Answer:
5/8 x 4/9 = 20/72 as simplified as 5/18 in fraction form. 5/8 x 4/9 = 0.2778 in decimal form.
Step-by-step explanation:
The product of -4/9 and -5/8 is 5/18.
Given are two negative fractions -4/9 and -5/8, we need to find their product,
To find the product of two negative fractions, you can multiply their numerators together and their denominators together, while keeping the negative sign.
Let's find the product of -4/9 and -5/8:
Product = (-4/9) x (-5/8)
To calculate the product, multiply the numerators and denominators:
Product = (-4 x -5) / (9 x 8)
Simplifying the multiplication:
Product = 20 / 72
Now, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which in this case is 4:
Product = (20/4) / (72/4)
= 5/18
Therefore, the product of -4/9 and -5/8 is 5/18.
Learn more about Fractions click;
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An investment banker received a bonus and invested that money in two investments. He put a certain sum
of money in the first investment that returned 7% interest after one year. In the second investment he
Invested four times that of the first investment and got a 12% interest return after one year. If the total
interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.
Answer:
Step-by-step explanation:
An investment banker received a bonus and invested that money in two investments. He put a certain sum
of money in the first investment that returned 7% interest after one year. In the second investment he
Invested four times that of the first investment and got a 12% interest return after one year. If the total
interest from his investments after one year was $8,525.00, find the amount invested at each interest rate.
221 is 65% of what number
11.25 is 75% of what number
Answer:
340; 15
Step-by-step explanation:
221 is 65% of 221
11.25 is 75% of 15
HELP IM TIMED!!!
Simplify the following expression.
4^0
Answer:
1
Step-by-step explanation:
Hope This helps! : )
Answer:
the answer i got is 10
im taking the same test right now
Step-by-step explanation:
Point B is a point of tangency. Find the radius r of OC.
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = [tex]\frac{576}{36}[/tex]
r = 16 units
Find the distance between the points (6, -2) and (9,4).
Answer:
75 units
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
answer given by IXL
Solve the central angle problem
Answer:
arc EI = 103°
arc EGI = 257°
Step-by-step explanation:
arc HI = 77° because they are alternate angles
arc EI = (360° - 77° - 77°)/2 = 103°
arc EGI = 360° - 103° = 257°
please help :))
ty :))
Answer:
Answer is 980.
Step-by-step explanation:
First what you should do it figure out 14^2 which is 196 then you times that by 5 which gets you 980. Hope this helps.
Answer:
The answer is 980.
Step-by-step explanation: to follow pemdas you first start with the exponents for there are no parenthesis. So to do this 14^2 is just 14x14 with is 196. Then you take that and multiply it by the 5 to get your end product. 196x5=980.
Hope this helps.
i’m so confused lol need help
-10 and -1
Step-by-step explanation:
Answer:
-10, and -1
Step-by-step explanation:
Two magnets will attract one another if
Answer:
the rule to remember is that opposites attract. every magnet has both a north and a South pole. when you place the North Pole of one magnet near the South Pole of another magnet, they are attracted to one another.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!
Answer:
The magnets have different poles facing each other ( N/S > < S/N )
If c= 205 angle A=81 and angle B=50. b=
Assume angle a is opposite side a, angle B is opposite side b, and angle c is opposite side c,
Answer:
Solution to Problem 1:
Use the fact that the sum of all three angles of a triangle is equal to 180 o to write an equation in C.
A + B + C = 180 o
Solve for C.
C = 180 o - (A + B) = 43 o
Use sine law to write an equation in b.
a / sin(A) = b / sin(B)
Solve for b.
b = a sin (B) / sin(A) = (approximately) 5.4 cm
Use the sine law to write an equation in c.
a / sin(A) = c / sin(C)
Solve for c.
c = a sin (C) / sin(A) = (approximately) 7.1 cm
Problem 2
The angle of elevation to the top C of a building from two points A and B on level ground are 50 degrees and 60 degrees respectively. The distance between points A and B is 30 meters. Points A, B and C are in the same vertical plane. Find the height h of the building(round your answer to the nearest unit).
diagram problem 2
Solution to Problem 2:
We consider triangle ABC. Angle B internal to triangle ABC is equal to
B = 180 o - 60 o = 120 o
In the same triangle, angle C is given by.
C = 180 o - (50 o + 120 o) = 10 o
Use sine law to find d.
d / sin(50) = 30 / sin(10)
Solve for d.
d = 30 *sin(50) / sin(10)
We now consider the right triangle.
sin (60) = h / d
Solve for h.
h = d * sin(60)
Substitute d by the expression found above.
h = 30 *sin(50) * sin(60) / sin(10)
Use calculator to approximate h.
h = (approximately) 115 meters.
Problem 3
A triangle ABC has side a = 12 cm, side b = 19 cm and angle A = 80 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).
Solution to Problem 3:
Use sine law to write an equation in sin(B).
a / sin(A) = b / sin(B)
Solve for sin(B).
sin (B) = (b / a) sin(A) = (19/12) sin(80) = (approximately) 1.6
No real angle B satisfies the equation
sin (B) = 1.6
The given problem has no solution.
Problem 4
A triangle ABC has side a = 14 cm, side b = 19 cm and angle A = 32 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).
Solution to Problem 4
Use sine law to write an equation in sin(B).
a / sin(A) = b / sin(B)
Solve for sin(B).
sin (B) = (b / a) sin(A) = (19/14) sin(32) = (approximately) 0.7192
Two angles satisfy the equation sin (B) = 0.7192 and the given problem has two solutions
B1 = 46.0 o and B2 = 134 o
Solution 1: Find angle C1 corresponding to B1
C1 = 180 - B1 - A = 102 o
Solution 1: Find side c1 corresponding to C1
c1 / sin(C1) = a / sin(A)
c1 = 14 sin(102) / sin(32) = (approximately) 25.8 cm
Solution 2: Find angle C2 corresponding to B2
C2 = 180 - B2 - A = 14 o
Solution 2: Find side c2 corresponding to C2
c2 / sin(C2) = a / sin(A)
c1 = 14 sin(14) / sin(32) = (approximately) 6.4 cm
Exercises
1. A triangle ABC has angle A = 104 o, angle C = 33 o and side c = 9 m. Solve the triangle ABC by finding angle B and sides a and b.(round answers to 1 decimal place).
2. Redo problem 2 with the distance between points A and B equal to 50 meters.
Solutions to Above Exercises
1. B = 43 o, a = 16.0 m , b = 11.3 m
2. 191 meters.
More References and Links to Sine and Cosine Laws
sine law
Sine Law Calculator and Solver.
Geometry Tutorials, Problems and Interactive Applets.
Cosine Law Problems.
Cosine Law Calculator and Solver.
POPULAR PAGES
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Sine Law - Ambiguous case - applet
Triangles
Triangle Problems
Determine if a triangle with the following sides forms a right triangle. Explain.
10 ft, 12 ft, 30 ft
6 m, 8 m, 10 m
8 m, 16 m, 24 m
20 in, 21 in, 28 in
Answer:
10, 12, 30 - no
6, 8, 10 - yes
8, 16, 24 - no
20, 21, 28 - no
Step-by-step explanation:
Just plug them into the Pythagorean Theorem equation (a² + b² = c²)
Brₐinliest plz close to leveling up
HELP ME OUT PLEASE I WILL GIVE BRAINLIEST
Answer:
31
Step-by-step explanation:
They're technically asking you to find the missing angle. 61+57 is 118. 180-118 is 62. Since they're asking 2x, you do 62 divided by 2, which is 31.
The school cafeteria has 13 round tables and 20 rectangular tables. Each round table has 7 chairs, and each rectangular table has 8 chairs. How many chairs are there in all?
Answer:
160 for the rectangle table and 91 for the round table
x 52° 46° Find the unknown angle measure
Answer:
82 degrees
Step-by-step explanation:
It should all equal 180 so 52+46=98 and 180-98 is 82
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60%, percent of their plants are flowers and 40%, percent are vegetables. They have 50 plants growing in the garden.
Answer: the answer is 20.
the question is on the photo anyone pls help
Answer:
3 inches per hour
Step-by-step explanation:
hope this helps
Please answer (NO SPAMMING) What is the sum of 56.4t + 1650kg? Give your answer in Kg
Answer:1,706
Step-by-step explanation:
Add
Answer:
58,050,000 grams= 58050kg
Step-by-step explanation:
58059kg is the answer
help I literally got a 4/10 in my english test and my mom is like REALLLLY mad that she took my phone so I’m using my sisters ipad and she gave me advice on this app so i don’t even know if this could help but this is the page I need to complete/it’s for term 2 (week2) basically on my test well it’s apart of it so pls help- I used all the points I think that’s what it’s called? But helpppp please
Answer:
1. their
2. your
3. there
4. You're
5. they're
6. it's
Step-by-step explanation:
Answer: Below
1. Their
2. i dont know sorry
3. There
4. Your're ( I think, I am not good at the Ys
5. They're
6. I think it's
Please do not take these answer for granted I am trying my best
Thank you and have a great nae nae
6 and 1/3 minus 4 and 1/4
Someone please please help help me please please ASAP with my work
And NO LINKS or FILES
Answer:
1.
Blank 1: y
Blank 2: x
2.
Blank 1: x
Blank 2: y
Step-by-step explanation:
The reflection of a point along y-axis means the y value stays the same and the x-value changes its sign.
Blank 1: y
Blank 2: x
The reflection of a point along x-axis means the x value stays the same and the y-value changes its sign.
Blank 1: x
Blank 2: y
Help me solve this problem!!
I’m giving out brainlest!!
Answer:
x= 40°
Step-by-step explanation:
since the angles of the quadrilateral add up to 360°
then to find the agle x:
step:1
add alll the angles given in the quadrilateral
100+120+100
= 320
step:2
now subtract the sum of the quadrilateral from the sum of alll angles
360°-320° = 40°
therefore the answer equates to 40°
Answer:
360-(100+120+100)
360-320
40
Jeb and Lori went to a florist to buy flowers. Jeb bought 6 roses and 3 carnations for $20.25. Lori bought 8 roses and 3 carnations for $25.75. Find the price of one rose and the price of one carnation.
Answer:
rose: $2.75; carnation: $1.25
Step-by-step explanation:
solve the inequality n- 1 3/4 <-5/8
Answer:
n<
9/8
explanation
simplify n+ -7/4 < -5/8
add 7/4 to both sides
= n< 9/8
The wallpaper is sold in rolls that are 18 in wide and 33 ft. long
What is the area of one roll of wallpaper?
Answer:
49.5 ft²Step-by-step explanation:
Dimensions:
w = 18 in = 18*1/12 ft = 1.5 ftl = 33 ftArea is:
A = lw = 1.5*33 = 49.5 ft²0______ -1
A.>
B.<
C.=
Answer:
B) <
Step-by-step explanation:
b is the answer because -1 is bigger than 0 so, the answer is b.
Prove the identity and include the rule
Hi there!
To begin, we can distribute sec²x with (1 - sin²x):
= sec²x - sec²xsin²x
Which simplifies to:
= sec²x - tan²x
Recall the Pythagorean identity:
1 + tan²x = sec²x
Rearrange alike to the solved for expression above:
1 = sec²x - tan²x
Thus, using the Pythagorean Identity, sec²x(1 - sin²x) = 1.
A bag with 8 marbles has 4 yellow marbles and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Answer:
0%
Step-by-step explanation:
Since there are no red marbles in the bag, there is no chance that a red marble will be picked.
Evaluate
13- (-9)
need helpp
Answer:
The answer is 22.
Explanation:
Multiply -1 by -9.
[tex]13 + 9[/tex]
Add 13 + 9.
[tex]22[/tex]
Therefor, the answer is 22.
Write the 3.777 as a mixed number
help now please or ur not cool