Answers
Answer:
JK = 50; IJ = 25√3
Step-by-step explanation:
HAVE: sin ∠J = sin 30° = [tex]\frac{IK}{JK}[/tex]
=> [tex]\frac{IK}{JK}=\frac{25}{JK}=\frac{1}{2}=> JK = 25.2 = 50[/tex]
cos ∠J = cos 30° = [tex]\frac{IJ}{JK}[/tex]
=> [tex]\frac{IJ}{JK}=\frac{IJ}{50}=\frac{\sqrt{3} }{2} => IJ = \frac{\sqrt{3} }{2}.50=25\sqrt{3}[/tex]
Related Questions
2 points
2) Mark bought a new suit for $139. The sales tax was 8.5%. What is the
total cost of the suit?*
Answers
8.5% of 139 is $11.82 then u add that to 139
Beth describes her current location: "I'm directly south of the theater, halfway to the restaurant." Plot the point representing Beth's location.
Answers
Answer:
Plot it at (4,-0.5)
Step-by-step explanation:
Answer:
-4, -0.5
Step-by-step explanation:
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answers
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
Idk how to do this and I need it in an hour
Answers
Answer:
a) [tex]2x^2+8-5x+-3x^2-4+7x\\\\= -1x^2+2x+4[/tex]
b) [tex]2x^2+8-5x--3x^2-4+7x\\\\= 5x^2+2x+4[/tex]
7th grade math help me plzzzzz
Answers
A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answers
Answer:
hello
Step-by-step explanation:
give an example of a rational number
Answers
17
0.80
-22
Is none proportional it proportional
Answers
Answer:No it is not proportional
Step-by-step explanation:
The reason non proportional is not proportional is bc it's not proportional.
Answer:
It's not proportional
Step-by-step explanation:
I can tell you that if you have, for example, 2 spring rolls and they are eaten by 4 people, then 1 spring roll is eaten by 2 people. That is proportional, becuase the amount of people is always dependened of the amount of spring rolls. But here, for 1 hour here, you get paid 52 dollars. If it was proportional, for 2 hours you'd be paid 104 dollars.
At the beginning of the business day a bank vault had $575,900. By the end of the day, $ (3.5 x 10^3) have been added to the vault how much money did the banks fault told at the end of the business day write your answer in standard form.
Answers
9514 1404 393
Answer:
$579,400
Step-by-step explanation:
The total will be ...
$575,900 +3.5×10³ = $575,900 +3,500 = $579,400
At the end of the day, the vault held $579,400.
help I want to get sleep
Answers
Answer:
I got -45.1 but idek if its right or not
Answer:
-45.1
Step-by-step explanation:
-6*7.1 + 2.5
-42.6 + 2.5
= -45.1
PLEASE ANSWER AS SOON AS POSSIBLE!
Answers
To find the slope, use the formula: rise over run —> y2 - y1/x2 - x1
Choose any two coordinates and plug them in. Then simplify. Let me know if you have any questions by commenting:)
Hope I helped:)
Hi guys can you please help me with this problem please ill mark brainiest
Answers
The answer is y= 23/4
which equation represents a line which is perpendicular to the line y=4/3x - 7?
a. 3x + 4y = 8
b.4x + 3y = -6
c. 4x - 3y = 24
d. 4y - 3x = 12
Answers
7. Find the slope of the line.
Answers
1/5
Explanation:
For every two minutes, 10 items get sold. 2/10 is equivalent to 1/5
Answer:
5
Step-by-step explanation:
take 2 points on the graph, for example (4,20) and (2,10) use y2-y1/x2-x1 to solve ,plug in the values 20-10/4-2= 10/2 = 5
A line with a positive slope is parallel to one of the lines shown. What is its slope? Use the graph shown below.
Answers
Answer:
2/5
Step-by-step explanation:
first select the line that is positive which is the purple one
slope = change in y / change in x
two clear points are (0,2) and (5,4)
so you do y2-y1 / x2-x1
=(4-2)/(5-0)
=2/5
so the slope is 2/5
Identify the property on this equation 5(a + 3b) = 5a + 15b
Answers
Answer:
??????????????????????
Step-by-step explanation:
Answer: Distributive Property
The term "distribution" is also used in place of "distributive"
This property says
x*(y+z) = x*y + x*z
We multiply the outer term x with each inner term (y and z). Then we add the results.
In this case,
x = 5
y = a
z = 3b
So,
5(a+3b) = 5*a + 5*3b = 5a+15b
Which of the following is not a function
B is not right
Answers
Answer:
The first one
Step-by-step explanation:
They have 2 outputs for the same input
A function cannot have the more than one of the same x-values (x= 2 y=4, x=2 y=5), but you can have more than one of the same y-value as long as it’s a diff x-value (x=2 y=5, x=3 y=5)
I need help please!!
Answers
Answer:
1
Step-by-step explanation:
The line goes through the point 1, so that will be the slope.
If a ∥ b and e ∥ f, what is the value of y?
87
88
91
92
Answers
Answer:
88 i believe
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
On multiple-Choice history Test, rita received a mark of 80%. She answer 32 correctly
Answers
Let total number of questions be x.
According to the question,
80% of x is 32
or 80/100 × x = 32
or x = 32 ÷ 80/100
or x = 32 × 100/80
or x = 32 × 10/8
or x = 4 × 10
or x = 40
So, total number of questions is 40.
Karen buys apples and bananas for the daycare center she runs. The apples cost $1.50 per pound, and the bananas are $0.50 per pound. The table shows the amounts of apples and bananas she has purchased the previous six weeks. Apples, x (pounds) 5 10 7 3 9 12 Bananas, y (pounds) 5 5 12 14 9 2 This week, Karen will spend $20.50 on apples and bananas. Write an inequality that describes both the amounts of apples and bananas she has purchased in the past six weeks and the amounts she may buy this week. Enter the correct answer in the box. Write your answer in the form ax + by = c, using the appropriate inequality symbol in place of the equal sign.
Answers
Answer:
Step-by-step explanation:
Please HURRY I need to get this turned in.....
7. Of the three explanations below, which person gives the best explanation of why the LSRL is the best line of best fit?
Explain your choice.
Thomas: The LSRL is the best line of
best fit because it touches the most
points on a scatterplot when graphed.
Keene: The LSRL is the best line of best fit
because it has the smallest value for all the
squared residuals added together.
Ella: The LSRL is the best line of best fit because the sum of the residuals is closest to zero when they are all
added together.
Answers
Answer:
Ella
Step-by-step explanation:
IT goes more into detail on why the LSRL is best line of fit
$1000 is invested in an account at interest rate r=0.045, compounded continuously. Find the time required for the amount to double
Answers
Answer:
The formula you'll need is:
Years = ln (total / principal) / rate
ln means natural log
Years = ln (2,000 / 1,000) / .045
Years = ln (2) / .045
Years = 0.69314718056 / .045
Years = 15.4033
Step-by-step explanation:
Need help ASAP please give answer in cm squared
Answers
Answer:
17×15=255
Step-by-step explanation:
you do base times height
A number t increased by seventy
Answers
Answer: t + 70
Step-by-step explanation: increased means to add, so it would be adding 70 to a number, t.
Pls help me
Question 10 (1 point)
Which of the following measurements, could be the side lengths of a right triangle?
a
8 inches, 10 inches, and 12 inches
9 inches, 12 inches, and 15 inches
b
с
10 inches, 5 inches, 11 inches
d
6 inches, 12 inches, 14 inches
Submit
Answers
Answer:
9in 12in 15in
Step-by-step explanation:
What is the 50th term of the arithmetic sequence 7, 10, 13, ...?
show complete working format please
Answers
Answer:
154
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 10 - 7 = 3 , thus
a₅₀ = 7 + (49 × 3) = 7 + 147 = 154
Transformation!! Please only help if you have the answer!!
Answers
Answer:
the answer for this one is A
Step-by-step explanation:
mostly because for this you're only looking for H and not the rest of them so if you reflect is itll be in the same spot just on the opposite side
10t-19=7t-14
what does t=
Answers
+19. +19
10t=7t+5
-7. -7
3t=5
—.—-
3. 3
t= 1.6, or rounded 2
Answer:
t = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
10t - 19 = 7t - 14
Subtract 7t from both sides;
3t - 19 = -14
Add 19 to both sides;
3t = 5
Divide both sides by 3;
t = [tex]\frac{5}{3}[/tex]
Common Factors for
21 and 63
Answers
Answer:
I think it is this but I haven't done factors in a long time
for 21:
1, 3, 7 and 21
for 63
(1, 63), (3, 21) and (7, 9).
hope this helps!