Answer:
k = 8.4, j = 13.1
Step-by-step explanation:
Solve for k:
[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]
Solve for j:
[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]
Answer:
k = 10 tan (40) = 8.39 (to 2 decimals)
J = 10 / cos(40) = 13.05 (to 2 decimals)
Step-by-step explanation:
It is SOH CAH TOA, or
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
Using SOH CAH TOA,
tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)
cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)
someone help tysm will give brainliest !!
Answer:
11. A) x = 2 . B) x=-1 . C) x = 0
12. A) y = 20 . C) y = -3 . D) y = 0
Step-by-step explanation:
When the line is vertical, take the x coordinate
When the line is horizontal, take the y coordinate
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
find the inverse function
Answer
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
Step by step
[tex]y = \frac{2x}{5} + 2[/tex]
Swap roles of x and y
[tex]x = \frac{2}{5} y + 2[/tex]
Then
[tex]5x = 2y + 10[/tex]
So
[tex]2y = 5x - 10[/tex]
Hence
[tex]y = \frac{5}{2} x - 5[/tex]
Therefore
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
14. Evaluate the expression.
4!
24
28
20
Answer:
24.
Step-by-step explanation:
By definition, factorial 4
= 4!
= 4*3*2*1
= 24.
Evaluate expression- Which of these answer choices are correct answer to the question
Answer:
i=10^5
eq is 2^n*i
hence 2^3*10^5
8*100000
=800.000 bacteria
pls mark as brainliest
At 6 a.m., the temperature was –8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was –10°C. Which integer represents the temperature change between noon and 6 p.m.?
–24
–12
–8
–4
Answer:
-8
Step-by-step explanation:
so -8 + 6 = -2. and then for that to drop to -10, it would have to change -8 degrees
Answer:
Step-by-step explanation:
-8 is the answer
Help, please. I really need help one this
Answer:
2#) 20f+15-2f
18f+15
2#) choose 1
3#)60-3h-9
51-3h —> 3(17-h)
3#)choose 1
4#) 4(5x+3y)
20x+12y
4#)choose 4
5#) r+3r+ _=6r
6r-4r= 2r
5#)choose 4
Only point (1 ) I didn't know I'm sorry
Answer this wuestion for me man
Answer:
The length of ribbon is [tex]\sqrt{32}[/tex].
Step-by-step explanation:
Length of the side of square = 4 inches
let the length of the diagonal is x.
By use of Pythagorean theorem
[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]
You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.
Answer:
5 jump shots.
Step-by-step explanation:
Let l = number of layups and j = number of jump shots
l + 2j = 21
11 + 2j = 21
2j = 10
j = 5
5 jump shots are needed to win the game and not go over 21 points.
Where are the corresponding angles in the diagram below?
ANSWERS:
Answer #1: 1 and 5
Answer #2: 1 and 3
Answer #3: 2 and 4
Answer #4: 2 and 7
Answer:
the answer is #1
Step-by-step explanation:
Find the mid point of the line segment AB where A= (-5,5) and B= (-7,4)*
Check out the screenshot.
Andy £9500 Bevan £25000 Cheryl £13250 Deva £75000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
a. £25142.86
b. £16833.33
Step-by-step explanation:
According to the Question,
Given, The Salary Of 7 People in An Office are,
Andy ⇒ £9500
Bevan ⇒ £25000
Cheryl ⇒ £13250
Deva ⇒ £75000
Elliott ⇒ £12750
Frankie ⇒ £29500
Grace ⇒ £11000
a. The mean income = Total Sum of Salaries ÷ Number of Workers
Mean = (9500+25000+13250+75000+12750+29500+11000) ÷ 7
Mean = 176000 / 7 ⇒ £25142.86
b. Now, The Mean income After Excluding Deva's Salary is,
Mean = (9500+25000+13250+12750+29500+11000) ÷ 6
Mean = 101000 / 6 ⇒ £16833.33
The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?
Answer:
[tex]y = \frac{1}{2}x + 6[/tex]
Step-by-step explanation:
[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]
Step 1 : Find slope, m
[tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]
Step 2 : Find the equation
[tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.
(6, 9) is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).
The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.
Put all of this into y =mx +b, and you get y= 1/2x + 6.
If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use (6, 9).
9 = 1/2 (6) + 6
9 = 3 + 6
9 = 9. It works out, therefore the equation right.
Hope this helps
What's the inverse of f(x) = x-3/5
Answer:
y = x + 3/5
Step-by-step explanation:
1. Label this function 'y': y = x - 3/5
2. Interchange x and y: x = y - 3/5
3. Solve this for y: y = x + 3/5
This last result is the inverse of the given function.
Answer:
y = x + 3/5
Step-by-step explanation:
change f(x) to 'y'
y = x - 3/5
interchange 'x' with 'y'
x = y - 3/5
solve for y
y = x + 3/5
Please help will give branliest
Answer:
ok
8^7*512/262144=4096
8^4=4096
?=4
Your Welcome
BIFFY OUT!!!
Marcus wants to end the semester with at least an 85 test average in his math class. On his first 3 tests, he earned 83, 97, and 80. What will he have to earn on his fourth test to have at least an 85 average? Let g represent the grade needed on his fourth test. Write an inequality that models the situation.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
»»————- ★ ————-««
Here’s why:
The average is found by dividing the sum of the values by the number of values.⸻⸻⸻⸻
[tex]\frac{83+97+80+g}{4} \geq 85[/tex]
⸻⸻⸻⸻
The numerator would consist of the test grades and the unknown 'g' and the denominator would be the number of tests he taken.
"At least" indicates a greater than or equal to inequality.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE HELP ME 50 PTS and i'll give brainliest please help me this is the video they game me to do this hw but I still don't understand it https://youtu.be/7Uos1ED3KHI
1.) 70x/100x^2 = 7/10x
2.) 16x^3/24x = 2x^2/3
3.) 7x(2x+1)/21(2x+1) = x/3
4.) 35x - 35/x^2 - 1 = 35/x + 1
5.) x + 7/x^2 + 4x - 21 = 1/x - 3
6.) x^2 - 6x + 5 = x - 5/5
7.) x^2 - 36/x^2 - 3x - 18 = x + 6/x + 3
8.) x^2 - 3x - 10/x^2 + x - 2 = x - 5/x - 1
A cylinder has a radius of 6 and a height of 10 find the volume
Answer:
30cm
Step-by-step explanation:
Vn = Vc
1/3 X Pie x 6^2 x hn = Pie x 6^ x 10
hn = 30cm
Given: Radius=7cm,
Height=10cm
Volume of the cylinder=πr2h
=722×7×6×10=1540cm3
What I Can Do
Construet an appropriate graph for the Charity donations of each grade level in a high school:
Answer:
You should have a graph that has the words on the y axis Grade 7 Grade 8 Grade 9 and Grade 10 on each differnt line. Than put the number corosponding to the grade on each line, making the graph rise up and down.
Step-by-step explanation:
Can't make one.
what additional information is needed to prove the triangles congruent by AAS
Answer:
pq=su
Step-by-step explanation:
its the only one that makes sense
[NO LINKS]
This is Jovan’s solution for the equation x^2-8x-9=0:
x2 – 8x – 9 = 0
x2 – 8x = 9
x2 – 8x + 16 = 9 + 16
(x – 4)2 = 25
x – 4 = 25 and x – 4 = - 25
x = 29 and x = -21
Is Jovan’s solution correct?
Answer:
No, it's wrong
[tex] {x}^{2} - 8x - 9 = 0 \\ (x - 9)(x + 1) = 0 \\ x = 9 \: and \: - 1[/tex]
Answer:
NoStep-by-step explanation:
x² – 8x – 9 = 0 x² – 8x = 9 x² – 8x + 16 = 9 + 16 (x – 4)² = 25 x – 4 = 25 and x – 4 = - 25 ⇒ Incorrect, should be x - 4 = 5 and x - 4 = -5 x = 29 and x = -21 ⇒ Incorrect, should be x = 9 and x = -1simplify an expression
(x^2y^4z)^5/(xy)^2
A) y10z5
B) x6y7z5
C) x7y9z5
D) x8y18z5
Answer:
d
Step-by-step explanation:
D) Sum of the two adjacent angles is 140°. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks)
Answer:
FIRST ANGLE = 21 degree
SECOND ANGLE = 119 degree
Step-by-step explanation:
140 = 6x - 7 + x
140 = 7x - 7
combine like terms
140 + 7 = 7x
147 = 7x
x = 21
second angle = 6(21) - 7 = 119
Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?
Answer: [tex]4.016\ hr[/tex]
Step-by-step explanation:
Given
Train A has speed of [tex]v_a=75\ mph[/tex]
Train B has speed of [tex]v_b=50\ mph[/tex]
If Paris and Pisa is 500 miles apart
If they meet x hours after the start
The sum of the distances traveled by Train A and B is 500 miles
[tex]\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr[/tex]
So, after [tex]4.016\ hr[/tex] they will pass each other.
What's The actual length of UV (round to 3 decimal places) ?
Answer:
7.463 cm
Step-by-step explanation:
Use the pythagorean theorem (a^2 + b^2 = c^2) to find the side length of UV.
a^2 + b^2 = c^2
6.1^2 + 4.3^2 = 55.2
Then square root 55.2, which is 7.463 cm
A community is building a square park with sides that measure 110 meters. To separate the picnic area from the play area, the park is split by a diagonal line from the opposite corners Determine the approximate length of the diagonal line that splits the square.
Answer:
155.56 m
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√110² + 110²
Please help if you can!
Answer:
D: 78 ft2
Step-by-step explanation:
6x13=78
Answer:
Rectangle
Result
Area = l × w
= 13 × 6
= 78 feet2
Step-by-step explanation:
#Brainliestbunch
True or false question. In Standard form, the number 3.5 *10^4 is 3,500.
Answer: False
Step-by-step explanation:
10^4=10000. 10000*3,5=35000.
Answer:
No, you missed a zero.
Step-by-step explanation:
In the given case, as we have the number as
3.5 × 10^4, we need to move decimal digit to the right by three points. For this, let us write 3.5 as 3.50000 and moving decimal point four points to right means
35000.0
Hence in standard notation
3.5 × 10^4=35,000
help me pls pls pls pls pls pls
Find m 22 in the figure below.
95°
2
72°
Answer:
<2= 23°
Step-by-step explanation:
180°- 95°= 85°
(95° is on a straight line, angles on a straight line adds up to 180° so 95° is being subtracted from 180°. Therefore the next angle in the triangle will be 85°)
To find <2
180- (85°+ 72°)
(Angles on a triangle adds up to 180°)
180- 157
= 23
- Javid bought 3 pairs of Nike Jordan True Flight sneakers
for $127.59 each. He sold 2 pairs of the shoes at a 28%
markup and the third pair for a 52% increase. What did
he sell each pair of shoes for?
- Harris wanted to purchase a pair of Reebok Liquid Speed sneakers for
$190. The price of the sneakers decreased 10% in value each of the next 2 weeks. Harris said that the shoes were 20% less than their original value after 2
weeks. Is Harris correct?
Please help me with these two. I will mark you as brainly