Answer:
p ≈ 7.3 m
Step-by-step explanation:
using the Sine Rule in the triangle
[tex]\frac{p}{sinP}[/tex] = [tex]\frac{r}{sinR}[/tex] ( substitute values )
[tex]\frac{p}{sin40}[/tex] = [tex]\frac{10}{sin62}[/tex] ( cross- multiply )
p × sin62° = 10 × sin40° ( divide both sides by sin62° )
p = [tex]\frac{10sin40}{sin62}[/tex] ≈ 7.3 m ( to the nearest tenth )
Answer:
[tex]\fbox {p = 7.3 m}[/tex]
Step-by-step explanation:
Applying the Law of Sines :
[tex]\boxed {\frac{sin R}{PS} = \frac{sin P}{RS}}[/tex]
Substitute the values :
sin 62° / 10 = sin 40° / pp = sin 40° × 10 / sin 62°p = 0.64278761 × 10 / 0.882947593p = 7.3 m (nearest tenth)Maria rents a bicycle while on vacation. It costs a flat fee of $19.95 plus $5.50 an hour. Maria rents it for 4 hours. What is the total cost?
Answer:
36.45
Step-by-step explanation:
5.50 × 3 = 16.5
16.5 + 19.95 = 36.45
sorry if wrong.
hope it helps.
The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1:13−−−√, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4:10−−−√, 9, 8
Answer:
i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.
the answer is then "A"
Step-by-step explanation:
The triangle whose sides are √13, 6, and 7, is a right triangle.
What is the right triangle?A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.
Pythagorean Theorem :The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.
Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,
r² = p² + q².
How to solve this problem?We just check which triangle's sides follow the above theorem.
Option A (Triangle with sides √13, 6, and 7 ):
13 + 36 = 49
i.e. (√13)² + 6² = 7²
This triangle's sides follow the Pythagorean Theorem.
So, the triangle with sides √13, 6, and 7 is a right triangle.
Option B (Triangle with sides 7, 8, and 13 ):
49 + 64 ≠ 169
i.e. 7² + 8² ≠ 13²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides 7, 8, and 13 is not a right triangle.
Option C (Triangle with sides 10, 11, and 12 ):
100 + 121 ≠ 144
i.e. 10² + 11² ≠ 12²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides 10, 11, and 12 is not a right triangle.
Option D (Triangle with sides √10, 9, and 8 ):
10 + 64 ≠ 81
i.e. (√10)² + 8² ≠ 9²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides √10, 9, and 8 is not a right triangle.
Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.
Know more about right triangles here -
https://brainly.com/question/481046
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Find a possible solution to the equation cos(x+2) = sin(3x)
A. x=0.5
B. x=1
C. x=22
D. x=44
Answer: C. x=22
Step-by-step explanation:
cos(22+2)= 0.913545457
sin(3*22)= 0.913545457
So, cos(x+2)=sin(3x)
I need help with B. Do you I think this will mean the end of life on earth?
Please answer ASAP
Answer:
yes
Step-by-step explanation:
A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?
Answer:$ 19.00
Step-by-step explanation:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.
Find the scale factor of the small triangle to the large triangle.
Answer:
scale factor is: 2.25
Step-by-step explanation:
A particular country has 60 total states. If the areas of all 60 states are added and the sum is divided by 60, the result is 187,626 square kilometers. Determine whether this result is a statistic or a parameter.
1. Add the same number to both the numerator and the denominator of
the fraction 7/17, to change it to 3/5.
Answer:
8
Step-by-step explanation:
Let x be the number added to both numerator and denominator.
Initial fraction=7/17
After adding x to both the numerator and the denominator
Then ,we get fraction=3/5
We have to find the value of x.
According to question
[tex]\frac{7+x}{17+x}=\frac{3}{5}[/tex]
[tex]5(7+x)=3(17+x)[/tex]
[tex]35+5x=51+3x[/tex]
[tex]5x-3x=51-35[/tex]
[tex]2x=16[/tex]
[tex]x=\frac{16}{2}=8[/tex]
25 over 50 as a reduced fraction
Answer:
1/2
Step-by-step explanation:
i think that is right
i hope so
have a good day hope that is correct
Answer:
1/2
Step-by-step explanation:
25 is half of 50
Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determine the measure of ALL unknown angles in the figure below.
Answer:
m = 116
x = 24
y = 76
z = 40
Step-by-step explanation:
For startes the interior angles of triangles always add up to 180 degrees.
That means....
73 + 83 + x = 180
z + m + x = 180
z + y + 64 = 180
Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.
So m + 64 = 180
Let's start with 73 + 83 + x = 180
If you add 73 and 83 you get 156
x + 156 = 180 then subtract 156 from both sides and
x = 24
Then use m + 64 = 180 subtract 64 from both sides and
m = 116
z + m + x = 180 become
z + 116 + 24 = 180
Add 116 and 24 and you get 140
z + 140 = 180 subtract 140 from both sides and
z = 40
Check to make sure m + x + z = 180
24 + 40 + 116 = 180
z + y + 64 = 180 becomes
y + 40 + 64 = 180
40 + 64 = 104 so
y + 104 = 180 subtract 104 from both sides and
y = 76
Congratulations you have found all of the angles!
What is the solution to the equation sqrt 2x+3 minus sqrt x+2=2? x =
Answer:
x= 1/4 or 0.25
Answer:
23
Step-by-step explanation:
on edg
Solve the two-step inequality and match the answer to the graph
Answer:
(see below; answers at the bottom)
Step-by-step explanation:
-4x + 7 ≥ 27
-4x ≥ 20
-x ≥ 5
Whenever you multiply or divide by a negative number in an inequality, flip the sign:
x ≤ -5
x/1 - 9 < -10
x - 9 < -10
x < -1
3x - 10 < -25
3x < -15
x < -5
5 (x - 2) > -15
Use Distributive Property:
5x - 10 > -15
5x > -5
x > -1
A) x < -5
So, A) 3x - 10 < -25.
B) x ≤ -5
So, B) -4x + 7 ≥ 27.
C) x < -1
So, C) x/1 - 9 < -10.
D) x > -1
So, D) 5 (x - 2) > -15.
Omg please help it is due in 21 minutes please help me!!!!!
Answer:
Atleast 63
Step-by-step explanation:
Hope that helps!
In the figure above, PQRS is a circle. If PQT and SRT
are straight lines, find the value of x.
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
[tex]m\angle SPQ+m\angle QRS=180^\circ[/tex]
[tex]81^\circ+m\angle QRS=180^\circ[/tex]
[tex]m\angle QRS=180^\circ-81^\circ[/tex]
[tex]m\angle QRS=99^\circ[/tex]
Now, SRT is a straight line.
[tex]m\angle QRT+m\angle QRS=180^\circ[/tex] (Linear pair)
[tex]m\angle QRT+99^\circ=180^\circ[/tex]
[tex]m\angle QRT=180^\circ-99^\circ[/tex]
[tex]m\angle QRT=81^\circ[/tex] ...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
[tex]m\angle PQR=m\angle QRT+m\angle QTR[/tex]
[tex]x=81^\circ+22^\circ[/tex]
[tex]x=103^\circ[/tex]
Therefore, the value of x is 103 degrees.
Susan Carver will purchase a home for $190000. She will use a down payment of 18% and finance the remaining portion at 4.2%, compounded monthly for 30 years
Answer:
$548053.69
Step-by-step explanation:
Cost of home = $190000
Down payment = 18%
Loan amount = (1 - 0.18) * 190000 = $155800
Rate, r = 4.2% = 0.042 ; compounded monthly for 30 years
Using the relation :
A = P(1 + r/n)^nt
n = number of compounding times per period = 12
A = 155800(1 + 0.042/12)^(12 * 30)
A = 155800(1.0035)^360
A = 155800 * 3.5176745
A = 548053.69
Final loan amount = $548053.69
What is the radius of a circle with a circumference of 81.64 feet.
Answer:
Step-by-step explanation:
Your answer
Circumference = 2 * π* r = 81.64
r = 12.99 → 13
Mark it as Brainlist answer. Follow me.
how many odd integers are between -20 and 10?
9514 1404 393
Answer:
15
Step-by-step explanation:
The given range of numbers is -20 to 10, so is 10-(-20)+1 = 31 numbers. Since the end points of the range are both even, there is one more even number than there are odd numbers in the range. The number of odd numbers is ...
(31 -1)/2 = 15
There are 15 odd numbers between -20 and 10.
I’m thinking of a number. When you multiply it by 3 and subtract 10 you will get a number less than 5. Form an inequality and solve it to describe the range of possible numbers
Answer:
[tex]3x-10<5\\x<5[/tex]
Step-by-step explanation:
Let x be equal to the number.
We can use what the question gives us to directly form a mathematical statement. When you multiply it by 3 (3x) and then subtract 10 (3x-10) you will get a number less than 5 (<5). Using this, our mathematical statement would look like this:
[tex]3x-10<5[/tex]
To find the range of possible values, we must solve the inequality and isolate x.
[tex]3x-10<5[/tex]
Add 10 to both sides
[tex]3x-10+10<5+10\\3x<15[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}<\frac{15}{3}\\x<5[/tex]
I hope this helps!
I really need hel, please help
Answer:
1. 3(x-4)-9= 3
3x-12-9=3
3x-21=3
3x=24
x=8
2. x=6
3. x=8
4. x=2
Answer:
Miscellaneous
Step-by-step explanation:
1. Distribute and simplify to get: 3x-12-9 = -3
Then combine like terms to get 3x-21 = -3
Add 21 on both side sto get 3x = 18
divide 3 on both sides to get x=6
2. x+5 = 11
Subtract 5 from both sides to get x = 6
3. 2x-3 = 13
Add 3 to both sides to get 2x = 16
Divide 2 from both sides to get x =8
4. 4(x+2) = 16
Distribute to get 4x+8 = 16
Subtract 8 from both sides to get 4x = 8
Divide 4 from both sides to get x=2
Find the area of parallelogram with base b and height h
b=82.cm
h=16.6cm
area= b*h
82.* 16.6
area= 1361.2 since i dont know the number after the decimal in 82. that was the only answer i could give
I need the point and the slope Y-5=1/2(x+3)
Answer: Slope: 1/2 Point: (0, 3/2)
Step-by-step explanation:
HELP ANSWER FAST!!!!
Answer:D=5,6,7,8 R=5,6,7,8 fuction= yes
Step-by-step explanation:
D = domain which is your X values and R is your range which is your Y values and sense each number of your X values goes to one of the Y values it is a fuction
When is the graph of f (x) = 2x2 – 5x – 3 negative?
9514 1404 393
Answer:
-1/2 < x < 3
Step-by-step explanation:
First you need to find the x-intercepts. Since the leading coefficient is positive, you know the graph is decreasing through the left x-intercept, so will be negative between the x-intercept values.
f(x) = 2x^2 -5x -3
f(x) = 2x^2 -6x +x -3
f(x) = 2x(x -3) +1(x -3)
f(x) = (2x +1)(x -3)
The x-intercepts are the values of x that make these factors zero:
2x +1 = 0 ⇒ x = -1/2
x -3 = 0 ⇒ x = 3
The graph of f(x) is negative on the interval ...
-1/2 < x < 3
What kind of clues do fossils tell about animals that lived long ago?
Answer:
if they start to brown
Step-by-step explanation: They are white if they are new brown if old
Answer:
By studying fossils, we can tell how long life has existed on Earth, and how different plants and animals are related to each other. We can work out how and where they lived, and use this information to find out about ancient environments.
Step-by-step explanation:
ABC is similar to XYZ. The length of AB is 3 inches. The length of BC is 5 inches. The length of YZ is 13 inches. What is the length, in inches of XY
Answer:
7.8
Step-by-step explanation:
PLEASE HELP,, A home decorator is adding new flooring to a living room using the blueprint shown.
image
What are the actual length and width of the living room? Show your work.
A.
7ft, 6ft
B.
14 ft, 10ft
C.
10ft, 8ft
D.
20ft, 16ft
Answer: 20ft, 16ft
Step-by-step explanation:
Because 0.5in=2ft, you would divide the length (5in) and the width (4) both by 0.5. Which give you 10 for the length and 8 for the width. Then you multiply both of those products by 2 and that gives you your answer. 20ft and 16ft. Hope this helps. :)
in the pond were 240 little fish and 90 big fish. what was the ratio of big fish to little fish
Answer:
266.66666667%
Step-by-step explanation:
240 / 90 = 266.666666666667%
What is the difference between the profits Mr. Brown's store earned in the first quarter and the third quarter?
Answer:
Hi we need a picture or a chart.
Step-by-step explanation:
Answer:
2,411.44
Step-by-step explanation:
What is the value of x in the equation 6x + 3 + 4x =
(9 + 10x)?
Enter your answer in the box.
2
TIL
CON
4
6
7
8
CO
9514 1404 393
Answer:
x = 3/10
Step-by-step explanation:
Given
6x +3 +4x = 1/2(9 +10x)
We can collect term, then multiply by 2.
10x + 3 = (1/2)(9 +10x)
20x + 6 = 10x + 9 . . . . . . . multiply by 2
10x = 3 . . . . . . . . . . . . . . . . subtract (6+10x)
x = 3/10 . . . . . . . . . . . . . . . divide by 10
_____
Check
6(3/10) +3 +4(3/10) = (1/2)(9 + 10(3/10))
1.8 + 3 + 1.2 = 1/2(9 +3)
6 = 6 . . . . . solution checks OK
list the 3 square number that end with the digit 9
Answer:
Answer is 9,49,169
Step-by-step explanation:
I hope it's helpful!
Have a nice day!