Answers
Answer:
Cosine rule formula
[tex]a^{2} = b^{2} + c^{2} - 2bc \times \cos( a) [/tex]
*the small a in cos represents the angle
Conditions
You can only do Cosine rule if the angle is in between the 2 lengths
a^2=22^2+27^2-2(22)(27)×cos(105)
a^2=1520.477026 * so sqaure root to find a
a=38.99329462 *to 2 d.p.
a=38.99ft
Related Questions
Need help on these two please
Answers
Answer:
Given below.Step-by-step explanation:
Q.1.
[tex]ln\left(4\right)+\:ln\left(x\right)=ln\left(24\right)[/tex]
apply ln rules:
[tex]ln( 4 * x) = ln (24)[/tex]
cancel ln from both sides:
[tex]4x = 24[/tex]
divide both sides by 4:
[tex]x = 6[/tex]
Q.2.
[tex]2ln\left(x\right)=ln\left(4\right)+ln\left(9\right)[/tex]
apply ln rules:
[tex]ln\left(x^2\right)=ln\left(4*9\right)[/tex]
cancel ln from both sides:
[tex]x^2 = 36[/tex]
[tex]x = \pm6[/tex]
as ln cannot be negative:
[tex]x = 6[/tex]
If (2^a)=(3^b), what is the ratio of a to b?
Please use logarithms in the solution and explain.
Answers
Answer:
Step-by-step explanation:
Taking the log of both sides, we get:
a log 2 = b log 3
b log 3
Dividing both sides by log 2 yields a = ------------------
log 2
Finally, dividing both sides by b yields the desired ratio, a/b:
a log 3
---- = --------------
b log 2
Which of the following is not a right triangle?
a
30, 40, 50
b
9, 40, 41
c
24, 32, 40
d
40, 76, 86
Answers
Answer:
D) 40, 76, 86
Step-by-step explanation:
..........
What is the area of a circle with a diameter of 36 millimeters
Answers
Answer:A≈1017.88
Step-by-step explanation:
Answer:
A = 1017.88
Step-by-step explanation:
srry if its wrong ;-;
lots of points for correct answer!
Gina plotted the points (-3, 4), (4, 4), (-3, -2), and (4, -2) on the coordinate plane.
Determine the height of the quadrilateral. -
Determine the length of the quadrilateral. -
What shape do the points form?
What is the area of the quadrilateral?
What is the perimeter of the quadrilateral?
Answers
Answer:
height: 6 unitslength: 7 unitsshape: rectanglearea 42 square unitsperimeter: 26 unitsStep-by-step explanation:
Height
The height of it is the distance between the bottom and the top. You can count grid squares (6), or you can subtract y-coordinates:
4 -(-2) = 4 +2 = 6
The height of the figure is 6 units.
__
Length
The length is the difference between the left side and the right side. Once again, you can count grid squares (7), or you can subtract x-coordinates:
4 -(-3) = 4 +3 = 7
The length of the figure is 7 units.
__
Shape
The two upper points are on the same horizontal line, as are the two lower points. The two left-side points are on the same vertical line, as are the two right-side points. Vertical and horizontal lines are at right angles, so all of the corner angles are 90°. The quadrilateral is a rectangle.
__
Area
The area of the quadrilateral is the product of its length and height:
A = LH
A = (7 units)(6 units) = 42 units²
The area is 42 square units.
__
Perimeter
The perimeter is the sum of the lengths of the four sides. There are to sides that are 6 units long, and 2 sides that are 7 units long.
P = 2(6 +7) = 26
The perimeter is 26 units.
standard from 4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
Answers
[tex]{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}[/tex]
4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)
[tex]x(4x {}^{99} + 7x {}^{9} + \frac{6637}{1000} [/tex]
Jane has $1 and 6 quarters in her pile. Jeremiah has 10 quarters in his pile. If Jane gives
Jeremiah $1 and Jeremiah gives Jane 4 quarters, will the two piles still be equal in value? Explain
Answers
Amelia had 26 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
A. 26 + S + 10
B. 26 - 10 - S
C. 26 + S - 10
D. 26 + 10 - S
Answers
Answer:
26+10-S
Step-by-step explanation:
Answer:
26+10-S or 36-S
Step-by-step explanation:
She has 26 shells and collected 10 more
26+10
And the she gave her sister S shells
26+10-S or 36-S
Use the fact that the quantity of a radioactive substance after t years is given by
q = q0(2−t/k),
where q0 is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay).
The half-life of strontium-90 is 25 years. Find the amount of strontium-90 remaining after 20 years if
q0 = 87 kg.
(Round your answer to the nearest kg.)
Answers
Answer:
50 kg
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
q = q0(2^(-t/k))
q = (87 kg)(2^(-20/25)) = (87 kg)(0.574349)
q ≈ 50 kg
The amount remaining after 20 years is about 50 kg.
i really need help please
Answers
The answer is the third option
please help with step by step.
Answers
Answer:
60 ÷ 15
= 4 mins
the constant of proportionality for the number of 4 minutes to read 1 page.
Several students named their favorite flavor gum. Write the ratio that compares the
number who chose fruit to the total number of students. Write in all 3 ways.
Answers
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
=.
10
10
15. 7
14. 11
Question is on the photo
Answers
Answer:
12 cm, 7 cm, 5 cm will not make a triangle
Step-by-step explanation:
The Triangle Length Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. 7 + 5 = 12 which isn't greater than 12.
Find the area of the shaded region.
Answers
Answer:
56
Step-by-step explanation:
8 x 8 = 64
4 x 4 = 16
16/2 = 8
64-8 =56
if you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make ..... grams of ....% sugar syrup.
Answers
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make equation to find percent
16/40=x/100
x=40
If you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make 40 grams of 40% sugar syrup.
plsss help!!!!! Mhanifa
Answers
Answer:
See belowStep-by-step explanation:
Total number of ornaments:
24 + 12 + 8 + 19 = 63a)
P(gold) = gold / total = 12/63 = 4/21b)
P(silver) = silver/total = 24/63 = 8/21c)
P(gold or silver) = (12 + 24)/63 = 36/63 = 4/7Answer:
8)
total ornament: 24 + 12 + 8 + 19 = 63
a. probability its a gold ornament: [tex]\frac{12}{63}[/tex] → [tex]\frac{4}{21}[/tex]
b. probability its a silver ornament: [tex]\frac{24}{63}[/tex] → [tex]\frac{8}{21}[/tex]
c. probability she will get gold or silver ornament: [tex]\frac{24}{63}[/tex] + [tex]\frac{12}{63}[/tex] = [tex]\frac{4}{7}[/tex]
35% of what number is 105?
Answers
Answer:
35 percent of 105 is 36.75 .
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500.9, with a standard deviation of 10.6.
Find the median of the MCAT scores.
Give your answer to three decimal places.
Answers
Using the normal distribution, it is found that the median of the MCAT scores was of 500.9.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The median is also the 50th percentile, hence, in the normal distribution, it is equals to the mean.In this problem, the mean score was 500.9, hence the median score was also of 500.9.
You can learn more about the normal distribution at https://brainly.com/question/24663213
MULTIPLE CHOICE QUESTION
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
(5x-y=74
x + 4y = 14
2x=y=5
7x+2y=-10
Which of the following will be the new
equation when the top equation
is multiplied by 4?
5x-4y=7
20x-4y=7
20x-4y=28
5x-y=28
Answers
Answer:
It will be: ( 5x - y =7 )4
20x - 4y = 28
Option (C)
Billy has a credit card with a current balance of $3,500 and a 16% APR. With his current monthly payment, he will be able to pay off this debt in 15 months. But Billy just learned that he is getting a raise at work. If he puts all of the extra income from his raise into his monthly credit card payment, how much additional monthly income would he require from his raise to pay off the credit card in 12 months?
Answers
Answer:
It's A :)
Step-by-step explanation:
ur welcome
Answer:
✅ A. $58.57i took the test⬇️
Add the decimals.
3.0001 +72
=
Answers
Answer:
75.0001
Step-by-step explanation:
Used a calculator
The area of a rectangle is 576 cm² and it's breadth is one-fourth of its length.Find the length and breadth of the rectangle.
Answers
Answer:
Hope this helps you.......
Step-by-step explanation:
[tex] \boxed{\blue{\frak{DisneyPrincess29}}}[/tex]
Answer:
breadth = 12 cm and Length is 48 cm
Explanation:
Let the length be x,
then the breadth will be [tex]\frac{1}{4}[/tex]x
Formula for area of rectangle:
length * breadth
using the formula:
x * [tex]\frac{1}{4} x[/tex] = 576
x² = 4(576)
x² = 2304
x = √2304
x = 48
Therefore the Length is 48 cm
Then the breadth [tex]\frac{1}{4}[/tex] * 48 = 12 cm
Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context. And what's Hayden's Score?
Answers
z-scores are used to describe normal distributions
The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
How to interpret the z-scoresThe z-score is given as:
z = 2.5
The mean and the standard deviation are:
Mean = 550
Standard deviation = 100
A z-score is the number of standard deviations above or below the mean.
Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550
Read more about z scores at:
https://brainly.com/question/25638875
what is 90 divided by 19 +607 divided by 1
Answers
Answer:
611.73
Step-by-step explanation:
90 divided by 19 is 4.73 then add 607 which adds up to 611.73 then divide by 1 which is 611.73
Helen is a sales person. She sold a cell phone for $93 and earned 20% commission. How much commission did Helen earn? help quick
Answers
Answer:
18.60
Step-by-step explanation:
Let's first know what commission meaning:
Commission: Commission is the amount of money an employee earns when they sell something
Now Let's Start Solving:
[tex]Formula:\frac{Part}{Whole} =\frac{percent}{100}[/tex]
[tex]\frac{x}{93} =\frac{20percent}{100}[/tex]
[tex]\frac{1860}{100} =\frac{100x}{100}[/tex]
[tex]\frac{1860}{100}[/tex]
[tex]x= 18.60[/tex]
Hence, Helen earn $18.60 in Commission.
[RevyBreeze]
Answer:
Helen earned 18.60 commission, thank me later! :)
For a 15 year mortgage of $200000 at 5.125%, how much money was paid back to the lender at the end of the 15 years?
Answers
Answer:
Step-by-step
Monthly payments on a $200,000 mortgage
At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.explanation:
hope this helped
Monthly payments on a $200,000 mortgage
At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.
The amount of money which is paid back to the lender at the end of the 15 years is $353,750.
What is Interest?Interest in simple terms is the extra amount that you have to pay if you borrow money or the extra money you get if you lend the money.
Given that,
Principal amount of the mortgage = $200,000
Rate of interest, r = 5.125% = 0.05125
Number of years, t = 15 years
Simple interest = Prt
= 200,000 × 0.05125 × 15
= 153,750
Total money paid back to lender = Principal amount + Interest amount
= $200,000 + $153,750
= $353,750
Hence the money paid back is $353,750.
Learn more about Interest here :
https://brainly.com/question/13803142
#SPJ3
You must follow the order of operations to find the value of a numerical expression. Why?
Answers
Answer:
its so good out here whwere you frm
what is the relationship between slope and unit rate?
Answers
Answer:
For an equation such as y = 2.6x, the slope is the unit rate, which is the coefficient of x. For a table, the change in y divided by the change in x is the unit rate, or slope.
HELP IM DESPRITE
A furniture designer has less than 175 minutes to spend painting her designs each day. Today, she has spent 45.5 minutes painting a table. Now she will paint x shelves, each of which takes 15.5 minutes.
What is the maximum number of shelves the designer can paint?
Enter your answer in the box.
Answers
Answer:
8
Step-by-step explanation:
45.5 + 15.5x < 175
15.5x < 129.5
x < 8.35
Answer: 8
Match together cards with equivalent ratios: 3:4, 10:5, 50:100, 2:1, 5:2, 15:20, 15:6, 1;2,
Answers
Answer:
Step-by-step explanation:
50:100 and 1:2
15:20 and 3:4
15:16 and 5:2
10:5 and 2:1
Hope this helps!