Answer:
[tex]h= 1500\,*\,sin(43^o)[/tex]
Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:
[tex]sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)[/tex]
please help with maths work
Given:
In a right angle triangle ABC, [tex]\angle B=90^\circ,x=8.7\ m[/tex], and [tex]\theta = 45^\circ[/tex]
To find:
The value of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos \theta =\dfrac{BC}{AC}[/tex]
[tex]\cos (45^\circ) =\dfrac{8.7}{AC}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{8.7}{AC}[/tex]
On cross multiplication, we get
[tex]AC=8.7\times \sqrt{2}[/tex]
[tex]AC=12.30365799[/tex]
[tex]AC\approx 12.304[/tex]
Therefore, the measure of AC is 12.304 m.
Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no
less than $1 combined. At least 2 of the coins are nickels and at least 9 of the
coins are dimes. Solve this system of inequalities graphically and determine
one possible solution.
9514 1404 393
Answer:
2 nickels, 9 dimes
Step-by-step explanation:
When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the unshaded area the solution space. Here, the vertices of the triangular solution space are ...
(2, 9), (2, 13), (6, 9)
Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.
__
Three solutions are shown:
(x, y) = (2, 9), (3, 10), (4, 11)
>
<
=
pls help i beg u
Answer:
its less than <
Step-by-step explanation:
........
Answer:
>
Step-by-step explanation:
[tex]12 \times 1 \frac{2}{5} = 12 \times \frac{7}{5} = \frac{60}{5} \times \frac{7}{5} = \frac{420}{25} = 16 \frac{20}{25} [/tex]
Are these triangles congruent by ASA (Angle-Side-Angle)? *
yes
or
No
Answer:
Yes, they just flipped the second one around.
Step-by-step explanation:
what is the distance between (0.-3) and (9.6)
Answer:
d = 12.7 when rounded to the nearest tenths
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (0, -3) and (9, 6)
d=√((9-0)²+(6-(-3))²)
d=√((9))²+(6+3))²)
d=√(81 + (9)²)
d = √162
d = 12.727...
d = 12.7 when rounded to the nearest tenths
Helpppppp PLEASEEEEEEEEE MATH SUCKS AND I NEED YOUR BRAIN FOR HELP
pls number them by
6.
7.
8.
9.
:)
Answer:
Question 6: 3
Question 7: $1750
Question 8: 45 minutes
Question 9: $48
Step-by-step explanation:
what's the value of y ?
[tex]y = ( { - 2 })^{2} [/tex]
8(5g+5−2) Distributive Property to simplify the expression.
Answer:
= 40g -24
Step-by-step explanation:
you would multiply everything in the bracket by 8 to expand this
e.g.
(8x5g )+ (8x5 )+ (8 x -2)
= 40g + 40 - 16
now simplify by subtracting the like terms
= 40g -24
Joseph plots the speed of his car and time on a scatter plot. The equation for the line of best fit on his scatter plot is y = -15x + 60, where x is the time in hours and y is the speed in miles/hour. Which statement describes the situation correctly?
A.
The initial speed is 60 miles/hour, and his speed decreases by 15 miles/hour every hour.
B.
The initial speed is 60 miles/hour, and his speed increases by 15 miles/hour every hour.
C.
The initial speed is 0 miles/hour, and his speed increases by 15 miles/hour every hour.
D.
The initial speed is 5 miles/hour, and his speed increases by 30 miles/hour every hour.
Answer:
A
Step-by-step explanation:
His speed change is the slope or -15, decreases by 15 miles/hour
when he starts, his speed is 0*-15+60 = 60 miles/hour
Answer:
a
Step-by-step explanation:
Ulet rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 7.
Answer:
7/ 36
Step-by-step explanation:
Roll of 2 fair six sided die :
Sample space = 6² = 36
Sum of 7:
(1,6) ; (6,1) ; (3,4) ; (4,3) ; (2,5) ; (5,2) = 6
Probability = required outcome / Total possible outcomes
Required outcome = 7
Total possible outcomes = 36
P(obtaining a sum of 7) = 7 / 36
The graph of the equation y = - 3/4X - 3 has what slope?
Answer: 3/4x
Step-by-step explanation:
y = mx + b
m = slope b = y - intercept
y= 3/4x -3
A circle has a radius of 9 cm.
Work out the area of the circle.
Give your answer in terms of pi.
Radius = 9cm
So,
Area of circle = πr²
= π(9)²
= π × 81 cm²
= 81π cm²
Answer:
254.469 cm
Step-by-step explanation:
area = πr^2
π × 81 = 254.469005 rounded to 254.469 cm
in other terms, 81π cm^2
1. ) Explain the error in this simplification
2.) Show your work as you correct the error
Answer:
Given equation:
1 - 2/(x - 2) = (x + 1)/(x + 2)Correct solution:
(x - 2 - 2)/(x - 2) = (x + 1)/(x + 2) complete the fraction on the left(x - 4)(x + 2) = (x + 1)(x - 2) cross-multiplyx² + 2x - 4x - 8 = x² - 2x + x - 2 open parenthesis-2x - 8 = -x - 2 simplify-x = 6x = -6Errors
Step 1. not counting 1 as part of equation. It wasn't included into fraction.Step 1. not multiplying (x - 2) by 1.Step 4. - x + 2x = -2x is incorrect, it should be xA line includes the points (2, 10) and (1, 0). What is its equation in slope-intercept form?
Answer:
y=10x-10
Hope this helped <3
A rectangular playground has a width of 54 feet and a length of 81 feet. Martina makes a scale model of the playground using a scale of 1 in:3 ft.
What are the dimensions of Martina’s scale model?
Answer:
72 and 108
Step-by-step explanation:
540/30= 18 *4 = 72
and
810/30= 27*4=108
Solve for X. Please help ASAP! I have no idea how to do this and it’s due really soon!
Answer:
2
Step-by-step explanation:
5x+6=7x-2
5x+4=7x
4=2x
4/2
2
Is 5 a solution to -2 - x -15 = 27? Why or why not?
what does p equal please help me.
Answer: p < -3/5
Step-by-step explanation:
2p - 4 < -3p - 7
+3p +3p
------------------------
5p - 4 < -7
+4 +4
------------------------
5p < -3 (divide by 5)
p < -3/5
help plssssssssssssssss
one question
11. Carlos put $100 in a savings account at the beginning of the year. At the end of each month, he added $15 to the account. Ana put $400 in her savings account at the beginning of the year. At the end of each month, she took $35 out of her account. Let x represent the number of months which have passed and y represent the amount in each savings account.
a. Write an equation to represent the amount in Carlos' savings account.
b. Write an equation to represent the amount in Ana's savings account.
c. Copy and complete the input-output tables through 8 months.s
d. When will Carlos and Ana have the same amount in their savings accounts? How much will they each have at this time?
Answer:
Step-by-step explanation:
8
I'll give brainlist to the person that answers
Answer:
67.6
Step-by-step explanation:
area = 158/360 * 49 * pi = 67.56
Ron is making a triangular frame for a garden using three lengths of wood. He has three pieces of wood that measure 3 feet, 8 feet, and 4 feet in length. Ron claims that he can make a triangular frame with these three pieces of wood. Do you agree with Ron? Explain your reasoning.
Answer:
Step-by-step explanation:
A side of the triangle must be shorter than the sum of the remaining two sides.
He cannot make a triangle with 3, 4, and 8.
HELPPPPPP!!!!! ASAPPPPPPP!!!!!!!!
Which of the following expressions is correctly written in scientific notation?
Answer:
The third one
Step-by-step explanation:
HURRY PLEASEEEEE I RLLY NEED THISSS
Answer:
Option 2
Step-by-step explanation:
Given function:
x=8 and y=6x=5 and y=20Option 1: ×
Table one: y=8-6
if y is 6 then 8-6 can’t be 6 it is 2.
Option 2: √
Table one:
y=8-2
y would be 6 then this would be correct..
Table two:
y=4x
if y=20 then x would be 5 and if y is 16 then x=4.
Option 3:×
y=4x
this is wrong since table 2 is y=4x..
Option 4:×
Table one
y=x-4
if y is 6 and x is 8 then this is wrong..
Therefore, option 2 is correct..
Write in point-slope form an equation of the line that passes through the point (9, 8) with slope -6 .
Answer:
y= -6x+62
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-6(x-9)
y-8=-6x+54
+8 +8
y= -6x+62
There are 7 students in cara art club . They need to share 2 rolls of clay equally . Cara wants to know how much clay she will get?
Answer:
2/7
Step-by-step explanation:
6x + 8y + 6 ; x = 2 , y = 6
Answer:
66
Step-by-step explanation:
6x + 8y + 6
x=2
y=6
Replace the letters with the numbers:
6(2) + 8(6) +6
= 12 +48 + 6
= 66
On a horizontal number line, –43 is located to the left of –35.
Enter an inequality that represents this statement.
Answer:
-43 <-35
Step-by-step explanation:
hope it helps.................
Please help its due in a hour
Answer:
good luck
Step-by-step explanation:
will mark brainliest and rate 5/5
Answer:
its c
Step-by-step explanation:
because i multuply
Answer:
320 cubic centimeters
Step-by-step explanation:
Multiply.
--
20 x 4 x 4 = 320
--
Finding Volume
Length x Width x Height = Volume
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