Answers
Answer:
[tex]x=32[/tex]°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}[/tex]
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
Now take the cross product in this equation to simplify it further,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
[tex]17(sin(x))=10(sin(116))[/tex]
Inverse operations, solve this equation for (x),
[tex]17(sin(x))=10(sin(116))[/tex]
[tex]sin(x)=\frac{10(sin(116))}{17}[/tex]
[tex]x=sin^-^1(\frac{10(sin(116))}{17})[/tex]
[tex]x=31.91782...[/tex]
[tex]x\approx32[/tex]
Answer:
hello,
Step-by-step explanation:
the triangle is isocele,
x+x+116=180
x=(180-116)/2
x= 32° (thirty-two , trente-deux in french)
Related Questions
Can someone please help? This is difficult.
Answers
They intersect at a point called the centroid. See the attached sketch.
Write an expression that represents the perimeter of he rectangle
Answers
Answer:
Since the sides across from each other are congruent, you can times them by two
2(4x-6)+2(3x+4)
a/6 is greater than 1
Answers
Answer: if its a proper fraction, 1 is always greater. Just know that because something doesnt look right here!
Step-by-step explanation:
Mr. Smith had $50. He found a $5 bill. What is the percent of change in his money?
Please show in step by step how to solve
Answers
Answer:
10%
Step-by-step explanation:
a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%
0.326
In stranded form pleasee
Answers
Answer:
0.326
The dot is going to move to the right which is going to be in between 3 and 2.
Then the answer will be 3.26 ×10^-1
Answer:
3.26 × 10-1 or
[tex] \frac{163}{500} [/tex]
I didnt know which one u needed
pls help it's due today
Answers
Answer:
x = 5
y = 8.66
Step-by-step explanation:
I hope this helps!!
Can someone help me :
Answers
You rent an apartment that costs
$
800
$800 per month during the first year, but the rent is set to go up 12.5% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answers
Answer:
2,309.2
This could be wrong but I'm pretty sure it's right
can someone help me answer this
Answers
[tex]32^{-\tfrac 25}\\\\=(2^5)^{-\tfrac 25}\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\=\dfrac 14[/tex]
How do u slove this for y intercept?
(4, 1); slope=3/2
Answers
Answer:
y-intercept=-5
Step-by-step explanation:
y=mx+b m/slope=3/2 the point is (x,y)/(4,1)
1=3/2(4)+b
1=12/2+b
1=6+b
-6-6
-5=b
Boris has 10 pairs of jeans, 15 T-shirts, and 7 sweaters in his closet. Write the ratio of sweaters to pairs of jeans using a colon.
Brainliest to a person who gets it right.
Answers
Answer: 7:10
Step-by-step explanation: You are asked to find the ratio of sweaters to pairs of jeans. All you do is write the 7 sweaters and the 10 pairs of jeans. And you get a ratio of 7:10. Since this cannot be reduced any further, you just leave it as it is.
Hope this helps.
What is Decrease 20g by 10% please?
Answers
Answer:
18
Step-by-step explanation:
How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(x)=(x+1)^2−3 is [−1,∞), the inverse of the function is Response area, and the domain of the inverse function is
Answers
Using inverse function concepts, it is found that:
The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].A function will have an inverse if for each output, there is only one respective input.The domain of the inverse is the range of the original function.The function given is:
[tex]f(x) = (x + 1)^2 - 3[/tex]
It's range is [tex][-3, \infty][/tex], which will be the domain of the inverse.To find the inverse, we exchange x and y, and isolate y, then:
[tex]y = (x + 1)^2 - 3[/tex]
[tex]x = (y + 1)^2 - 3[/tex]
[tex](y + 1)^2 = x + 3[/tex]
[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]
[tex]y + 1 = \sqrt{x + 3}[/tex]
[tex]y = \sqrt{x + 3} - 1[/tex]
The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].
A similar problem is given at https://brainly.com/question/13160937
Answer:
Step-by-step explanation:
A pink paint mixture uses 3 cups of white paint for every 6 cups of red paint.
The table show different quantities of red and white paint for the same shade
of pink. Complete the table.
PLS HURRY
Answers
Answer:
1/2 white paint for 1 red paint
3/2 white paint for 3 red paints
12 red paint for 6 white paints
Step-by-step explanation:
I used the ratio form
Soln: 6 red paints : 3 white paint = 1 red paint : x
6/3 × 1/x
So we will cross multiply
6x/6 × 3/6
x = 1/2
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answers
Answer:
3% freshwater
Step-by-step explanation:
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
1%
Step-by-step explanation:
3% is wrong. I took the test and I’ve studied this :)
Can i have help with these two problems.
Answers
Answer:
(11/7)x + (3/7)y
Step-by-step explanation:
Perform the indicated multiiplication. We get:
(6/7)x - (2/5)y + (5/7)y + (5/7)x
Now combine like terms, obtaining: (11/7)x + (3/7)y
An alternative expression would be (1/7)(11x + 3y)
Determine the total number of roots of each polynomial function.
f (x) = (3x4 + 1)2
Answers
It’s not allowing me to place done the work but the answer is 8 sorry!
The price of an item has been reduced by 20% The original price was $32 find the price of the item now.
Answers
Answer:
25.6
Step-by-step explanation:
32-(32*20%)=32-6.4=25.6
The gas tank of priya pontoon boat can hold 5 gallons it is completely empty Oriya needs a full tank for the days activities she adds 2 1/4 gallons from a gas canister and then takes the boat to a nearby marina to fill it up. She has to pay ahead. Oriya wants the tank as full as possible but does not want to overpay. How many gallons should Oriya ask for?
Answers
The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.
The lenghts of the sides of a small cube are 1/4 ft each.
Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)
Answers
Answer:
See belowStep-by-step explanation:
Dimensions given:
l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ftA small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
Length
2 1/4 : 1/4 = 9/4 * 4 = 9Width
1 : 1/4 = 1 *4 = 4Height
1 1/4 : 1/4 = 5/4 * 4 = 5Part A
Number of small cubes would be:
9*4*5 = 180Part B
Each small cube has volume:
V = (1/4)³ = 1/64 ft³The volume of the prism in terms of small cubes is 180 as we found above.
The volume in terms of unit cube:
V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³Arman weighs 35 kg. Rosie weighs 3 times as much. How many GRAMS does Rosie weigh?
Answers
Answer: 105k
Step-by-step explanation:
1. Multiply the number by three (35kg x 3)
2. Use your answer (105kg) and convert it to grams
3. GET YOUR ANSWER = 105k Grams
4. Therefore, Rosie weighs 105k grams
Students who
ride the bus
65% of the 800 students at North High School ride the
bus. How many students ride the bus?
0 65
?
100 multiplied by
is equal to 800
H
65 multiplied by
vis equal to
0 100
800
out of
students ride the bus.
All
students
Answers
520 :)
Reason:
65%-> .65
.65 x 800=
520
100 POINTS + WILL MARK YOU BRAINLY PLEASE HELP
a) Create a scatter plot displaying the data in the table. Be sure to include a linear trend line.
(only answer if you know the answer)
Answers
Answer:
The scatter plot is in the picture attached
Find the value of x and then identify the measure of each of the angles.
Answers
Answer:
x = 21
Upper angle has a measure of 69°
Lower angle has a measure of 21°
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
A right angle has a measure of 90 degrees.
This means that (x + 48) + x must equal 90
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
x + 48 + x = 90
combine like terms
2x + 48 = 90
subtract 48 from both sides
2x = 42
divide both sides by 2
x = 21
We then plug in x to find the measures of the angles
x + 48
x = 21
21 + 48
= 69
The other angle simply equals 21°
Answer:
x = 21°
(x + 48°) = 69=
Step-by-step explanation:
x + 48° + x = 90°
2x +48° = 90° Subtract 48° in both sides
2x = 42° Divide both sides by 2:
x = 21°
2(4w+7)=62
Whats the answer how do I do it?
Answers
[tex]2(4w + 7) = 62[/tex]
Divide both sides by 2
[tex] \frac{2(4w + 7)}{2} = \frac{62}{2} \\ [/tex]
[tex]4w + 7 = 31[/tex]
Subtract both sides 7
[tex]4w + 7 - 7 = 31 - 7[/tex]
[tex]4w = 24[/tex]
Divide both sides by 4
[tex] \frac{4w}{4} = \frac{24}{4} \\ [/tex]
[tex]w = 6[/tex]
Answer:
w=6
Step-by-step explanation:
Step 1 : Simplifying
2(4w + 7) = 62
Step 2 : Recorder the terms :
2(7 + 4w) = 62
(7 * 2 + 4w * 2) = 62
(14 + 8w) = 62
Solving-
14 + 8w = 62
Solving for the variable 'w'
Move all terms containing w to the left side, all other terms to the right.
Add '- 14' to each side of the equation.
14 + - 14 + 8w = 62 + - 14
Combine like terms: 14 + - 14 = 0
0 + 8w = 62 + - 14
Combine like terms: 62 + - 14 = 48
8w = 48
Divide each side by '8'
W = 6
Simplifying
W = 6
Mrs. Clark's plant is 4 3/4 inches tall. It is 1 7/8 inches taller than Jimmy's plant.
How tall is Jimmy's plant?
Answers
Explanation: Change 4 3/4 into 4 6/8. 4+1 = 5 and 6/8 + 7/8 =1 5/8. 1 5/8 + 5 = 6 5/8 inches tall.
Hope this helps!
Someone plz help ToT
Answers
The scale factor is 1.5 because:
9 x 1.5 = 13.5
5 x 1.5 = 7.5
What is mathmatics ?
Answers
Answer:
The abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics )..
Ex :- Plus , minus
I HOPE IT IS HELPFULMathematics is a very important field of study in human society that can be described as the study of:
Numbers Quantities Spatial elementsMathematics is a science and one that is constantly evolving to allow us better understand our surroundings.
There are several ways to study the subjects described above such as by applying them to things such as engineering and other sciences, or simply studying them on their own.
In conclusion, math is a science of numbers.
Find out more on mathematics at https://brainly.com/question/14473572.
The table shows the amount of applesauce made from one apple from each size Patrice has 17 medium apples and 23 large apples was the total amount of applesauce that you can make with these apples
Answers
Hope I helped! Have a wonderful day!
Find the value of x and the indicated angles.
Answers
Answer:
x = 33Indicated angles: 126°Step-by-step explanation:
We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.
=> 4x - 6 = 2x + 60=> 4x - 2x = 6 + 60=> 2x = 66=> x = 33Since we have found the required variable, we can now solve the indicated variables.
Given angles:
4(33) - 62(33) + 60Let's solve 4(33) - 6 first.
4(33) - 6132 - 6126Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.
2(33) + 6066 + 60126We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
