Answer:
120° and 60°
Step-by-step explanation:
The sum of the exterior angle of a polygon is 360°, then
exterior angle = 360° ÷ 3 = 120°
The exterior and interior angle sum to 180°, then
interior angle = 180° - 120° = 60°
11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6
The given expression is :
1:2=3:x
To find,
The value of x.
Solution,
The ratio of LHS is 1:2 or 1/2
It should be same as in RHS.
If x = 6,
Then the ratio becomes :
1:2 = 3:6
or
1:2 = 1:2
Hence, the value of x = 6.
Round 4,368 to the nearest ten
Answer:
4,370
Step-by-step explanation:
If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!
The owner of a health club decides to reduce the $35 membership fee by five dollars what is the approximate percent decrease in the fee
Answer:
14%
Step-by-step explanation:
5/35 = About 0.14
it's c
have a nice day mark me brainlist!
A block of ice has a square top and bottom and rectangular sides. At a certain point in
time, the square top and bottom each have a length of 30 cm, which are decreasing at a
rate of 2 cm/h. At the same time, the height of the ice block is 20 cm and decreasing at
3 cm/h. How fast is the ice melting?
Answer:
[tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Volume of a Rectangular Prism: V = lwhCalculus
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h[/tex]
Step 2: Differentiate
Rewrite [VRP]: [tex]V = l^2h[/tex]Differentiate [Basic Power Rule]: [tex]\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}[/tex]Step 3: Solve for Rate
Substitute: [tex]\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)[/tex]Multiply: [tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.
In the diagram below, what is the ratio of unshaded parts to shaded parts?
4 shaded triangles and 12 unshaded triangles.
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded
Answer:
The answer is D.
Step-by-step explanation:
I hope this helps :D
Which angle(s) is/are congruent? There may be more than one answer
Answer:
if they all have the same angle they r congruent
Step-by-step explanation:
If the point (-1-5) is reflected across
x-axis, whot aro tho coordinates of th
new point? ?
Answer:
-1, 5
Step-by-step explanation:
With the graph, when you switch the x axis, you have to make the additive inverse for the y. If Y, additive the X.
The diagram represents the enlargement of a rectangle by using a scale factor of 6.
A rectangle has a length of 30 feet and width of 6 feet.
What are the dimensions of the original rectangle?
Answer:
lenght of 5 feet and width of 1 feet
Step-by-step explanation:
30/6=5
6/6=1
Answer:
lenght of 5 feet and width of 1 feet
Step-by-step explanation:
30/6=5
6/6=1
Step-by-step explanation: like what that peson said! way to go and good luck on your test!
rewrite in standard form y-2=4/3(x-1)
Answer:
y= 4/3x + 2/3
Step-by-step explanation:
distribute the 4/3 into the parenthesis. Rearrange and solve
Plz helplplpp this is due NOWWW
Answer:
Option 2
Step-by-step explanation:
1/4 is equal to .25 or 25/100
Order the side lengths HI, IK, HJ, IJ, and K J from least to greatest.
Answer:
I think it's IH, IJ, JK, HJ, IK.
Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....
Answer:
0/2 0/5 0/10
Step-by-step explanation:
Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.
If 14 gallon of paint covers 112 of a wall, then how many quarts of paint are needed for the entire wall?
Answer:
168 gallons
Step-by-step explanation:
Correct question;
If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?
If 14 gallon of paint covers 112 of a wall, this can be expressed as;
14 gallons = 1/12 of the wall
x gallons = entire wall (1 wall)
Cross multiply
1/12 * x = 14
x/12 = 14
Multiply both sides by 12
x/12 * 12 = 14*12
x = 168 gallons
Hence 168galons of paints are needed for the entire wall
A drawer contains 12 identical white socks, 18 identical black socks
and 14 identical brown socks. What is the least number of socks you
must choose, without looking, to be certain that you have chosen two socks of the same colour?
Answer:
2 brown
Step-by-step explanation:
The only time you can be so sure you've chosen 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have chosen 2 brown socks you have to choose the 12 white socks and the 18 black socks and only then can you choose 2 brown socks without looking. Therefore, the total number of socks to choose from is:
Total number of socks = 12 white socks + 18 black socks + 2 brown socks
Total number of socks = 32 socks
A total picking of 32 socks is necessary to be sure without looking that 2 brown have already been chosen that way.
The least number of socks must choose, must choose without looking, to be certain that you have chosen two socks of the same color is 4.
What is least number?The least number is "the smallest or lowest number or degree".
According to the question,
A drawer contains 12 identical white socks, 18 identical black socks, and 14 identical brown socks.
In order to find the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same color.
Since, we have only 3 different colors to get pair of one color we need to take 4 socks so that last one must matches color of socks what we have already have in our hand.
Hence, it clearly shows the least number of socks must choose, without looking, to be certain that you have chosen two socks of the same color is 4.
Learn more about Least number here
https://brainly.com/question/16886289
#SPJ2
Please be honest :( I’ll mark u please help
i really need help asap
Answer:
-7=k
Step-by-step explanation:
5k-3k-2=-16
2k-2=-16
2k=-14
k=-7
The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a) Develop the appropriate null and alternative hypotheses. b) Assuming the standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the t-statistic
Answer:
The test statistics is [tex]z = -1[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The null hypothesis is [tex]H_o : \mu = \$30000[/tex]
The alternative hypothesis is [tex]H_a : \mu < \$ 30000[/tex]
The sample mean is [tex]\= x = \$29,750[/tex]
The standard deviation is [tex]\sigma = \$2,500[/tex]
The level of significance is [tex]\alpha =0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }[/tex]
=> [tex]z = \frac{29750 - 30000 }{ \frac{ 2500}{ \sqrt{100} } }[/tex]
=> [tex]z = -1[/tex]
From the desired test, we have that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 30000[/tex]The alternative hypothesis is: [tex]H_1: \mu < 30000[/tex]b) The t-statistic is t = -1.
Item a:
At the null hypothesis, we test if the average starting salary for clerical employees in the state is not less than $30,000, that is:
[tex]H_0: \mu \geq 30000[/tex]
At the alternative hypothesis, it is tested if the salary is less than $30,000, that is:
[tex]H_1: \mu < 30000[/tex]
Item b:
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 29750, \mu = 30000, s = 2500, n = 100[/tex]
Hence, the t-statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{29750 - 30000}{\frac{2500}{\sqrt{100}}}[/tex]
[tex]t = -1[/tex]
The t-statistic is t = -1.
A similar problem is given at https://brainly.com/question/13873630
Find the slope and the y-intercept of the line.
5x - 4y= -16
Write your answers in simplest form.
Step-by-step explanation:
Use the slope-intercept form
y=mx+b
to find the slope m and y-intercept b
Slope: 5/4
y-intercept: (0,-4)
If h(x)= -4x-10, find h(-5).
Answer:
h= −4x−10/x
Step-by-step explanation:
Hay it is meh plz save me
Answer:
The distance is 1/3 :)
Your welcome
Answer:
1/3
Step-by-step explanation:
Hope it helps :)
PLEASE HELP ILL GIVE BRAINLIST
Answer:
A
Step-by-step explanation:
C OR A
Answer:
b
Step-by-step explanation:
Have a nice day!
Mrs. Liang, the librarian, wants to compare the numbers of patrons who prefer e-books to paperback books. She decides to take a poll of every third adult with a child who arrives at the library for one of the four reading groups: toddlers, preschoolers, primary grades, and upper elementary. Which statement is true about her method of data collection?
Answer:
a
Step-by-step explanation:
She surveys adults with a child , preschoolers , Primary students, and upper elementary Students , and these are the majority of all the people that go to the library.
(it was also correct when i took it on Edge(nuiy!)
I hope this helped you a bit!!!!
Answer:
A
Step-by-step explanation:
A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.
Answer:
3261.16
Step-by-step explanation:
r=8.6\%=0.086
r=8.6%=0.086
Move decimal over two places
P=1380
P=1380
Given as the pricipal
t=10
t=10
Given as the time
V=Pe^{rt}
V=Pe
rt
V=1380e^{0.086( 10)}
V=1380e
0.086(10)
Plug in
V=1380e^{0.86}
V=1380e
0.86
Multiply
V=3261.1618\approx 3261.16
V=3261.1618≈3261.16
Amy has an adjusted gross income of $85,600. For the house she is considering buying, her monthly mortgage payment would be $1,711.22, her semi-annual property tax bill would be $3,239, and her annual homeowner’s insurance bill would be $980. She has a credit card bill that averages $500 per month and a $475 car payment. What is her back-end ratio?
Answer:
85,600:6,905.22
Step-by-step explanation:
Someone help me out please
Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.
Solve (set the terms equal to 0):
x-1 = 0 x = 1
x-5 = 0 x = 5
∴ the x-intercepts are (1,0) and (5,0).
The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.
Answer the following question:
Answer:
perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5
How many 2/3 cup servings are in 1½ cups of cheese?
lol I know this but I'm too lazy
Answer:
2.25
Step-by-step explanation:
1.5 / 0.666 (repeating) = 2.25
Answer:
There are 2 one-quarter cup servings in 1 half cup
In 5.25 cups there are 21 one-quarter cup servings
Step-by-step explanation:
So 21 quarter cup servings divided by 2 quarter cup servings per half cup serving will yield the number of half cup servings.
21/2 is 10.5, so there are ten and half, half cup servings in 5.25 cups
If a car needs 5 gallons to go 160 miles how many gallons would it need to go 96 miles
Answer:
3 gallons
Step-by-step explanation:
as u can travel 32 miles on 1 gallon, 32 x 3 = 96 so 1 x 3= 3
Evaluate (1 2/3)^3. A. 3 8/27 B. 4 8/27 C. 4 4/9 D. 4 17/27
Answer:
D. 4 17/27
Step-by-step explanation:
(1 2/3)^3 = (1 + 2/3)^3 = (3/3 + 2/3)^3 = (5/3)^3 = (5 * 5 * 5)/(3 * 3 * 3) = 125/27 = 108/27 + 17/27 = 4 17/27
Answer:
D
Step-by-step explanation:
[tex](1\frac{2}{3})^3\\\\(1+\frac{2}{3})^3\\\\(\frac{3}{3}+\frac{2}{3})^3\\\\(\frac{5}{3})^3\\\\\frac{5^3}{3^3}\\\\\frac{125}{27}\\\\\frac{(27*4)+17}{27}\\\\4\frac{17}{27}[/tex]
Find the product: Negative StartFraction 4 over 9 EndFraction and Negative StartFraction 3 over 8 EndFraction
Negative StartFraction 1 over 9 EndFraction
Negative one-sixth
StartFraction 7 over 17 EndFraction
Answer:
c 1/6
Step-by-step explanation:
been there done that
Answer:
c
Step-by-step explanation:
i just did the test and got it right, hope this helps ^^