ABC and ACD are triangles.
a) Show that AC = 11.4 cm, correct to 3 significant figures.
А
17 cm
76°
429
D
13 cm
83
B В-
с
b) Calculate BC.
Answer:
a) 11.4
Step-by-step explanation:
cos42=0.74
d²=c²+a²-2caCosD
d²=17²+13²-2×17×13×Cos42
d²=17²+13²-328.47
d²=289+169-328.47
d²=458-328.37
d=√129.63
d=11.4
The length of AC is 11.4 cm and the length of BC is 30.9 cm after solving through trigonometric ratios.
What are trigonometric ratios?Trigonometric ratios deal with the sides and angles in a right angled triangle. sin, cos, tangent ,cosecant ,secant and cotangent are trigonometric ratios.
How to find the length of side of triangle?ABC and ACD are triangle,
The value of AC will be:
According to cosine formula:
[tex]AC^{2} =AD^{2} +AC^{2} -2AD*AC*Cos D.[/tex]
[tex]AC^{2} =17^{2} +13^{2} -2*17*13* cos 42[/tex]
[tex]AC^{2} =[/tex]289+169-328.47
[tex]AC^{2}[/tex]=129.52
AC=11.4 cm
The value of BC will be as under:
using the sine rule
BC/sin A=CA/sin B=AB/sinC
BC/sin76=11.4/sin 21=AB/sin83
from the first 2 in equal to form
BC/sin 76=11.4/sin 21
BC=30.9
Hence the length of AC=11.4 cm and BC=30.9 cm.
Learn more about trigonometry at https://brainly.com/question/24349828
#SPJ2
help me ill give you 10 points
Answer:
a) 4:6= 2:3 or 2/3 or .666666
b) 10:4= 5:2 or 5/2 or 2.5
Step-by-step explanation:
Are the lines parallel?
I will give brainiest to whoever answers correctly !!
Answer:
august 1st
Step-by-step explanation:
Which of the following best describes the expression 6(y + 3)?
Please !
Answer:
The product of a constant factor of six and a factor with the sum of two terms
Step-by-step explanation:
5) What is the product of prime numbers immediately before and after 50?
Hey there!
The answer to your question is 2491
The two prime numbers immediately before and after 50 are 47 and 53, so 47 x 53 = 2491.
Hope this helps and have a great day!
There are 3 ants in the soccer field each day the number of ants are multiplied by 10 This function represents
Answer:
3 x 10d = a
d=days
a=ants
Step-by-step explanation:
4x< 20; x = 20
can you show me the work?
Answer:
Step-by-step explanation:
Here you go mate
Step 1
4x<20 Equation/Question
Step 2
4x<20 Simplify
4x<20
Step 3
4x<20 Divide by 4
answer
x<5
if x = -3 is a zero of f(x), which of the following must be true?
a) A factor of f(x) is (x – 3)
b) A factor of f(x) is (x + 3)
c) x = 3 is also a zero
d) f(x) has no real solutions
Answer: B
Step-by-step explanation: You make the values in the parentheses equal to zero.
(X + 3) = 0
X = -3
A is wrong because the root would be 3, not negative 3. C is wrong because 3 isn’t guaranteed to be a root. D is wrong because -3 is a real solution.
A rectangular lawn has a perimeter of 15.8 meters and the length is 3.1 meters longer than the width. What are the dimensions of the lawn? If the width of the fixture is w meters, find w to one decimal place.
Answer:
w is 4.8 meters
Step-by-step explanation:
-perimeter is 15.8 m so all the sides of the rectangle adds up to 15.8.
- a rectangle has 2 sets of equal sides.
-first, do 3.1 times 2 to get the length of the first set of equal sides. This equals to 6.2.
-now 15.8 - 6.2 = 9.6 meters
- 9.6 divided by 2 to find the width, as well as the measurements of the second set of equal sides.
the width, w, is 4.8 meters.
Replace the values of A, b, x, and y to write an exponential equation that represents the number of cells present at h hours.
Answer:
100(2)^h =6,400
Step-by-step explanation:
For an equation in the form A(b)^x=y , A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100 .
Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2 . So the growth rate, or b, is 2.
The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is 100(2)^h =6,400.
What’s the answer to this question
Answer: 5
Step-by-step explanation:
x + 8 = 13
Subtract 8 from both sides of the inequality.
x = 13 − 8
Subtract 8 from 13.
x = 5
pls give me brainiest :)
the answer is : 7
7 + 8 =15
15 > 13
can someone help me find answer.
Answer:
Your answer is 7 meters.
Answer:
A coral reef grew 7 meters.
Step-by-step explanation:
The prefix "milli" before any standard unit such as meters, grams, or seconds and etc., It means it takes 1000 milli units to make 1 standard unit. Example:
1 meter= 1 millimeters.
To solve this problem you need to cross multiply:
7000 millimeters 1 meter
multiply = 7 meters
1 month 1000 millimeters
Units that are the same and diagonal from each other cancel out.
So the answer is: Last month, A coral reef grew 7 meters.
what is the equilvant expression 2^-2
Answertrkbjvncdmxs
nbjtrlkmg;e,'dmfnvhnjvlfkvmkj j nfcmkgtrj
Step-by-step explanation:
2y + 4x = 16
Anyone know how to solve for Y?
Answer:
y = -2x + 8
Step-by-step explanation:
In this question, you have to solve for "y".
Solve:
2y + 4x = 16
Get "y" by itself by subtracting 4x from both sides.
2y = -4x + 16
Simplify by dividing both sides by 2.
y = -2x + 8
Answer:
this i what i got..........
Hey would someone help me with my math question ?
Answer:
Store number 1 has the best discount.
Step-by-step explanation:
Find how much of a discount you get from each store. For number 1 you find 30% of $150 by turning the percent to a decimal and multiplying, for number 2 you would subtract 150 - 30, and for number 3 you subtract 150 - 1/5. When all of this is done you get the greatest discount of $45 off from store number 1.
SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!
Answer:
39
Step-by-step explanation:
x+3x+24=180
4x=156
x=39=A
3x=117=B
PLS help whats 800000000.0%x9000000.0%=p\
Answer: 720,000,000,000
Step-by-step explanation: Find your answer by multiplying the 2 percent's.
Let p, equal percent.
800000000.0%x9000000.0% = p
800000000.0%x9000000.0% = 720,000,000,000
720,000,000,000 = p
Hilary sells makeup, primarily lipsticks and eye shadows. She sells the lipsticks for $10 and the eye shadows for $5. At a home show, she wants to sell at least $120 of these two products, knowing she has at most 20 items in her inventory that are either lipsticks or eye shadows.
She makes $7 on every lipstick and $3 on every eye shadow she sells. Use the information below:
Let x = lipsticks
Let y = eye shadows
Then $10x + $5y > $120
and x + y < 20.
The graph of these functions is shown to the right. It is impossible to sell a negative number of makeup items, so x and y both have to be greater than zero. Therefore, the functions are confined to the first quadrant.
Profit function:
P = $7x + $3y
How many lipsticks and eye shadows should be sold to maximize the total profit?
A.
The profit is maximized when 20 lipsticks and 0 eye shadows are sold.
B.
The profit is maximized when 12 lipsticks and 0 eye shadows are sold.
C.
The profit is maximized when 16 lipsticks and 4 eye shadows are sold.
D.
The profit is maximized when 4 lipsticks and 16 eye shadows are sold.
BRAINLIEST
please help and leave a small explanation:)
Answer:
Choose option D. Angle 3 and Angle 6
Step-by-step explanation:
Angle 3 = Angle 6 ( being alternate angels)
Hope it will help :)
Answer:
congruent means that they are the same angle so that being said, you can clearly tell that A, B, and C are not the same angles at all. and D is the only correct answer.
Step-by-step explanation:
I really hope this helps!
A triangle with a base of 10 and side lengths of 13 is similar to what other kind of triangle
A. base of 100 and side lengths of 100
B. base of 20 and side lengths of 27.5
C. base of 25 and side lengths of 32.5
D. base of 5 and side lengths of 13
Answer:
Step-by-step explanation:
the only correct choice is C
= multiplied each side by 2.5
The radius of a circle is 13.9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
87.3
Step-by-step explanation:
C=2piR
2×3.14×13.9=87.33
What property is used to show that 6(x + 7) = 6x + 42?
Commutative property
Identity property
Distributive property
Associative property
Answer: Distributive because 6 has to be multiplied by x and 7
On the average it takes the factory 4.2 hours to produce 6 truckloads of steel how many truckloads would the factory produce in 7 hours ?
Find the slope of the line (1,6) and (-3,0)
Answer:
slope= 3/2
Step-by-step explanation:
y2-y1/x2-x1=slope
0-6/-3-1= -6/-4 or 3/2
Answer:
(1, 6) is 1 quadrant and (-3, 0) is 2nd quadrant
The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m. Find the mean of the heights of the buildings D and E.
========================================================
Work Shown:
s = sum of the heights of buildings A,B,C
s/3 = mean of the heights of buildings A,B,C
s/3 = 14.2
s = 3*14.2
s = 42.6
The buildings A,B,C have their heights add up to 42.6
--------------
r = sum of the heights of buildings A,B,C,D,E
r/5 = mean of the heights of buildings A,B,C,D,E
r/5 = 14.8
r = 5*14.8
r = 74
--------------
r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)
r-s = sum of the heights of buildings D and E
r-s = 74-42.6
r-s = 31.4
(r-s)/2 = mean height of buildings D and E
(r-s)/2 = 31.4/2
(r-s)/2 = 15.7 meters is the average height of buildings D and E.
1/4(12x - 16) = 4 is equivalent to 3x - 16 = 4
Answer:
False, it's equal to 3x-4
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
so which one is it? a, b, c, or d? I NEED HELP ASAP NO STEP BY STEP NEEDED
THANKS SO MUCH :)
Answer:
The answer would be B. With equations, what you do to one side you have to do to the other.
Scarlett is going to invest in an account paying an interest rate of 4% compounded daily. How much would Scarlett need to invest, to the nearest ten dollars, for the value of the account to reach $54,000 in 8 years?
Answer: 39210
Step-by-step explanation:
Solving a word problem on proportions using a unit rate
Kala drove 315 miles in 5 hours.
At the same rate, how long would it take her to drive 693 miles?
Answer: It would take Kala 11 hours to drive 693 miles
Step-by-step explanation:
315/5=63 miles an hour
693/63=11 hours
It would take Kala 11 hours to drive 693 miles