Answer:
If it is direct proportionality, then y = kx where k is a constant. Use the given information to find k:
8 = k(12) ⇒ k = 8/12 = 2/3
y = (2/3) x
For y = 12,
12 = (2/3) x ⇒ x = (3/2)*12 = 18
x = 18 when y = 12
I hope this helps a little bit.
Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart on a level surface and measuring the angle of elevation to the balloon. From
Albert, the balloon was at an angle of elevation of 62°and from Issac its was 48º. Determine the height of
the balloon above the ground to the nearest foot.
Answer:
144 feet to nearest foot.
Step-by-step explanation:
Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet
So we have 2 right angled triangles and:
tan 62 = h/x
tan 48 = h / (400- x) where h is the height of the balloon.
From the first equation x = h / tan 62 so plugging this into the second one:
tan 48 = h / ( 400 - h/tan 62)
h = 400 tan 48 - h tan 48 tan 62
h + h tan 48 tan 62 = 400 tan 48
h ( 1 + tan48 tan62) = 400 tan48
h = 400 tan 48 / (1 + tan 48 tan 62)
= 143.8 feet.
In the isosceles triangle ABC
AB=AC
angle B = (3x 32)º
angle C =(87-2x)"
Work out the value
of x.
Answer:
x = 4.5
Step-by-step explanation:
Angle B = angle C because it is an isosceles triangle.
3x32 = 87-2x
96 = 87-2x
reduce:
9 = 2x
x = 4.5
An isosceles triangle is one with two equal-length sides. The value of x is 11.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Since in an isosceles triangle, the angle made by the equal sides and the base are equal, therefore, we can write,
∠B = ∠C
3x + 32 = 87 - 2x
3x + 2x = 87 - 32
5x = 55
x = 11
Hence, the value of x is 11.
Learn more about Isosceles Triangle:
https://brainly.com/question/2456591
#SPJ1
what is the y intercept of 2y - 2x = 8
Answer:
Step-by-step explanation:
Write in y = mx + b form
here, b ----> y intercept
2y - 2x = 8
2y = 2x + 8 {Divide the equation by 2}
[tex]\frac{2y}{2}=\frac{2x}{2}+\frac{8}{2}\\[/tex]
y = x + 4
y-intercept = 4
During one season with the Oakland Athletics, Sonny Gray
had a combined base on balls and strike out total of 226.
The number of strike outs were 50 less than 3 times the
number of base on balls. How many strike outs did Sonny
make that season?
Kiran has 2 & 3/4 pounds of flour. When he divides the flour into equal-sized bags, he fills 4 & 1/8 bags. How many pounds fit in each bag?
Answer:
The number of pounds that will fit in each bag is 2/3 pounds of flour
Step-by-step explanation:
Here, we want to know the amount of pounds that will fit in each bag
What we have to do here is to divide the total number of pounds of flour, by the number of bags filled
We have this as;
2 3/4 divided by 4 1/8
This is;
11/4 divided by 33/8
= 11/4 * 8/33 = 2/3 pounds
AAAAAAAAAAAAAAAAA HELP
Which is a set of collinear points?
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J
Answer:
Step-by-step explanation:
Abcd
geometry, can u help????
Find x of the angles are supplementary 3x-2 and 41 degrees ?
Answer:
x = 47
Step-by-step explanation:
3x - 2 + 41 = 180 {Supplementary}
3x + 39 = 180
3x = 180 - 39
3x = 141
x = 141/3
x = 47
Which expression is equivalent to 6(5x + 4) - 6x ?
a. 24x + 24
b. 48x
C. 30x + 24
d. 5x + 10
Answer:
a. 24x + 24
Step-by-step explanation:
Given
6(5x + 4) - 6x
= 30x + 24 - 6x
= 24x + 24
Hope it will help :)❤
In the number 15.42, how is the value of the digit "2" different from the value of the digit "2" in the number 12.54?
can someone help me with this please - can you also give a step by step not just an answer
Answer:
The way I was taught to do it is to change value into a total fraction, then multiple the numerators together, multiply the denominators together, and finally reduce as far as possible.
7/9 x 5 2/5 = 7/9 x 27/5 = 189/45 = 4 9/45 = 4 1/5
1 3/4 x 4 1/6 = 7/4 x 25/6 = 175/24 = 7 7/24
1. (10 points) Explain how to factor the following:
A: 3m2 + 4m +1 = 0
B: 16n- 25
C: 20n3 - 15n2 + 4n - 3
D: 864.3 + 4
Answer:
A. 3m² + 4m + 1 = 0
3m² + 3m + m + 1 = 0
3m (m + 1) + 1 (m + 1) = 0
( 3m + 1 ) (m + 1) = 0
B. 16n - 25
16n = 25
n = 25/16
I WOULD LIKE AN ACRUAL EXPLANATION, I NEED TO UNDERSTAND THIS, THANK YOU
csc^-1 4.25 to degrees
9514 1404 393
Answer:
13.609°
Step-by-step explanation:
The csc^-1 function is the arccosecant function. It gives the angle whose cosecant is given. If we let A represent that angle, your statement is ...
A = csc^-1(4.25)
It is used to solve the relation ...
4.25 = csc(A)
__
Some calculators can give you the value directly (see attached). Most cannot. In any event, you need to make sure the angle mode for the calculator is set to degrees.
When your calculator does not have the csc^-1 function, you can make use of the trig identity ...
csc(x) = 1/sin(x)
In the above equation, this becomes ...
4.25 = 1/sin(A)
sin(A) = 1/4.25 . . . . . solve for sin(A)
All scientific and graphing calculators will have the inverse sine (arcsine) function.
A = sin^-1(1/4.25)
A ≈ 13.609° . . . . . . . calculator mode in Degrees
_____
Additional comment
For inverse functions, especially inverse trig functions, I find it useful to read them as ...
csc^-1(x) ⇒ "the angle whose cosecant is x"
sin^-1(x) ⇒ "the angle whose sine is x"
This reminds me that the value it gives is an angle (degrees or radians), and the argument it takes is a pure number (one with no units).
Find the value of x that makes m ∥ n 2x x
Answer:
Step-by-step explanation:
m/n = 2x/2
but what is the equation u didnt mentiones though
Find the volume of the composite solid. Round your
answer to the nearest tenth.
8 cm
8 cm
8 cm
14
The volume is about
cubic centimeters.
Answer:
this image is unclear i cant answewr this
Step-by-step explanation:
Need help with this question
Answer:
C. x = 3
Step-by-step explanation:
8x - 8 = 2x + 10
get the x on it's own
8x - 8 + 8 = 8x
2x + 10 + 8 = 2x + 18
8x = 2x + 18
8x - 2x = 6x
2x + 18 - 2x = 18
6x = 18
now divide each side by 6
6x / 6 = x
18 / 6 = 3
x = 3
X=3
Explanation
8x-8=2x+10
6x=18
x=3
what is the linear equation of a line with a rate of change of -1/2 that passes through the point (0, 4)
Answer:
y = 9/2 (fraction)
Step-by-step explanation:
y = mx+c
m = slope
c =y -intercept
Therefore, the required equation is:
y = 2x + c
Putting the point (0,4) in it as it lies on a line, we get:
4 = -1/2 + c
Therefore:
c = 9/2
So, y = 9/2
Brainlist pls!
Is this line an accurate line estimate of
best fit for the data?
Yes
No
Answer:
no.........................
What is 50% of 98 pls
The answer is 49 :))
Use your scratch paper to draw a coordinate plane and plot the following data set: (4,3), (1,2), (9.1), (10,2), (9,10), (1,7),(5,0), and (6,1),
What type of association exists between the data points?
Answer:
3,)ft
Step-by-step explanationpads: 1 7(.9t
Which of the following could be classified as a census?
A.) a survey of a percentage of each state’s population about voting choices
B.) a survey of each student in a school about school lunch options
C.) a survey of all the children in a supermarket to determine the favorite cereal brands of the general population
D.) a survey of all the women on Main Street to determine the current movie preferences of all people over age 20
Answer:
the answer should be c..
Rodney is making three pizzas. The recipe says that, for one pizza, he needs 2 cups of flour, 2 teaspoons of instant active dry yeast, 2 cloves of garlic, 1 tablespoon of olive oil, and some other ingredients. Rodney is out of flour and goes to the store to buy a bag containing 20 cups of flour. How much flour will he have left over after making the pizzas?*
Answer:
+20+-+6+=+14+
He will have 14 cups leftover
Step-by-step explanation:
pls help i will give you like and brainliest if you are correct!!!
Answer:
+9.2=7.6x
x+9.2=38x
______
5
Solution
=1.393939393
Q4 - Exam prep: Missing values
Audrey measures all 7 pencils in her pencil case and writes the first 6 lengths down.
12.4 cm, 12.6 cm, 13 cm, 13.4 cm, 13.5 cm, 13.3 cm
Audrey calculates the mean length of all 7 pencils to be 13.1 cm.
Find the length of the missing pencil.
cm
[2]
Answer:
the missing pencil length is 13.5 cm
Step-by-step explanation:
The computation of the length of the missing pencil is shown below:
Let us assume the missing pencil be x
Now
(12.4 cm + 12.6 cm + 13 cm + 13.4 cm + 13.5 cm + 13.3 cm + x) ÷ 7 = 13.1 cm
(78.2 cm + x) ÷ 7 = 13.1 cm
78.2 cm + x = 91.7 m
So, x would be
= 91.7 cm - 78.2 cm
= 13.5 cm
hence, the missing pencil length is 13.5 cm
Rewrite the following expression using exponents
1/16
Answer:
6.25 * 10^-2
Step-by-step explanation:
hmmmmmmmmm
A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount? 0.30p 0.70p 1.30p 30p
Answer:
0.30p
Step-by-step explanation:
(px30)/100=0.3p
Answer:
0.70 p
Step-by-step explanation:
If the item is 30% off, the new price is 0.7p because we want to know how much 70% of the original price was.
if socks cost $8.97 for 3 pairs how much does one pair cost?
Answer:
7
Step-by-step explanation:
Answer:
$2.99
Step-by-step explanation:
$8.97/3 = 2.99
$8.97 divided by 3 equals $2.99
Good Luck!
(04.05)
Which of the following is true about a function that is constant? (4 points)
HELP PLEASE
Answer:
A. it is a horizontal line
Step-by-step explanation:
one hundred and sixty-two thousandths as a decimal
Answer:
0.0162
Step-by-step explanation:
Cause it is
Answer:
0.162
Step-by-step explanation:
one hundred and sixty-two thousandths
162/1000 = 0.162