Answer:
15.24feet
Step-by-step explanation:
Using the method of SOH CAH TOA;
Length of the kite is the hypotenuse = x
If the kite is 10 feet up in the air, then the height = 10feet (opposite)
Angle of elevation = 41 degrees
Sin theta = Opposite/hypotenuse
Sin 41 = 10/x
x = 10/sin41
x = 10/0.6561
x = 15.24 feet
Hence the kite is 15.24feet long
Work out the length of EF
Answer:
EF=2 cm
Step-by-step explanation:
Answer:
EF = 2 cm
Step-by-step explanation:
HK = HG + GK
10 = 4 + GK
GK = 10 - 4
GK = 6 cm
or
KG = 6cm
[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]
[tex]\because EG\cong KG.. (cpct) [/tex]
[tex]\therefore EG = 6 cm [/tex]
[tex]\because FG\cong HG.. (cpct) [/tex]
[tex]\therefore FG = 4 cm [/tex]
EF = EG - FG (E-F-G)
EF = 6 - 4
EF = 2 cm
An automobile manufacturer claims that its car has a 57.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 210 cars, they found a mean MPG of 57.4. Assume the standard deviation is known to be 1.9. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
The value of test statistic
|Z| = |-2.2883| = 2.2883
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 57.7miles/gallon
The standard deviation of the Population = 1.9
The mean of sample x⁻ = 57.4
Given that the sample size 'n' =210
level of significance = 0.1
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }[/tex]
Z = -2.2883
|Z| = |-2.2883| = 2.2883
Final answer:-
The value of test statistic
|Z| = 2.2883
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = -x
Step-by-step explanation:
Let the equation representing the table attached is,
y = mx + b
Here, m = Slope of the line
b = y-intercept
Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table attached,
Slope of the line passing through (23, -23) and (33, -33),
m = [tex]\frac{-33+23}{33-23}[/tex]
m = -1
Equation of the line will be,
y = -x + b
Since, this line passes through another point (43, -43),
-43 = -43 + b
b = 0
Therefore, equation of the line representing the table will be,
y = -x
Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation,
-1.79, 2 1/4, 2.54,-4
Acellus
A bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is blue?
Answer:
3/10
Step-by-step explanation:
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
the bag contains 10 marbles in total
the problem tells us that the bag contains 3 blue marbles
the probablity that a blue marble is drawn is 3/10
GEOMETRY HELP ME
Find the measures of all the angles listed and if the lines are parallel explain why?
Answer:
x= 110°
Step-by-step explanation:
if you continue drawing the top purple line you will have a triangle with three angles
70° ; is given
180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)
180-70-40 = 70°; because sum of angles in a triangle is 180°
So angle x= 180 -70 = 110 because are a linear pair
Answer:
110 deg
Step-by-step explanation:
The supplement of the 140 deg angle measures 40 deg.
Draw a line through the vertex where angle x is that is parallel to the other two lines. That line splits angle x into two angles, an upper angle and a lower angle.
By alternate interior angles, the lower angle that is part of angle x measures 70 deg. Also by alternate interior angles, the upper angle that is part of angle x measures 40 deg.
x = 70 + 40 = 110
Answer: 110 deg
Find the value of x for which L parallel m (3x-33) (2x+26)
Answer:
59
Step-by-step explanation:
Find the diagram attached
From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal
3x - 33 = 2x+26
3x-2x = 26 + 33
x = 59
Hence the value of x is 59
True or false: is x=4 a solution to |x+5| =-9?. Explain
Answer:
No
Step-by-step explanation:
if u subsitute x for 4, 4+5 would equal positive 9.
These are 2 questions please help me
Answer:
Step-by-step explanation:23
Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]
Answer: y = - 3/2x + 5
Step-by-step explanation:
To write the equation in slope intercept form, you will have to find the slope and the y-intercept.
(-2,8) (8,-7)
To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.
-7 - 8 = - 15
8 - (-2) = 10
Slope: -15/10 = -3/2
The slope is -3/2
Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.
8 = -3/2(-2) + b
8 = 3 + b
-3 -3
b = 5
5th grade math. Correct answer will be marked brainliest.
Answer:
1. 38.7
2. 3.87
3. .387
Step-by-step explanation:
1. So when dividing by numbers with exponents specifically 10 which is the most common number to have an exponent with you can look at the exponent and that number is the amount of zeros. So in this question there is 10 to the zeroth power. The amount of zeros would be zero so it is actually 1.
So then 10 to the zeroth power is equivalent to 1. The problem then becomes this: 38.7 / 1 which obviously equals 38.7
2. As I explained earlier, 10 to the first power would be 10 because the exponent number is one so that means the amount of zeros is one.
Equation: 38.7 / 10 which to solve you need to move the decimal to the left which gives you the answer, 3.87
3. The exponent number is 2 so, 10 to the second power is 100.
Equation: 38.7 / 100
Move the decimal to the right twice and it will give you the answer .387
Please note that when multiplying by powers of 10 you move the decimal point to the left and when dividing by powers of ten you move the decimal to the right.
I am in fifth grade right now and I have 98% and up in all classes so these are kind of easy for me.
Solve x + 2∕5 = 1∕3 for x.
Question 15 options:
A)
x = –11∕15
B)
x = 1∕15
C)
x = 11∕15
D)
x = –1∕15
Answer:
D
Step-by-step explanation:
x + 2/5 = 1/3
x = 1/3 - 2/5
x = -1/15
Answer:
-1/15
Step-by-step explanation:
The length is 8 1/3 yd the width is 6 3/4 yd what is the area
Answer:
56 and 1/4 square yds
Step-by-step explanation:
May someone please help me out with this? Look at the image above. How do I do this? May someone help me out please
Answer:
u = 9
Step-by-step explanation:
angle c and a are congruent so take the 2 angles and turn them into an equation
u + 99 = 12u
subtract 1u from both sides, you're left with 99 = 11u
now, divide each side by 11
now you'll get the value of u which is 9 (u = 9)
since 99/11 is 9 that's the value of u.
A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your
house. In what time will the storm reach your house?
Answer:
3 hours
Step-by-step explanation:
(60km)/(20km/hr)=3
Which of the following represents an equation of a line parallel to one whose equation is 2x + 8x = 18
Answer:
y=-4x+3
Step-by-step explanation:
it does not show the equations that are following
but the main thing you need to know is that when two lines are parallel they have the same slope
and do you mean 2x+8y=18 not x?
edit:
answer choices: y=-4x+3, y=8x-2, y=4x+7, y=-8x+9
2y+8x=18
first change that equation to slope intercept form to find the slope
2y = -8x+18 -> y = -4x+9
slope is -4
so the answer is y=-4x+3 because it also has a slope of -4
Which expression is equivalent to -32^3/5?
Answer:
the first one
Step-by-step explanation:
On a floor plan drawn at a scale of 1:100, the area of a rectangle room is 30 cm2. what is the actual area of the room?
Ans
A.30,000 cm2
B. 300 m2
C. 3,000 m
D. 30 m2
write the number 31 in tens and ones. 2 tens ? Ones
Answer:
you could do 3 tens and 1 ones or 2 tens and 11 ones
Step-by-step explanation:
hope this helps!
i neeed help asap please
Answer:
last option.
linear pair
.............
round up 6,614,980 to hundreds
well just look at the tens digit and see if it is bigger or smaller than 5, in this case 8>5
so the answer is 6,615,000, it is 000 because 9+1 became a 10
Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER
Answer:
36-e
Step-by-step explanation:
-
En un paralelogramo de tiene ?
Answer:
Elementos y propiedades del paralelogramo
Lados: el paralelogramo tiene cuatro lados, siendo iguales y paralelos dos a dos (a y b). Ángulos: los ángulos interiores son iguales dos a dos, siendo iguales los ángulos no consecutivos (α y β). Como en todo cuadrilátero, sus ángulos interiores suman 360° (2α + 2β = 360°)
Step-by-step explanation:
Elements and properties of the parallelogram
Sides: the parallelogram has four sides, two by two (a and b) being equal and parallel. Angles: the interior angles are equal two by two, the non-consecutive angles (α and β) being equal. As in any quadrilateral, its interior angles add up to 360 ° (2α + 2β = 360 °) (English version lol)
CAN ANYONE PLEASE HELP IVE GOTTEN NONE AND WILL FAIL IF I DONT GET ANY
A ball is thrown into the air with an initial velocity of 30 meters per second.
The quadratic function h(t) = −4.9t^2 + 30t + 10 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Determine h(3) and explain what it represents.
Answer:
55.9
Step-by-step explanation:
The ball takes 3 seconds to go up 55.9 meters.
3^2=9
-4.9 x 9 = -44.1
30 x 3 = 90
-44.1 + 90 = 45.9
45.9 + 10 = 55.9
Six more than the quotient of a number squared and eleven
Answer:
Step-by-step explanation:
[tex]\frac{n^2}{11}+6[/tex]
find the measure of the missing angle
Answer:
50
Step-by-step explanation:
40 plus 90 equals 130 and triangle must be 180 so we need 50 degree
50°
Let x be the missing angle.
90°(right angle) + 40°(given) + x = 180° ( the sum of degrees of interior angles of triangle)
x = 180°-130°
x = 50°
the options are
A. 1
B. -1
C. 1
D. 1
Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?
Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.
Step-by-step explanation:
solve
2. y+0.4=2
what is y?
The answer is,
[tex]y = 1.6[/tex]
Answer:
Y = 1.6
Step-by-step explanation:
Y = 2 - 0.4
Y = 1.6
Find the average rate of change
Replace x with 1 nd solve, then replace x with 3 and solve:
x^3 - 2x^2 +3x
When x = 1: 1^3 -2(1)^2 +3(1) = 3 -3 +3 = 3
When x = 3: 3^3 -2(3)^2 + 3(3) = 27 -18 +9 = 18
The difference between the two solutions is 18-3 = 15
The difference between the two x values = 3-1 = 2
The rate of change is 15/2 or 7.5 as a decimal.
