Here's the solution,
By using Trigonometry :
=》
[tex] \sin(30) = \dfrac{7}{x} [/tex]
=》
[tex] \dfrac{1}{2} = \dfrac{7}{x} [/tex]
=》
[tex]x = 14[/tex]
hence, the value of x = 14 units
Answer:
14
Step-by-step explanation:
It takes 24 hours to drive from town A to town B. At an average speed of 31 mph, how far is it?
Answer:
744 miles
Step-by-step explanation:
each hour is 31 miles
the drive is 24 hours
31*24=744
Answer:
744 miles
Step-by-step explanation:
Lila plans to open an account with a deposit of $12,000. She plans to invest the money for 8 years in one of the following accounts:
An account that pays an annual simple interest of 7.5%, or
An account that pays 6% interest compounded annually.
If Lila invests in the account that will earn her more interest over these 8 years, how much interest will she earn?
9514 1404 393
Answer:
$7200
Step-by-step explanation:
The amount of simple interest can be found from ...
I = Prt . . . . . . . where principal P is invested at annual rate r for t years
__
The amount of compound interest can be found from ...
I = P((1 +r)^t -1) . . . . . same variable definitions
__
The amount of simple interest earned is ...
I = 12000·0.075·8 = 7200
The amount of compound interest earned is ...
I = 12000(1.06^8 -1) ≈ 7126.18
In this scenario, the simple interest account earns more interest. If Lila chooses that one, the amount of interest earned is $7200.
Which ordered pair
describes a point
with location in the
second quadrant?
A. (-6, -5)
B. (-6, 5)
C. (6, 5)
D. (6, -5)
Answer:
B) (-6,5)
Step-by-step explanation:
Quadrant I: (+,+)
Quadrant II: (-,+)
Quadrant III: (-,-)
Quadrant IV: (+,-)
What is 1/3 of $4.89 dollars
Answer:
im pretty sure its 1.63
Step-by-step explanation:
lmk if im wrong
Taylor has a set of 13 cards, labeled 1 through 13. If she chooses a card at random, what is the probability that the number on it is a prime number?
Answer:
B. 6/13
Step-by-step explanation:
No of sample space, n(s) = 13
Prime numbers
= ( 2 , 3 , 5 , 7 , 11, 13 )
No of favourable cases, n (e) = 6
Now
Probability that the number on it is a prime number is
P(E) = n(e) / n(s)
= 6/13
Hope it will help :)❤
6 = k over 9
k equals?
Answer:
k = 54
Step-by-step explanation:
6 = [tex]\frac{k}{9}[/tex]
multiply both sides by 9 to isolate k
=> k = 54
Answer:
k = 54
Step-by-step explanation:
[tex]6 = \frac{k}{9}[/tex]
Multiply both sides by 9:
9(6) = k
k = 54
The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.
Solve
FIND THE SIMPLE INTEREST WHEN PRINCIPAL= $300, rate = 8%
Time= 4 years
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
X
X
X
X
Answer:
I = p× r× t
300×8×4
pinicipal × rate × time
That is the formula
the answer is 300×8×4= 9600
This composite figure is made up of three simpler shapes. What is the area of
the figure?
7 cm
4 cm
5 cm
4 CE
8 cm
A. 66 square cm
R 50 square cm
C. 46 square cm
D. 80 square cm
Answer:
A. 66 square cm
Step-by-step explanation:
HOPE IT HELPSS! :D
How many different amounts of nuggets can you find that can be ordered by combining 6, 9, and 20?
- Plot- Something interesting happens. After 43 nuggets, it is possible to fill any order request exactly. The number 43 is the largest number of nuggets it is not possible to make using packs of six, nine and twenty.
"Branliest will be appreciated"
A magazine subscription runs several promotions. Customers can choose from the following deals:
Option A: 15% off an annual subscription of $86
Option B: pay $6.50 per month
How much will a customer save by purchasing the annual subscription overpaying per month?
The table shows the ages of Mark's family members.
Name
Age (years)
381
Phil
Tammy
32
4
Liam
?
Chris
91
4
Andi
4
2
The combined age of all five family members is 95 years. What is Liam's age?
A. 10
years
B.
12 years
o c. 141
years
OD. 15 years
Answer:
b
Step-by-step explanation:
it's b if I am wrong I am sorry
In sixteen years Paul will be 48 years old.
How old is he now?
Answer:
32 years old
Step-by-step explanation:
48-16=32
Answer:
Paul is 32 years old
Step-by-step explanation:
48 - 16 = 32
Find the volume of the object
Answer:
v=(6*9*12)
Step-by-step explanation:
Answer:
[tex]volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} [/tex]
Matthew bought 3 pounds of cheese. He sliced the cheese into 8 equal sized pieces. How much does each piece of cheese weigh A. 6 oz B 12 oz C. 24 oz D. 48 oz
Answer:
6
Step-by-step explanation:
There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes
48/8=6
if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then find lim (fg)(x)
a.1
b.0
c.3
d.does not exist
Answer:
0
Step-by-step explanation:
Assuming the problem is:
"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"
lim x->4 (fg)(x)
Since we know the limits of f and g at x=4 exist we can write the limit as:
lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)
5(0)
0
if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0
What is inequality?inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Assuming the problem is:
"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"
lim x->4 (fg)(x)
Since we know the limits of f and g at x=4 exist we can write the limit as:
lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)
=5(0)
=0
Hence the lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are 6 questions, every single question is multiple choice question. Assume that each question has five options (a, b, c, d, and e), the student selects the answer randomly. Also assume that whether one question is answered correctly is independent of whether or not another question is answered correctly.
Required:
For a single question, what it the probability (p) that the student answers correctly?
Answer:
P=20%
Step-by-step explanation:
Let's suppose that each question in the test has one and only one correct answer. This means we have 1 desired outcome out of the total 5 desired outcomes. Therefore:
Probability=#of desired outcomes / #of possible outcomes
or
[tex]P=\frac{1 correct}{5 opctions}[/tex]
[tex]P=\frac{1}{5}[/tex]
P=0.20
P=20%
I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. The zeros of a function H are -2,3 and -4 which of the following could be h(x)
Answer:
a
Step-by-step explanation:
kkkkkkkkkkkkkkkkkkkkkkk
Answer:
a. h(x)=(x+2) (x-3) (x+4)
Step-by-step explanation:
The zeros of the function are -2, 3 and -4:
(x=-2) (x=3) (x=-4)
(x+2) (x-3) (x+4)
What is the radius of the following Circle?
7 in
O
9 in
14 in
28 in
3.5 In
Hello!
This is strange. It seems to give you the answer.
I am assuming your teacher would just like you to identify what a radius is.
All the same, I'll let you know the equation for finding a radius.
r= d × 2 (D is equal to diameter, and r to radius)
If you were given the diameter,, you would simply multiply it by 2 to get your radius.
The correct answer to your question is:
7 inches.
waffletowne
Please help fast !!!!
2. 1/3
3.
a) 40
b)30 or 40
c) 110
Answer:
2. [tex]\frac{1}{3} = 33%[/tex]
3. A. [tex]\frac{1}{4} = 25[/tex]
B. [tex]\frac{1}{2} = 50[/tex]
C. [tex]\frac{4}{5} = 80[/tex]
Step-by-step explanation:
Hope this helps
Question 20
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children
must be 1:8
Penny has 56 children at the nursery.
(a) Work out the number of adults Penny needs for 56 children.
Answer: 7
Step-by-step explanation:
We know that the ratio adults: children must be 1:8.
So if there are 58 children the ration is x: 56
56/8 (to find the number of adults) = 7
7:56 = 1:8
Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help?
Answer:
9=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x²-9x+7=0
2x²-9x=-7
x²-9/2 x +(-9/4)²=-7+(-9/4)²
(x-9/4)²=-7+81/16=(-112+81)/16=-31/16
(x+(-9/4))²=-31/16
At the zoo, the length of each iguana is measured. Which statement is best supported by the information below?
A. Over half of the iguanas measure 14 centimeters or more in length.
B. 25% of the iguanas measure 12 centimeters in length.
C. The number of iguanas that measure 15 centimeters or more is equal to the number that measure 11 centimeters or less.
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 timesAnswer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
In the diagram below of triangle HJKHJK, LL is a midpoint of \overline{HJ}HJ and MM is a midpoint of \overline{JK}JK. If LM=71-9xLM=71−9x, and HK=23-xHK=23−x, what is the measure of LMLM?
Answer:
Step-by-step explanation:
Since J is the midpoint of HK, then HJ=JK and 3x+5=9x-3 solve for x
6x=8 x=8/6=4/3 so HJ=3x+5=3(4/3)+5=9 = JK HK=2(9)=18
the full segment HK is 18, each half of it is 9 =HJ=JK
7000 litres of water is pumped out of a tank in 42 minutes. How many litres could be pumped out in one hour at the same rate?
Answer:
8600 litre×235 will be there in the tanks
1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a
I need the answer I just need DONT scam with a link
Answer:
==> C. , = 12x + 16x and 4(3x + 4x)
hope it helps
10) What is the absolute value of 27? *
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
X+4y=8 and 3x+4y=0 find the slope-intercept form
Answer:
Step-by-step explanation:
Slope intercept form: y =mx + c
1) x + 4y = 8
4y = -x + 8
Divide the equation by 4
[tex]\frac{4y}{4}=\frac{-x}{4}+\frac{8}{4}\\\\y = \frac{-1}{4}x + 2[/tex]
Here, m = -1/4 and y-intercept = 2
2) 3x + 4y = 0
4y = -3x
Divide the equation by 4
y = [tex]\frac{-3}{4}x[/tex]
Help ASAP pleaseeee. I will give brainliest!!
Make a list of all the possible outcomes of a three‐color spinner that is spun four times in a row.
There is 81 possible outcomes