When the length of one side and the angle of one corner of a right-angled triangle are provided as 16 and 69°, respectively, trigonometric ratios are used to compute the value of b as 35.38.
what is trigonometric ratios ?The values of all trigonometric functions depending on the side ratio of a right-angled triangle are known as trigonometric ratios. The ratios of a right-angled triangle's sides to any acute angle are the angle's trigonometric ratios.
given
one side = 16
angle = 69°
one angle = 90° as right angle triangle
another angle = 69°+ 90° + x = 180°
= 155° + x = 180°
x = 25°
a / sin69° = 16 / sin25°
a = 35. 38
When the length of one side and the angle of one corner of a right-angled triangle are provided as 16 and 69°, respectively, trigonometric ratios are used to compute the value of b as 35.38.
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Sarah's mother gives her $25 for each A she gets on her report card and $10 for each B. If Sarah's mother gave her $80 and Sarah had 3 B's, how many A's did she have on her report card?
Answer:
2 A"s
Step-by-step explanation:
You take 80-30 and are left with 50 so you divide that by 25 and get 2
What is the surface area of this right rectangular prism?
Enter your answer in the box.
in²
A rectangular prism with a length of 3 inches, a width of 1 inch, and a height of 2 inches.
Answer: Here's what I got:
Step-by-step explanation:
Is this what you wanted? My answer is A=22in²
Here's how I got it:
A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²
This was right? Make sure to like and rate! Appericate it.
Answer:
A=22in²
Step-by-step explanation:
A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²
Hey can someone please help me with this
Answer:
Esteban
Step-by-step explanation:
Evaluate the expression 30 + 10 -10
One side of a fence is 22 feet long. If 3 feet = 1 yard, how many yards long is the fence?
3
Michael split
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form.
Answer:
1/8
Step-by-step explanation:
The question is incomplete, here is the complete question
Michael split 3/4
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form
SOLUTION:
Micheal splits 3/4 candy among 8 people
Therefore the unit rate per pounds per person can be calculated as follows
= 3/4 ÷ 8
= 3/4 × 1/8
= 3/24
= 1/8
Hence the unit per pound per person is 1/8
What does this add up to 5/27 + 1/27 =
Answer:
6/27
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
5/27+1/27=6/27
reduced to lowest denominator
(divide top & bottom by 3)
2/9
Another math problem
Answer:
sorry no se la respuesta
A boat which moves a 15 miles per hour without a current goes 36 miles upstream and 36 miles back in 5 hours. Find the speed of the current
Answer:
3 mph
Step-by-step explanation:
UPSTREAM:
distance = 36 miles ;
Speed = 15-c mph ;
TIME, t = distance / speed = 36/(15-c)
Downstream :
distance = 36 miles ;
speed = 15+c mph ;
time, t = 36/(15+c)
upstream time + downstream time = 5 hrs
36/(15-c) + 36/(15+c) = 5
36(15+c) + 36(15-c) = 5(15-c)(15+c)
1080 = 5(225 - c²)
1080 / 5 = 225 - c²
216 = 225 - c^2
216 - 225 = c²
-9 = c²
c = 3
Do the ratios 4/2 and 10/5 form a proportion? Yes or no
Answer:
These are both 20 so that means that this is proportional, yes.
Step-by-step explanation:
Hi.
To figure this out we can do something called cross multiplying to find a cross product. If we do this and our two answers are equal then it is indeed a proportion.
Here is how we do this.
[tex]\frac{4}{2}[/tex] [tex]\frac{10}{5}[/tex]
So basically what we are doing is multiplying across in a diagonal direction.
Diagonal meaning like a slash / .
So in this case we would multiply the 4 and the 5 , since they're diagonal from each other.
Do the same for the 2 and the 10.
So we have to multiply :
4 x 5
2 x 10
=
20
These are both 20 so that means that this is proportional, yes.
Hope this helps.
If you have any questions or concerns feel free to message me.
Yes the ratios 4/2 and 10/5 form a proportion.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
To figure this out we can do something called cross multiplying to find a cross product. If we do this and our two answers are equal then it is indeed a proportion.
4/2, 10/5
So basically what we are doing is multiplying across in a diagonal direction.
Diagonal meaning like a slash.
So in this case we would multiply the 4 and the 5 , since they're diagonal from each other.
Do the same for the 2 and the 10.
So we have to multiply :
4 x 5
2 x 10
=20
Hence these are both 20 so that means that this is proportional, yes.
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Which description best fits the graph?
decreasing, then increasing
always increasing
increasing, then decreasing
always decreasing
4r - 9 = 7r can you help solve
Answer:
r=4 :)
Step-by-step explanation:
I generally need help
Answer:
24 units²
Step-by-step explanation:
4(12)/2=24
How many units down does susan need to move to get to the fourth point on the number line a. 1/2 b. 3/2 c. 2 d. 4 e. 6
Answer:
e. 6
Step-by-step explanation:
Hello there!, since there is no prior information concerning the activities performed by Susan, I will explain what a number line is and try as much as possible to answer your question from the definition.
A number line is a line on which integers are usually drawn as points separated by a uniform distance. This way, the number line makes addition and subtraction easier, which is very useful when you want to teach someone these operations.
Now, let assume Susan starts from 0 on the number line, to get to the fourth point, Susan needs to move 4 blocks, where each block contains 10 units.
Now, let's assume that Susan is at the third block and the fourth unit, it will take Susan an additional 6 units to get to the fourth point.
NOTE: The solution to this question was provided based on assumption since no much information was given in the question.
12 = 6y - 36
Solve for y
Answer:
y=8
Step-by-step explanation:
add 36 to 12. then divide 48 (the result) by 6 to get 8
Answer:
Y=8
Step-by-step explanation:
12 = 6 x y - 36
12=6 x 8 - 36
12 = (6x8) - 36
12 = 48 - 36
Y= 8
Hope this helps
Mark brainliest if it helps.
A rectangular playground has an area of 3,162 square meters. If the width of the rectangle is 51 meters, find the length.
Answer:
Step-by-step explanation:
What is the y intercept and slope??
Answer:
y = .5x+30
Step-by-step explanation:
[tex]m= \frac{y2-y1}{x2-x1}[/tex]
hope this helps, good luck :)
How much would a house cost today if it cost $100,000 2 years ago before a 4% increase each year in housing prices?
Answer:
100000 × 1.04 × 1.04
Step-by-step explanation:
108160
Ahh- yes—- I need help, again-
11w+5w-1=65w-36
Ayuden poniendo tambien el procedimiento plis
Answer:
w=1.4
Step-by-step explanation:
11w+5w-1=65w-36
16w-1=65w-36
16w-65w= -36+1
-49w= -35
w= -35/-49
w= 1.4
someone pls help me 10 points
Justin is evaluating the expression 12.5 + 3.8 x, when x is 7.9. 12.5 + 3.8 (7.9). 16.3 (7.9). 128.77. What was Justin's error? Justin should have multiplied 12.5 and 7.9 first. Justin should have added 12.5 and 7.9 first. Justin should have multiplied 3.8 and 7.9 first. Justin should have added 3.8 and 7.9 first.
Answer: Justin should have multiplied 3.8 and 7.9 first.
Step-by-step explanation:
Given the equation
12.5 + 3.8x
where, x = 7.9, the first thing that Justin's should have done was to multiply 3.8 and 7.9 first. This will be:
= 12.5 + 3.8x.
= 12.5 + 3.8(7.9)
= 12.5 + 30.02
= 42.52
Answer: (C) Answer: Justin should have multiplied 3.8 and 7.9 first.
Step-by-step explanation: Read person above(just making sure it's correct)
please help these two questions show working
thank you :)
Answer:
a) The acceleration between 20 and 40 seconds is equal to the slope in that range.
Remember that for aline that passes through the points (a, b) and (c, d) the slope is:
slope = (d - b)/(c - a)
In this case we can see the points:
(20s, 2m/s) and (40s, 4m/s)
Then the slope (and thus the acceleration) is:
slope = (4m/s - 2m/s)/(40s - 20s) = (2m/s/20s) = 0.1 m/s^2
The acceleration between 20 seconds and 40 seconds is 0.1 m/s^2
b) The total distance travelled is equal to the area under the curve.
So we could just count the number of squares, this is the easy way.
We can see that each square measures 10 seconds by 1 m/s, then the "area" of each square represents:
a = (10s)*(1m/s) = 10m
This means that each square represents a distance of 10 meters.
We can count that:
between 0s and 10s we have 1 whole square.
between 10s and 20s we have 2 whole squares.
between 20s and 30s we have 2 and half squares.
between 30s and 40s we have 3 and half squares.
Then the total number of squares under the curve is:
1 + 2 + 2.5 + 3.5 = 3 + 2.5 + 3.5 = 3 + 6 = 9
So we have 9 whole squares under the curve, and each square represents a distance of 10 meters, so the total distance traveled is:
Distance = 9*10m = 90m
c) We have an isosceles triangle where we know that one side measures 8.2 cm and another side measures 9.4cm
An isosceles triangle has two equal sides and one different.
So if we want to have the maximum perimeter, the two equal sides must have the longest side length (9.4 cm)
Then the (largest) perimeter of the triangle (the sum of the lengths of all 3 sides) is:
8.2cm + 9.4cm + 9.4cm = 27cm
Three runners in a relay race share the 8-mile distance equally. How many miles does each runner travel?
Answer: 2 2/3 miles
Step-by-step explanation:
From the question, we are informed that three runners in a relay race share the 8-mile distance equally.
The number of miles that each runner travel will be the total miles divided by number of runners. This will be:
= 8/3
= 2 2/3 miles
I know this is easy but I got a diff answer so pls help. Worth 5 points
Step-by-step explanation:
[tex] \frac{5}{8} \times \frac{3}{2} \div \frac{15}{16} \\ \frac{15}{16} \times \frac{16}{15} \\ = 1[/tex]
Answer:
1
Step-by-step explanation:
5/8 x 1 1/2 / 15/16 = 1 (5/8 / 15/16 = 2/3, 2/3 x 1 1/2 =1 )
expand using exponential form a.) 1492.034 b.) 1200.36
Answer:
Step-by-step explanation:
Expanded Exponential Form:
1,492.034 =
1 × 10^3
+ 4 × 10^2
+ 9 × 10^1
+ 2 × 10^0
+ 0 × 10^-1
+ 3 × 10^-2
+ 4 × 10^-3
Expanded Exponential Form:
1,200.36 =
1 × 10^3
+ 2 × 10^2
+ 0 × 10^1
+ 0 × 10^0
+ 3 × 10^-1
+ 6 × 10^-2
i need help pls i don't know what to do at all pls help
Answer:
Add all the outer lines and they may add up to be the perimeter, if you need the area multiply 4 times 8 and add that to 5.6*4/2 +4.5*4/2 plus four times eight
Step-by-step explanation:
Answer:
I remember these form when I was like 10 but ok.
Step-by-step explanation:
pretty sure you multiply the base times the height. But first you have to take out all triangwkes which leaves you with two of them.
so 8x4 for the top one and then 14x4.5 for the bottom one.
then for the triangles the one on the left is 5.6x4
the right one is 4.5x14
then divide both triangles answers into two. That should be the triangle areas. Then add the two triangles pieces together.
once don’t add the squares areas with the triangles and that’s THE AREAAAA
im sry I’m a lil rusty so if it’s wrong pwease forgive me :/
Evaluate the expression when x = 2.5 and y = 6.
5xy
Answer:
75
Step-by-step explanation:
5(2.5)(6)
5*2.5*6
=75
Answer:
75
Step-by-step explanation:
5*(6x2.5)
6x2.5=15
15x5=75.
30 is 85 percent of what number?
Divide 30 by 85%
30/0.85 = 35.29411765
Answer:
35 5/17 or 35.29411765
Step-by-step explanation:
30 times 100 divided by 85
What is the area of the composite figure?
65 cm2
52.5 cm2
40 cm2
60 cm2
Answer:
65 cm²
Step-by-step explanation:
follow for more on my id
Answer:
65 cm I just took the test
Step-by-step explanation: