequality be determined?The given points in the graph are;
(-2, 3), and (0, -2)
The slope of the line is therefore;
[tex]Slope = \dfrac{-2 - 3}{0 - (-2)} = \mathbf{-\dfrac{5}{2}}[/tex]
The equation of the line is therefore;
[tex]y - 3 = \mathbf{ -\dfrac{5}{2} \cdot (x - (-2))}[/tex]
[tex]y = -\dfrac{5}{2} \cdot x - 5 + 3 = -\dfrac{5}{2} \cdot x - 2[/tex]
[tex]y = \mathbf{-\dfrac{5}{2} \cdot x - 2}[/tex]
Given that the left side (below the line of the equation of the graph) is
shaded and the line of the graph is a broken line, the correct option is
therefore;
[tex]B. \ y < -\dfrac{5}{2} \cdot x - 2[/tex]
Learn more about the graph of inequalities here:
https://brainly.com/question/19251897
Last question i ‘m struggling with.
steAnswer:
Step-by-step explanation:
step1 5(9x-8)=4(x+2)
step2 45x -40=4x +8
step3 41x=48
step 4 x=48/41
please someone answer! i need it rn!
Priya bought a football for £3.50.
She received £1.50 change.
How much money did she give the shop assistant?
£10.00
£4.00
£5.00
Which one £10.00, £4.00 or £5.00?
Answer:
$5.00
Step-by-step explanation:
$3.50+$1.50=$5.00
Martine grew at an average rate of 6cm/year for the first 18 years of her life. If Martine was 50 cm long when she was born, how tall was Martine when she turned 18?
Answer:
158cm
Step-by-step explanation:
Martine had the height of 50cm when born.
Every year she grows at an average rate of 6cm
So the the first 18 years will be 6cm × 18 = 108cm
She will be 108cm + 50cm = 158cm tall by the time she turns 18 years
50cm + (6 × 18)cm
50cm + (6 × 18)cm50cm + 108cm
50cm + (6 × 18)cm50cm + 108cm158cm
The largest U.S. standard postage stamp ever issued has a width of about
3
1 inch, which was of the height of the stamp. Find the height of the stamp.
4.
Answer:
SOLUTION: " The largest US standard postage stamp ever issued has a width of about 1 inch, which was 3/4 of the height of the stamp. Write and solve an equation to find the height of the st
