Answer:
314
Step-by-step explanation:
d=20
20/2=10
10x10=100
A=pi r2
A=3.14x100
A=314
In triangle XYZ, XY¯¯¯¯¯¯¯¯=15, YZ¯¯¯¯¯¯¯=8, ∡X=(3w−35)°, and ∡Y=52°. In triangle RST, RS¯¯¯¯¯¯¯=15, RT¯¯¯¯¯¯¯=8, ∡R=(w+17)°, and ∡S=52°. Find the angle measure for each of the four angles whose measures are not known.
A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°
B. ∡R=64°, ∡T=64°, ∡X=64°, ∡Z=64°
C. ∡R=35°, ∡T=93°, ∡X=35°, ∡Z=93°
D. ∡R=52°, ∡T=76°, ∡X=52°, ∡Z=76°
Answer:
A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle XYZ, we can find XZ using cosine rule:
[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]
∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
∠X + 52 + 85 = 180
∠X + 137 = 180
∠X = 43°
∠X = 3w - 35
3w - 35 = 43
3w = 78
w = 26
In triangle RST, using sine rule:
∠R = w + 17
∠R = 26 + 17
∠R = 43°
∠R + ∠S + ∠T = 180° (sum of angles in a triangle)
43 + 52 + ∠T = 180
∠T + 95 = 180
∠T = 85°
You have $25.00. You want to buy chocolate for Valentines Day. Each box costs $6.99?Do you have enough money to buy three boxes? Do you have any amount of money leftover? If so, how much?
(Can someone help?)
Answer:
yes and u will have and u will have 0.28 left over
Step-by-step explanation:
25/7=0.28
Can anyone give me the awnser?
Answer:
Step-by-step explanation:
You want to reverse the algebra and solve for y. First you want to subtract the 'a' to both sides.
x - a = -2by^2
Divide by -1 on both sides
-x + a = 2by^2
Divide by 2b on both sides
(-x + a)/2b = y^2
Take the square root of both sides
[tex]\sqrt{(-x+a)/2b}=y[/tex]
Need Help with this please!!
Answer:
A is 85 degrees
Which of these is an example of an overdraft?
A.having $378.12 in your checking account and writing a check for $349.02.
B.having $450.22 in your checking account and writing a check for $462.05.
C.having $183.19 in your checking account and writing a check for $144.43
D.having $556.29 in your checking account and writing a check for $490.77
Answer: B.having $450.22 in your checking account and writing a check for $462.05.
Step-by-step explanation: took the quiz.
What do I do I don’t get it
Answer:
3*sqrt3=sqrt3=3by the power of 1/2
Together, teammates Pedro and Ricky got 2674 base hits last season. Pedro had 284 more hits than Ricky. How many hits did each player have?
do anyone know about this ?
can someone please help me i dont even know
Answer:
just know so please give me a good rating
Solve −6x+6−7=2x+8 for x. How would I solve this?
Answer:
Step-by-step explanation:
−6x+6−7=2x+8
-1-8=2x+6x
8x=-9
x= -[tex]\frac{9}{8}[/tex]
Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.
X= length
Y= width
Answer:
Step-by-step explanation:
If length of the box = x
And width of the box = y
Then perimeter of the box = 2(length + width)
= 2(x + y)
Since, perimeter of the box is less than 30 inches.
2(x + y) < 30
x + y < 15
y < -x + 15
Since, this inequality has a sign of less than, line on the graph will be a dotted line.
y intercept of the dotted line y = 15 (by x = 0)
x intercept of the line x = 15 (by y = 0)
Constraints for the graph will be,
x > 0
y > 0
Now we can plot the dotted line by joining the x and y intercepts.
In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.
Find the area and perimeter. Stuck on this one need help
9514 1404 393
Answer:
area: 114 square unitsperimeter: 44 unitsStep-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
__
The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter
Kimberly has a job to tile a room 14 x 12 ft with 1 ft square tiles. How many tiles Does he need?
There is a guitar that originally costs $249.99. It is on sale for 15% off. You also have to pay 6% sales tax. How much will you pay for the guitar? Please show work!!!
Answer:
225.24099
Step-by-step explanation:
249.99(0.15) = 37.4985
249.99 - 37.4985 = 212.4915
212.4915(0.06) = 12.74949
212.4915 + 12.74949 = 225.24099
the sum of four times a number and seventeen 65. find the the number
Answer:
13 divided by 7
Step-by-step explanation:
Find the product. Write your answer as a decimal 0.01(4.6)(-200) =
Answer:
I believe the answer is -9.2
Step-by-step explanation:
im very confused with how to solve and would like help please
Answer:
(x+1 )- (x-2) ≠ -1
Step-by-step explanation:
What does x equal in the equation 5x-5=7+2x
Answer: x= 4 (simplify the terms)
Answer:
[tex] \fbox{x = 4} [/tex]
Step-by-step explanation:
Simplify the expressions in the equation by applying the properties of equality.
1) [tex] 5x-5=7+2x [/tex]
2)
I need help with this it's with slopes.
Answer:
Yes, Suri and Juan can make the same amount of wages by working the same number of hours in one week.
Step-by-step explanation:
The equation to figure out how many hours they will have to work is:
15x+25=14x+50
x=25
Now that we know that they have to work 25 hours, we substitute that in for x and that equals $400.
please help and please explain how you got the answer, thank you!!
Answer:
327
Step-by-step explanation:
[tex]\frac{(3+9)8}{2} (2)+9(11)+8(11)+3(11)+10(11)=96+88+33+110\\ = 327[/tex]
Answer:
60
Step-by-step explanation:
So we have all four side lengths: 8, 3, 10, and 9. Since there's one diagonal side, the best way to solve this is to split the shape in two. So the area of the first shape would be 24 because 8 x 3 is 24. The other one would be different. The side length is 8, so we multiply 9 by 8 and get 72. But since it's a triangle, we have to divide that by 2. Then we get 36. If you add 36 and 24, you get 60. That would be your area.
Question Help
Writing Ann's car can go 238 miles on 7 gallons of gas. During a drive last weekend, Ann used
8 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes
if you were given the distance Ann drove last weekend instead of how much gas she used.
Answer:
272
Step-by-step explanation:
do 238 divided 7 you get 34 then you multiply it by 8
Given :
Writing lan's car can go 238miles on 7 gallons of gas.
During a drive last weekend, lan used
8 gallons of gas.
To find :-
How far did he drive?
Solution :-
According to Question ,
Car can go 238 mi on 7 gallons of gas.
Using Unitary Method ,
On 1 gallon of gas it will go 238/7 mi
On 8 , it will go 238/7*8= 272miles
Hence the required answer is 272 miles.
Find 18.5% of 500- I couldn’t seem to figure this one out for some reason I dunno
Answer:
92.5
Step-by-step explanation:
18.5
[tex] \frac{18.5}{100} \times 500 \\ \\ [/tex]
100 times 5 is 500
so 100 is cancelled and 500 becomes 5
therefore 18.5 times 5 is equal to 92.5
Answer:
92 1/2 or 92.5
Step-by-step explanation:
how to solve?
Put it into a percent proportion :D!
Percent proportion is is/of=%/100 or a/w=p/100
The a stands for "part"
and the w stands for "whole"
p stands for "percent"
Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.
Since they did NOT give you what the "is" is, you put the variable "a"
a/ =
Next,
Since it said "of"
You put of underneath the unknown number "is" (a)
a/500=
Now put in the percent
a/500=18.5/100
Now cross multiply!
Then you should get 92.5!
HOPE THIS HELPS :DDD
Find Cos b in the triangle
Answer:
3/5
Step-by-step explanation:
SOHCAHTOA
Cos- adjacent/hypotenuse
adjacent side: 3
hypotenuse: 5
adj/hyp: 3/5
Slope rise over run (must be expressed as a fraction) send help plssssssSSS
Answer:
-1/2
Step-by-step explanation:
if you pick any two points on the line, you count how many units up and how many units across. you also have to put your answer in simplest form. the slope is a negative slope since its going downwards from left to right. your answer is -1/2
WILL GIVE BRAINLIEST IF RIGHT
The graph below shows the relationship between the number of miles traveled and the time.
Which statement about the unit rate of the graph is true?
A. The unit rate is 1.
B. The unit rate is 30.
C. The unit rate is 1/12.
D. The unit rate is 12.
Answer:
where are the graphs
Step-by-step explanation:
20 POINTS
Write an equation for the line that is
perpendicular to the x-axis at the point (5,0). What
is the slope of the line?
Answer:
x = 5
Step-by-step explanation:
A perpendicular line that passes through the point (5, 0) is a vertical line in which all points have 5 as their x-coordinate.
The slope is undefined since the slope of all vertical lines is undefines.
Answer: x = 5
Answer:
equation: y = 5
slope is zero
Step-by-step explanation:
What is the volume of the composite figure.Please Help
Answer:
2,304 Inches
(づ￣ ³￣)づhave A nice day
Part 1
Washington, DC, was warmer in February (4.3°F)than in December (44°F). Write an inequality for this relationship.
Answer:
Step-by-step explanation:
4.3 °F > 4 1/4 °F
solve the inequality for x: -2x - 2 - 3
D) x > - 5
Answer:
Step-by-step explanation:
lets solve the inequality by adding like terms
-2x-5>0 ?
-2x>5
x>-5/2
Find the length of side BC.
Give your answer to 3 significant figures.
Answer:
BC ≈ 19.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )
BC × cos71° = 6.3 ( divide both sides by cos71° )
BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 significant figures )