Answer:
<1 = 65
Step-by-step explanation:
Exterior angle thm:
40 + 3x = 5x - 10
3x - 5x = -10 - 40
-2x = -50
x = 25
5x - 10
5(25) - 10
125 - 10
115
180 - 115
65
Answer:
65
Step-by-step explanation:
The sum of the measures of the angles of a triangle equals 180°.
3x + 40 + m<1 = 180
3x + m<1 = 140
<1 and the angle measuring 5x - 10 are supplementary angles, so the sum of their measure is 180°.
m<1 + 5x - 10 = 180
Solve for m<1 and substitute in equation above.
m<1 = 190 - 5x
3x + 190 - 5x = 140
-2x = -50
x = 25
m<1 = 190 - 5x
m<1 = 190 - 5(25)
m<1 = 190 - 125
m<1 = 65
If the vertex of an isosceles triangle measures 46°, what is the measure of it’s base angles?
Answer:
67°
Step-by-step explanation:
let the base angle=x
x+x+46=180
2x=180-46=134
x=134/2=67
upon receiving your first salary, you deposited 3000 taka monthly in a fund for your future for 18 years. the fund earns 6% interest rate compounded monthly. after 18 years, you want it to make payments at the end of every quarter for five year 4.5% compounded quarterly, what is the amount of each annuity payment to you?
The Annuity payment will be "65,209.35 Taka". A further solution is provided below.
Given:
Monthly payment,
= 3000 Taka
Interest rate,
= 6% (compounded monthly)
Time,
= 18 years
The Future value will be:
→ [tex]FV = PMT\times \frac{((1+r)^{nt}-1)}{r}[/tex]
By putting the values, we get
[tex]=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }[/tex]
[tex]=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }[/tex]
[tex]=1,162,059.58 \ Taka[/tex]
hence,
The Annuity payment will be:
→ [tex]P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}[/tex]
[tex]=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}[/tex]
By substituting all the values, we get
[tex]=65,209.35 \ Taka[/tex]
Thus the correct answer is "65,209.35 Taka".
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PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
C
Step-by-step explanation:
E's coordinates are (-2,-4). When you will reflect the point about y axis, the new coordinates will be (2,-4)
Answer: C (2,-4)
Step-by-step explanation:
1) 4+8r-6r=6+2r
2) 1-3x=-6+7-2x-x
1:-
[tex]\\ \sf \longmapsto 4+8r-6r=6+2r[/tex]
[tex]\\ \sf \longmapsto 4+2r=6+2r[/tex]
[tex]\\ \sf \longmapsto 2r-2r=6-4[/tex]
[tex]\\ \sf \longmapsto 0=2[/tex]
[tex]\\ \sf \longmapsto r=\infty[/tex]
2:-
[tex]\\ \sf \longmapsto 1-3x=-6+7-2x-x[/tex]
[tex]\\ \sf \longmapsto 1-3x=1-3x[/tex]
[tex]\\ \sf \longmapsto 0=0[/tex]
[tex]\\ \sf \longmapsto x=\infty[/tex]
What is the measure of m?
6
3
18
n
m =
=
[?]
Answer:
6/n = n/18
n^2 = 108
n = sqrt 108
a^2 + b^2 = c^2
36 + 108 = m^2
144 = m^2
m=12
Let me know if this helps!
round to the nearest place value shown
The number has 2022 digits 7 when divided by 15, what is the decimal part of the quotient?
Answer:
7 is divided by 15 =0•4666666667
Consider the following polynomial expression: 4x5 - 16x2 + 13x8.
Part D: what is the leading term ?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]13x^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]4x^5 - 16x^2 + 13x^8[/tex]
The leading term contains the highest power of 'x'.Since 8 is greater than 5 and 2, the leading term in the give in polynomial would be [tex]13x^8[/tex].⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A trapezoid is a polygon that has exactly one pair of parallel sides.
Select one:
True
False
false dsddsfsdfsfdfdsfdsdfsdfsdsfdfsfdsdfsdfsdfsfdsfd
this geometric sequence?
What is the explicit formula for
8, 4, 2, 1, ...
Answer:
D
Step-by-step explanation:
the first term is 8, the ratio is 1/2 ( 8*1/2 = 4, 4*1/2 = 2, 2*1/2 = 1)
the formula for an explicit geometric formula is :
[tex]a_{n} = a_{1} * r^{(n-1)}[/tex]
plug in your numbers :
[tex]a_{n} = 8 * (\frac{1}{2}) ^{(n-1)}[/tex]
The triangle below is equilateral. Find the length of side x in simplest radical form
with a rational denominator.
12
Answer:
4sqrt(3)
Step-by-step explanation:
If the triangle is equilateral, the hypotenuse is 2x
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + 12^2 = (2x)^2
x^2 + 144 = 4x^2
144 = 4x^2 -x^2
144 = 3x^2
48 = x^2
Taking the square root of each side
sqrt(48) = sqrt(x^2)
sqrt(16*3) = x
4 sqrt(3) =x
Please help its due in 30 minutes will mark braniliest
Answer:
Step-by-step explanation:
It's a ray. A ray has 1 fixed point. The other end of the ray goes on forever, just as this diagram shows.
-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answer:
0.5013415404
Step-by-step explanation:
simplify : 2(3+a)+4=36
Solve for x. Round your answer to the nearest tenth if necessary.
X=
Answer:
7.2
Step-by-step explanation:
Since the angle is equal, 24/(x+8.7)=13.1/8.7. x=7.2
Answer:
x ≈ 7.2
Step-by-step explanation:
Δ MNO and Δ MKL are similar, so the corresponding sides are in proportion, that is
[tex]\frac{MN}{MK}[/tex] = [tex]\frac{MO}{ML}[/tex] , substitute values
[tex]\frac{13.1}{13.1+10.9}[/tex] = [tex]\frac{8.7}{8.7 +x}[/tex]
[tex]\frac{13.1}{24}[/tex] = [tex]\frac{8.7}{8.7+x}[/tex] ( cross- multiply )
13.1(8.7 + x) = 208.8 ← distribute left side
113.97 + 13.1x = 208.8 ( subtract 113.97 from both sides )
13.1x = 94.83 ( divide both sides by 13.1 )
x = [tex]\frac{94.83}{13.1}[/tex] ≈ 7.2 ( to the nearest tenth )
PLZ ANSWER QUICK
Forest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table.
Answer: Answer is in the image below.
Step-by-step explanation:
Is -√15 an imaginary or irrational number?
Answer:
irrational
[tex]\sqrt{-15}[/tex] would be imaginary
Step-by-step explanation:
Hey there! I'm happy to help!
An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.
An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is i, and here is the thing it does that breaks the rules and makes it imaginary:
i²=-1
so
√-1=i
We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.
We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....
Have a wonderful day and keep on learning :)
Cylinder A has a radius x and height y. Cylinder B has radius y and height x. What is the ratio of the volume of Cylinder A to the volume of cylinder B
Answer:
Step-by-step explanation:
Draco is a daddy’s boy
.......plz answer it plz
Answer:
a: x=90 b: x=45 y=45 c: y=68 x=68
Someone help me with this
Answer:
(6,-3) and 5
Step-by-step explanation:
Compare it to the standard equation of circle and we will get center is (6,-3) and radius=5
Find the ratio of 5 degree and (pi/6)^c
Write a function rule for table
Is it a, b, c or d?
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table
m = [tex]\frac{5-4}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 3 ) → c = 3
y = x + 3 ← equation of line → A
[tex]\sqrt{x - 5} - \sqrt{3 - 2.x} = 0[/tex]
Answer:
x = 8/3
Step-by-step explanation:
Copy the right side of the given to the right side of the equation.
sqrt(x - 5) = sqrt(3 - 2x) Square both sides.
x - 5 = 3 - 2x Add 2x to both sides
2x + x - 5 = 3 Combine
3x - 5 = 3 Add 5 to both sides.
3x = 3 + 5 Combine
3x = 8 Divide by 3
x = 8/3
The number of dogs a family has and the amount of floor cleaner used are known to have a strong positive association. Jaylen concluded that the number of dogs causes an increase in floor cleaner usage. Is Jaylen's conclusion valid? Explain.
Answer:
Jaylen's conclusion is not valid because association does not imply causation.
Step-by-step explanation:
Geometry, please answer question ASAP
Answer:
x = 60
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360 degrees.
So if we sum up all the given angles, we would get this equation:
2x + x + 90 + 90 = 360
which simplifies to
3x + 180 = 360
subtract 180 from both sides
3x = 180
divide both sides by 3
x = 60
Answer:
Below!
Step-by-step explanation:
Since all angles in this shape add up to 360, I used this formula to find x
360 = 90 + 90 + x + 2x
360 = 180 + 3x
180 = 3x
Divide both sides by 3
60 = x
You can check to see if this works
90 + 90 + 60 + 120 = 360
Hope this helps!
13) Stephanie is making lasagna for a party. The recipe uses 1 1/2 teaspoons of basil, teaspoons of salt, teaspoons of
pepper and 2/4 teaspoons of salt, 1/8 teaspoons of pepper and 4 teaspoons of parsley.If she needs to make 1.5 times the recipe, how many teaspoons will she use of each
ingredient? How many teaspoons will she use in total (when she combines all of the ingredients)? Show all of your
work.
Answer:
10.875 total, 1.5 times each are below.
Step-by-step explanation:
1.5 (1 1/2) x 1.5 = 2.25
0.5 (2/4) x 1.5 = 0.75
0.125 (1/8) x 1.5 = 1.875
4 x 1.5 = 6
2.25 + 0.75 + 1.875 + 6 = 10.875 total
To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample
Answer:
The answer is "Option b".
Step-by-step explanation:
The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.
Enter the repeating digit.
Answer:
Does the answer help you?
Answer:
6
Step-by-step explanation:
Dividing 2 by 3 gives you a repeating decimal of 0.6666...
Answer this please and the first person to do it will get Branilest !! Don’t forget to explain
Answer:
[tex]3g + 9g = - 48 \\ 12g = - 48 \\ g = - \frac{48}{12} \\ g = - 4 \\ \\ - 4m - 6m - 30 = - 80 \\ - 4m - 6m = - 80 + 30 \\ - 10m = - 110 \\ m = \frac{ - 110}{ - 10} \\ m = 11 \\ \\ 12 = - 8n - 24 - 4n \\ 12 + 24 = - 8n - 4n \\ 36 = - 12n \\ n = \frac{36}{ - 12} \\ n = - 3 \\ \\ 5y + 2y + \frac{1}{2} = - \frac{1}{2 } \\ 5y + 2y = - \frac{1}{2} - \frac{1}{2} \\ 7y = - 1 \\ y = - \frac{1}{7} \\ \\ 22x + 0.25 - 16x = 0.85 \\ 22x - 16x = 0.85 - 0.25 \\ 6x = 0.6 \\ x = \frac{0.6}{6} \\ x = 0.1 \\ \\ 17k + 6k + 11 = 80 \\ 17k + 6k = 80 - 11 \\ 23k = 69 \\ k = 3[/tex]
Which possible buffet prices could Noah could charge and still maintain the restaurant owner’s revenue requirements?
Select the correct prices in the table.
$12 $13 $14 $15
Answer:
The answer is actually 12 and 13.
Step-by-step explanation:
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
The possible buffet prices could noah could charge and still maintain the restaurant owner’s revenue requirements is actually 12 and 13.
We have given that the table,
What is the prices?Pricing is the process whereby a business sets the price at which it will sell its products and services, and may be part of the business's marketing plan.
You have to plug the number in to see what is greater than or equal to 130. 12 is equal to 160, so 12 works. 13.00 is equal to 130. 14 is equal to 112 and 15 is 90.
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