Answer:
192°
Step-by-step explanation:
✔️First, find the value of x:
<G + <T = 180° (opposite angles of an inscribed cyclic quadrilateral are supplementary)
12 + 6x + 5x + 14 = 180 (substitution)
Add like terms
11x + 26 = 180
11x = 180 - 26
11x = 154
x = 154/11
x = 14
✔️m<G = ½(m(FH)) (inscribed angle is ½ of the measure of intercepted arc)
Therefore,
m(FH) = 2(m<G)
m(FH) = 2(12 + 6x) (substitution)
Plug in the value of x
m(FH) = 2(12 + 6*14) = 2(12 + 84) = 192°
Sara is making a key chain using the bead design shown.
What fraction of the beads in her design are either red or blue?
pcagm15g560619
What is the equation of the following line written in slope-intercept form?
y = -5x
y = 5x
y = 5/x
Answer:
y=5x
Step-by-step explanation:
first, we know that a rising line's slope is always positive, so the first one is incorrect
let's figure out the slope: y-y'/x-x' is the formula.
now, -5-5/-1-1= -10/-2= 5. so the slope of this line is 5.
the u.s. produces 5.39x 10
The expression of 5.39 × 10⁷ metric tons in standard notation is; 53,900,000 metric tonnes
How to express exponents in standard notation?We are given the quantity of wheat produced each year as 5.39 × 10⁷ metric tons.
Now, that quantity is in exponent form and the way to express it in standard notation is to expand the exponent which gives;
5.39 × 10⁷ = 5.39 * 10 * 10 * 10 * 10 * 10 * 10 * 10
⇒ 5.39 * 10000000
⇒ 53,900,000 metric tonnes
The complete question is;
The U.S. produces 5.39 × 10⁷ metric tons of wheat each year. Express that number in standard notation
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Sara reduced the time it takes her to run a mile from 12 minutes to 8 minutes. Which is closest to Sara's percent decrease in the time it takes her to run a mile?
Answer:
33%
Step-by-step explanation:
Hannah decided to curl up and read a good book. She started reading at 10:00 a.m. and
finished reading at 11:43 a.m. How much time did she spend reading?
Answer:
she spend one hour and 43 minutes reading
Step-by-step explanation:
hope you have a great day kee learning
the sum of two consecutive odd number is 108. find the smaller number
9514 1404 393
Answer:
53
Step-by-step explanation:
Their average is the sum divided by 2: 108/2 = 54. This average is the even number between the two odd numbers of interest.
The smaller number is 53.
Victoria has a jewelry box shaped like a rectangular prism! Please help!!
Answer:
C.
Step-by-step explanation:
Length * width * height = volume
15*9*9 = 1215
Find the solution set of the inequality:
82 + 2 > 34
SOMEONE PLS HELP
Answer:
82+2>34
84>34
True
I hope this helps :)
girlcome 5324611502
p:here
Answer:
what
Step-by-step explanation:
Answer:
im confused
Step-by-step explanation:
please help!!!!!!!!!!!!
Answer:
h = 2 ft
Step-by-step explanation:
V = lwh
144 = (9)*(8)*(h)
144 = (72)*h
h = 144/72
h = 2 ft
The graphs below have the same shape. Complete the equation of the red
graph.
Answer:
Step-by-step explanation:
F(x) = 2 - x²
What is the remainder when P(x)=2x3-3x2-5x-6 is divided by (x-3)
Answer:
remainder = 6
Step-by-step explanation:
Hope it helps.....
Help, please will put brainiest 20 ponits
Answer:
15
Step-by-step explanation:
you would first have to put the numbers into this equation
180=(6x-8)+38+60
now you have to solve for x
180=(6x-8)+98
82=6x-8
100=6x
15=x
x=15
hope this helps! have a nice day :)
Answer:
its c
Step-by-step explanation:
because every angle in a acute triangle has to be less than 90 and the other two look bigger than angle x
ASAP PLEASE HELP!!! How many cubic feet of sand will fill a sandbox with the following dimensions: 6 ft long x .5 ft high x 5 ft wide?
Answer:
15ft³
Step-by-step explanation:
please hurry will mark brainiest
Answer:
Step-by-step explanation:
x(x+8) = 450
x² + 8x - 450 = 0
Quadratic formula:
x = [-8±√(8²-4(1)(-450))]/[2(1)]
= [-8±2√466]/2
= -4±√466
≅ 17.59, -25.59
-25.59 is an extraneous solution, so x ≅ 17.6 inches.
The dimensions of the blackboard are 17.59 inches by 25.59 inches
Sami opened an account with a deposit of $4,000.
• The bank pays 3.5% annual simple interest on this account
• Sami did not make any additional deposits or withdrawals.
How long will it take for Sami to earn $2,100 in interest on this
account?
835.71$
Step-by-step explanation:
is the answer just done it
Which of the following are possible answers you might get when solving a system of equations? Select all that apply
A. One Solution
B. No Solution
C. Infinite Solutions
D. Unique Solutions
Please help! Answer and explanation please!
Answer:
B. 36π in²
Step-by-step explanation:
Given:
Volume = 54π in³
height (h) = 6 in.
Required:
Curved surface area of the can (area for the label needed to wrap around the can without overlapping)
Solution:
First, we need to find the radius (r) of the can.
Volume = πr²h
Plug in the given values and solve for r
54π = π*r²*6
54π = 6π*r²
54π/6π = r²
9 = r²
r = √9
r = 3 in
✔️Find the curved surface area:
Curved surface area = 2πrh
r = 3 in
h = 6 in
Plug in the values
C.S.A = 2*π*3*6
C.S.A = 36π in²
Aubrey is going to invest $160 and leave it in an account for 7 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Aubrey to end up with $220?
Answer:
4.5%
Step-by-step explanation:
compound interest formula:
[tex]PV(1+\frac{i}{n})^{t*n}[/tex]
[tex]220=160(1+\frac{x}{365})^{365*7}\\\\1.375=(1+\frac{x}{365})^{2555}\\1.0001246=1+\frac{x}{365}\\x=.0454962254126[/tex]
this rounds to
x=4.5%
Aubrey would need an interest rate of 6.3%.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
A = P [tex](1 + r/n)^{nt}[/tex]
A = the final amount (in this case, $220)
P = the initial investment (in this case, $160)
r = the interest rate (what we are trying to find)
n = the number of times the interest is compounded per year (since it's compounded daily, n = 365)
t = the time period (in years, in this case, 7)
Substituting in the given values and solving for r:
220 = 160(1 + r/365)^(3657)
220/160 = (1 + r/365)^(3657)
1.375 = (1 + r/365)^2555
ln(1.375) = 2555 ln(1 + r/365)
ln(1 + r/365) = ln(1.375)/2555
1 + r/365 = e^(ln(1.375)/2555)
r/365 = e^(ln(1.375)/2555) - 1
r = 365(e^(ln(1.375)/2555) - 1)
r ≈ 6.3%
Therefore,
Aubrey would need an interest rate of 6.3%.
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Data were collected on annual personal time (in hours) taken by a random sample of 16 women and 7 men employed by a medium sized company. The women took an average of 24.75 hours of personal time per year with a standard deviation of 2.84 hours. The men took an average of 21.89 hours of personal time per year with a standard deviation of 3.29 hours. The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is ________.
Answer:
The correct 90% confidence interval for the difference between women and men in the average number of hours of personal time taken per year is
contained by the interval (0.54 , 5.18)
Step-by-step explanation:
Given that:
for women
sample size = n₁ = 16
sample mean [tex](\bar X_1)[/tex] = 24.75
standard deviation s₁ = 2.84
for men
sample size for men = n₂ = 7
sample mean [tex](\bar X_2)[/tex] = 21.89
standard deviation s₂ = 3.29
degree of freedom = [tex](n_1 + n_2 )-2[/tex]
= 16 + 7 -2
= 21
The critical value for [tex]\alpha = 0.1 \ and \ df \ of \ 21 \ is :[/tex]
[tex]t_{0.005;21}= 1.721[/tex]
The pooled standard deviation can be calculated as follows since the population variances are assumed to be equivalent.
[tex]s_p = \sqrt{\dfrac{(n_1 -1)s_1^2+(n_2-1)s_2^2}{n_1+n_2-2}}[/tex]
[tex]s_p = \sqrt{\dfrac{(16 -1)2.84^2+(7-1)3.29^2}{16+7-2}}[/tex]
[tex]s_p = \sqrt{\dfrac{(15)8.0656+(6)10.8241}{21}}[/tex]
[tex]s_p = 2.976[/tex]
The standard error is estimated as follow:
[tex]se = s_p\sqrt{\dfrac{1}{n_1} + \dfrac{1}{n_2}}[/tex]
[tex]se = 2.976\sqrt{\dfrac{1}{16} + \dfrac{1}{7}}[/tex]
se = 1.348
Finally, the confidence interval [tex]C.I = ( x_1 -x_2 -t_c \times se \ \ ; \ \ x_1-x_2 +t_c \times se)[/tex]
[tex]=(24.75 - 21.89 -1.721 \times 1.348 \ \ , \ \ 2475 - 21.89 + 1.721 \times 1.348) \\ \\ \mathbf{ = (0.54 \ \ , \ \ 5.18)}[/tex]
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP
Step-by-step explanation:
use pythagoras theorem
a squared +b squared =c squared
4.12 squared +8 squared =x squared
16.9744+64=x squared
take the square root of 80.9744
x=9
answer and show proof for brainliest
Answer:
The answer is A
Step-by-step explanation:
A closed circle means the number is included in the equation / solution. An open circle means it is not. The problem says greater than or equal to 36 inches tall which means that circle should be closed. And less than 48 inches. It does not say anything about being equal when it states the 48 inches so that one should be open.
Please help! Needed ASAP!
Answer:
1 bagel $3.5
1muffin $1.25
1ticket$9
1snack$2
Step-by-step explanation:
miffin(y)
bagel(x)
x+3y=7.25
x+2y=6
since x is similar in both equations you cancel it out
subtract this
3y=7.25
2y=6
y=$1.25(price for 1 muffin)since we had 3 muffins it will be 1.25×3=7.25,where you do 7.25 to get 3.5 (price for 1 bagel)question 8:ticket(x)
snack(y)
2x+3y=24×3
3x+4y=35×2
×3 and ×2 so we can eliminate the x
6x+9y=72
6x+8y=70
eliminate x
y=2
so snack is $2
2x+(3×2)=24
24-6=18
18÷2x=9
so a ticket is $9
Find the surface area of the figure. Round to the nearest tenth.
WILL MARK BRAINLIEST!!! PLS HELP THIS IS DUE IN 10 MIN AND PLEASE NO DROP FILES!! :)
Answer:
14 x 6.9 x 8 = 56
Step-by-step explanation:
What is the area of the triangle?
Answer:
30 units²
Step-by-step explanation:
a=1/2 ×length × width
a=1/2 × 12 ×5
a=6×5
a=30units squared
Which graph represents the solution set of the following situation? Andrew is buying fruit for a fruit salad. Bananas cost $1 a pound and oranges cost $2 a pound. He plans to buy at least 10 pounds of fruit and spend no more than $20. Let x represent pounds of bananas and let y represent pounds of oranges..
Answer:
[tex]x + y \ge 10[/tex]
[tex]x + 2y \le 20[/tex]
Step-by-step explanation:
The question is incomplete as the graphs are not shown. So, I will derive the inequalities and plot the graph.
Given
[tex]Banana = \$1[/tex]
[tex]Orange = \$ 2[/tex]
[tex]Purchase = 10lb[/tex] --- At least
[tex]Spedings = \$20[/tex] --- Not more than
And we have:
[tex]x = Banana; y = Orange[/tex]
The number of purchase will be represented as:
[tex]x + y \ge Purchase[/tex] ---- (at least)
[tex]x + y \ge 10[/tex]
The amount spent will be represented as;
[tex]1 * x + 2 * y \le 20[/tex] --- (not more than)
[tex]x + 2y \le 20[/tex]
So, the inequalities are:
[tex]x + y \ge 10[/tex]
[tex]x + 2y \le 20[/tex]
See attachment for graph
A circle passes through the points (3,2) and (7,2) and has radius 2√2. Find the two possible equations for this circle
Answer:
18 because of its addition
Step-by-step explanation:
πr²=3+2+7+2+2+2
=5+9+4
=18
Select all that apply.
Which two rays form ∠ACB?
1. CA
2. AC
3. CB
4. CE
Answer:
The 2 rays the form ACB ARE AC and CB
The length of one edge of a cube is 3 units. What is the volume of this cube in cubic units
Answer:
27 cubic units
Step-by-step explanation:
A cube has equal dimensions. So the volume is 3units × 3units × 3units or 27cubic units
Mr. adhakari deposited a sum of RS 2400 in a bank at 5% per year simple interest. how much interest would he get at the end of 4 year ?
Answer:
Mr. adhakari deposited a sum of RS 2400 in a bank at 5% per year simple interest. how much interest would he get at the end of 4 year ? - 480 rs