To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)
(5-2) · 180 = 3 · 180 = 540.
Now, all we have to do is add up all of the angles:
75 + 126 + 126 + 81 + c = 540
c = 132
In ΔVWX, x = 78 cm, w = 35 cm and ∠W=48°. Find all possible values of ∠X, to the nearest degree.
Answer:
no possible answers
Step-by-step explanation:
V
W
X
w = 35
x = 78
48°
?°
\frac{\sin A}{a}=\frac{\sin B}{b}
a
sinA
=
b
sinB
From the reference sheet (reciprocal version).
\frac{\sin X}{78}=\frac{\sin 48}{35}
78
sinX
=
35
sin48
Plug in values.
\sin X=\frac{78\sin 48}{35}\approx 1.6561513
sinX=
35
78sin48
≈1.6561513
Evaluate.
X=\sin^{-1}(1.6561513)= \text{ERROR}
X=sin
−1
(1.6561513)=ERROR
Sine cannot be greater than 1.
\text{No Possible Triangles}
No Possible Triangles
\{\}
{}
Answer:
no Possible Triangles
Step-by-step explanation:
11. Twelve samples of water form a particular source have an average lead concentration of 12.5µg/L with a standard deviation of 2.0µg/L. 1 (a) Find a 95% confidence interval for the lead concentration in water from this source. (b) Can you conclude that the lead concentration is less than 14µg/L?
Answer:
a) The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.
b) The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.
Step-by-step explanation:
We have the standard deviation for the samples, which mean that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 12 - 1 = 11
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 11 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.201
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.201\frac{2}{\sqrt{12}} = 1.27[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.5 - 1.27 = 11.23 µg/L.
The upper end of the interval is the sample mean added to M. So it is 12.5 + 1.27 = 13.77 µg/L.
The 95% confidence interval for the lead concentration in water from this source is between 11.23 µg/L and 13.77 µg/L.
(b) Can you conclude that the lead concentration is less than 14µg/L?
The upper bound of the confidence interval is less than 14 µg/L, which means that yes, we can conclude that the lead concentration is less than 14µg/L.
Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
CLEAR CHECK
Because Garrick's plant is... than Zan's plant, each millimeter of error results in a ....percent error.
Garrick's measurement was ... millimeters off and Zan's was... millimeters off, so Garrick's measurement was ... % off and Zan's was
Garrick's measurement was 2 mm off. (10 - 8 = 2)
Zan's measurement was 12 mm off. (100 - 88 = 12)
Garrick's percent error was 20% (2 / 10 x 100)
Zan's percent error was 12% (12 / 100 x 100)
Rewrite 0.81 x
104 in scientific notation.
x 10
HELP ME
Answer:
Ok ill help i guess
Step-by-step explanation:
0.81 X 10000
Saj wants to go to all 19 home games at a football club.
For each game, a ticket costs £28
A season ticket
costs £379
and
gives entry to all 19 home games.
In total, how much does Saj save by buying a season ticket?
Answer:
£153
Step-by-step explanation:
If Saji bought a normal ticket for all 19 games, they would have to make 19 payments of £28. So, 28*19 would let us know that he would spend £532 in total. Then it's simply 532-379 to find the answer.
HELP ME Which One Doesn’t Belong?
7.9x
7.9 (-10)
7.9 + x
-79
Answer:
7.9 + x because all the others are equal to.each other
Can I have some help I don't really understand this question.
Answer:
40 square units
Step-by-step explanation:
This is a rhombus, so you multiply the two diagonals and divide by 2.
8x10÷2=40
Find the missing measure in a right triangle if a= 9 ft and b = 12 ft.
Answer:
c = 15 ft
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
c^2 = 225
c = √225
c = 15 ft
The following diagram describes the number of museums in beach is visited by the Santos family while on vacation.
C is the correct answer
The circumference of a circle is 11 pi inches.
What is the area, in square inches, of the circle? Express your answer in terms of pi
9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
someone please help me asnwer this!!
Answer:
5 units is the answer.
Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(8-8)^2 + (9-4)^2}\\\\d=\sqrt{(0\\)^2+(5)^2} \\\\d=\sqrt{25} \\\\d=5 \\\\[/tex]
∴ d = 5 units
What percentage of births occur after day 12?
Answer:
the answer is 20% so good luck
What is the ratio of m and 7 added to 2
Answer:
dndndndndndjdjxndnxnxnxjdjjxxjjddnxnxjjdjdjsjsjs
Step-by-step explanation:
hshshshssjsjznznznznsjshjzzhzh
Please Help
The volume of a cylinder is 81 T cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
O A. 13.5 cm
O B. 27 cm
O C. 4.5 cm
O D. 9 cm
Answer:
Step-by-step explanation:
Volume of a cylinder of radius
r
and height
h
is
π
r
2
h
As radius is
3
and area is
81
π
cubic units,
π
3
2
×
h
=
81
π
or
9
π
×
h
=
81
π
Hence
h
=
81
π
9
π
=
9
Answer:
9 cm
Step-by-step explanation:
Jane's dog is 62 centimeters long. Alan's dog is 33 centimeters long. How
much shorter is Alan's dog than Jane's dog?
Jaheem had $15, but he spent $12 at the
bookstore. Which of the following represents the
amount Jaheem spent?
A. 0.08 or 8%
B. 0.8 or 8%
C. 0.08 or 80%
D. 0.8 or 80%
Which equation could be used to find the dimensions of the rectangle?
solve the equation
3b/7 -1 = 5
Answer:
b = 14
Step-by-step explanation:
The required solution to the equation 3b/7 - 1 = 5 is b = 14.
What is simplification?Simplification involves directions of arithmetic and algebra to remove disproportionate terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
Here,
To solve for b, we need to isolate b on one side of the equation.
First, we add 1 to both sides of the equation to get:
3b/7 = 5 + 1
Simplifying the right-hand side:
3b/7 = 6
Next, we multiply both sides by 7/3:
(7/3) * (3b/7) = (7/3) * 6
Simplifying:
b = 14
Therefore, the solution to the equation 3b/7 - 1 = 5 is b = 14.
Learn more about simplification here:
https://brainly.com/question/12501526
#SP3
Ms. Vasquez's daughter lives 1,650 miles away. Ms. Vasquez won a gift card for 100 gallons of gas. If her car can travel 35 miles on each gallon, can she travel roundtrip to see her daughter on free gas? Explain how you know.
Answer:
yes, since it takes 48 gallons of gas to go one direction to go back it is 96
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.
To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.
Which number sentence is true?
A. 82 < |-82|
B. |-82| < |-83|
C. |-83| < |83|
D. |82| > |-83|
Answer:
Given:
radius = 8
Volume of a sphere = 4/3 * π * r³
V = 4/3 * 3.14 * 8³
V = 1.33 * 3.14 * 512
V = 2,138.21 cubic unit
Step-by-step explanation: Hope This Helped!!
Hi there :D
I am struggling. I will mark brainliest!
Answer:
400.2
Step-by-step explanation:
A = π r l + π r²
l = √r² + h²
Solving for A
A = πr(r+√h² + r² ) = π · 6 · (6 + √14² + 6²) ≈ 400.20522 ≈ 400.2 (1 Decimal Place)
Which fraction is equal to ⅛?
⁴⁄₆ ⁴⁄₃₀ ²⁄₁₆
Answer:
2/16
Step-by-step explanation:
1/8 * 2/2 = 2/16
Answer:
2/16
Step-by-step explanation:
Hope this helped!!!
Find the volume of the cylinder below. Leave your answer in terms of pi.
A student ties a string around a weight and swings the weight in a circle around her body. If the student
represents the Sun and the weight represents
In the year 2003, a person bought a new car for $18500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2005, to the nearest hundred dollars?
Answer:
Step-by-step explanation:
t is the number of years since 2003.
f(t) = $18,500×0.88^t
t = 2 in 2005
f(2) = $18,500×0.88²≅ $14,300
Answer:
$14300.00
Step-by-step explanation:
100 - 12 = 88%
88% = 0.88
$18500 x 0.88² = $14326.40
To the nearest hundread:
$14326.40 = $14300.00
0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.
Hope this helps!
an investment of 12,000 is losing value at a rate of 4% each year. what is the exponential function to model the situation after 9 years
Answer:
Amount after 9 year = 8,310 (Approx.)
Step-by-step explanation:
Given:
Amount invested = 12,000
Rate on decline = 4% per year = 0.04
Number of year = 9
Find:
Amount after 9 year
Computation:
A = P[1+r]ⁿ
A = 12,000[1-0.04]⁹
A = 12,000[0.96]⁹
A = 12,000[0.6925]
Amount after 9 year = 8,310 (Approx.)
Find the slope of the line -2x - 5y = 10
Answer:
-2/5
Step-by-step explanation:
To find the slope of an equation, we first convert the equation into Slope-Intercept Form: y = mx + b, where m is the slope, and b is the y- intercept.
=================================================================
Add 2x to both sides. [Addition Property of Equality]
-2x - 5y = 10
+2x +2x
-------------------
-5y = 2x - 10
Divide -5 on both sides. [Division Property of Equality]
-5y/-5 = 2x/-5 - 10/-5
y = -2/5 x + 2
Comparing to y = mx + b form, we see that our m value, or slope is -2/5
--------------------------------------------------------------------------------------------------------------
m= -2/5
=================================================================
Hope I Helped, have a fantastic day!
-Aadi x
Which answer is correct? If someone is good at math, plz help asap. I Will give out Brainlist to whoever helps me.
Answer:
picture is upside down
Hey I'm back anyone remembers me?
Answer:
It's so sad no one answered saying that they do.
Step-by-step explanation:
Please Help me Due in 2 Mins