Answer:
114
Step-by-step explanation:
The external angle measure is equal to the half of difference between the larger intercepted arc (5x-12) and the smaller intercepted arc (3x)
32 = (5x-12 -3x)/2
combine like terms in parenthesis and multiply both sides by 2
32·2 = 2x-12
multiply 32·2 = 64, and add 12 to both sides
64 + 12 = 2x
add 64+12 = 76, and divide both sides by 2 to isolate x
76/2 = x
38 = x
The measure of arc AB is 3x.
Substitute x for 38
Measure of arc AB = 3x = 3·38 = 114
Help me answer this question about congruent triangles. 50 points available.
Answer:
B
Step-by-step explanation:
No these triangles are not congruent.
Left triangle
Shortest side = 6 cm
Longest side = 13 cm
3rd side = unknown but < 13
Right triangle
Shortest side = 6 cm
Longest side = unknown but > 13
3rd side = 13 cm
Although the shortest side of both triangles is 6 cm, the longest side of the left triangle is 13 cm, whereas the longest side of the right triangle is unknown but will be more than 13 cm.
We do not know if any of the angles are congruent. If they were congruent, we would expect to see this marked by the same angle line(s) on each triangle.
Two rectangles share a common side as shown.
Determine whether each expression can be used to determine the
total area, in square feet, of the two combined rectangles.
ft
Select Yes or No for each expression.
7.52 + 20
o Yes
Ο Νο
*
7.5 ft
x ft
27.5 + 2
Yes
Ο Νο
20 (7.5 + x)
o Yes
Ο Νο
150 + 3
Yes
Ο Νο
202 + 150
O Yes
No
Answer:
yes they are
Step-by-step explanation:
Write a quadratic function f whose zeros are -3
Answer:
x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.
integration of csc^2(9x)dx
[tex]\displaystyle \int csc^2(9x) dx \\\\=\dfrac 19\displaystyle \int \csc^2 u ~du~~~~~~~;\left[\text{Let}~u= 9x \implies dx = \dfrac{du}9\right]\\\\=-\dfrac 19 \cot u + C\\\\=-\dfrac 19 \cot(9x)+C[/tex]
What value of x makes this inequality true?
x - 16 < 43
Answer:
read below
Step-by-step explanation:
x - 16 < 43
there are many values that can make it true
pretty much any number that can have 16 subtracted from it and be less than 43 will work.
or any number less than or equal to 43.
for example:
34-16<43
↓
18 < 43
You place some money in a savings account the savings account earns 2% simple interest. explain how you can find the interest earns after x years.
Chloe has 4 sundaes for her friends. She has 12 8/9 ounces of sprinkles to put equally on the sundaes. How many ounces of sprinkles will be on each sundae?
Answer:
3(2/9) ounces of sprinkles each sundae (3.222222.....)
Step-by-step explanation:
12 divided into 4 = 3 ounces
(8/9)/4 is the same as (8/9) x(1/4) = 8/36 = 2/9
3 ounces and 2/9 ounces
Each sundae will have 3 2/9 ounces of sprinkles on it.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
Chloe has 12 8/9 ounces of sprinkles and 4 sundaes, so she will put 12 8/9 / 4 = 3 2/9 ounces of sprinkles on each sundae.
To break this down, 12 8/9 can be simplified to 12 + 8/9 = 12 + 8/9 = 12 + 4/9 = 12 4/9.
When we divide 12 4/9 by 4, we get 3 2/9.
So each sundae will have 3 2/9 ounces of sprinkles on it.
Learn more about the fraction here:
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A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760 b. 456,976 c. 703,040 d. 1,679,616 Please select the best answer from the choices provided A B C D.
The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We're specified that:
The password needs to be 4 characters longIt must have 3 letters and 1 of 10 special characters.Repetition is allowed.So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).
And that 1 remaining character get 10 ways of being a special character.
So, by product rule, this choice (without ordering) can be done in:
[tex]26 \times 26 \times 26 \times 10 = 175760[/tex] ways.
Now, the password may look like one of those:
L, L, L, SL, L, S, LL, S, L, LS, L, L, Lwhere S shows presence of special character and L shows presence of letter.
Those 175760 ways are available for each of those four ways.
Thus, resultant number of ways this can be done is:
[tex]175760 \times 4 = 703040[/tex]
Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
Learn more about rule of product here:
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Rhys's house had a temperature of 12°C. He put the heating on and the temperature rose by 8°C. As he was still co Rhys decided to light a fire which increased the temperature by a further 13°C. What was the temperature in the hou now?
Answer:
this is very easy.
Step-by-step explanation:
if he started at a temperature of 12, then added 8 and added 13 onto that? the sum of those numbers would be 33. so 33 degrees Celsius
I need help will give 20 points
Answer:
x=136 degrees
Step-by-step explanation:
A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.
I hope this solution was helpful. Happy mathing!
In ΔWXY, y = 8.6 cm, x = 8.5 cm and ∠X=100°. Find all possible values of ∠Y, to the nearest 10th of a degree.
The possible value of ∠Y to the nearest tenth of a degrees in triangle WXY is 85.1 degrees.
How to find angle of a triangle using sine rule
Let's find angle Y using sine rule,
Hence,
x / sin X = y / sin Y
where
x = 8.5 cmy = 8.6 cm∠X = 100°8.5 / sin 100° = 8.6 / sin Y
cross multiply
8.5 sin Y = 8.6 sin 100°
sin Y = 8.6 sin 100° / 8.5
sin Y = 8.4693466759 / 8.5
Y = sin ⁻¹ 0.99639372657
Y = 85.1325941735
∠Y = 85.1°
learn more on triangle here: https://brainly.com/question/23998296
why does no one love me
Sometimes we start to lose faith, in those moments we think that no one loves us when they do, they care about us too. It's just your head messing with you. It's like saying "I'm depressed" but you're really not. it's just that you keep saying is that your brain starts believing it. Most of the time it's you losing faith. Which is completely normal and everyone in their life will once feel that way. That's why people often decide to end life way too soon. They don't know it's only going to last some time. It's going to be hard of course but it will soon have to come to an end, and when it does you will feel free and you will be able to enjoy life the way you are supposed to.
hope that helps.
What fraction is equivalent to four tenths and has a denominator of 100?
Answer:
[tex]\frac{40}{100}[/tex]
Step-by-step explanation:
You can multiply on the upper and bottom part by the same number without changing the fraction so [tex]\frac{4}{10}=\frac{4\cdot 10}{10\cdot 10}=\frac{40}{100}[/tex]
Identify the set as finite or infinite.
{1, (1/4), (1/16), (1/64), ...}
Solve each system by substitution. Show all work.
4x + y = 0
-x - 2y =7
4x + y = 0
-x - 2y =7
with - x - 2y = 7
we have x = -2y - 7
we replace x by this value in the first one
4 * (-2y - 7) + y = 0
- 8y - 28 + y = 0
- 7y = 28
y = 28/(-7)
y = - 4
since 4x + y = 0
we have 4x + (-4) = 0
4x = 4
x = 1
(1 ; -4)
A path of 0.5 meter wide runs round within a square garden of side 15 m.Find it's perimeter ?
Answer:
:))
Step-by-step explanation:
Can someone help me with this please? :)))
Answer:
88
Step-by-step explanation:
86 is 98% of 87.755102040816 which rounded to the nearest whole number is 88.
4. Find the perimeter of the figure below. Use 3.14 for pi.
number answer.
Answer:
90.24 mm
Step-by-step explanation:
Circumference = 2πr
C = 2(3.14)(16)
C = 100.48 mm
Perimeter of the figure = 20 + 20 + 1/2 (circumference)
P = 40 + 1/2 (100.48)
P = 40 + 50.24
P = 90.24 mm
I hope this helps!
What is the distance between the points (8, 12) and (1, 3)? If necessary, round
your answer to two decimal places.
O A. 130 units
B. 11.40 units
C. 12.08 units
D. 146 units
Answer:
B
Step-by-step explanation:
(8,12)=(x1, y1)
(1,3)=(X2, y2)
distance=√(x2-x1)^2+(y2-y1)^2
=√(1-8)^2+(3-12)^2
=√(49+81)
√130
=11.40
Please help me with this equation, add process too. Thanks
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~ ☂
[tex]\qquad \sf \dashrightarrow \: - 0.6(m + 1) = 3[/tex]
[tex]\qquad \sf \dashrightarrow \: - (m + 1) = 3 \div 0.6[/tex]
[tex]\qquad \sf \dashrightarrow \: - (m + 1) = 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - m - 1= 5[/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 5 + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: - m = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: m = - 6[/tex]
I hope it helps ~
What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81
Step-by-step explanation:
We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.
Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.
100 POINTS !!! Find the axis of symmetry and the vertex of the graph of y = 6x2 − 24x + 11. x = 2; (2, −13) x = 4; (4, 11) x = −2; (−2, 83) x = −4; (−4, −11)
Let's see
[tex]\\ \rm\rightarrowtail y=6x^2-25x+11[/tex]
Graph attached
vertex(-2,-13)Axis of symmetry
x=-2Answer:
axis of symmetry: x = 2
vertex: (-2, 13)
Step-by-step explanation:
Given function
[tex]\sf y=6x^2-24x+11[/tex]
Vertex form
[tex]\sf y=a(x-h)^2+k[/tex]
where (h, k) is the vertex
Expand vertex form:
[tex]\sf \implies y=ax^2-2ahx+ah^2+k[/tex]
Compare coefficients of expanded vertex form with given function:
coefficient of [tex]\sf x^2[/tex]:
⇒ a = 6
coefficient of [tex]\sf x[/tex]:
⇒ -2ah = -24
⇒ ah = 12
⇒ 6h = 12
⇒ h = 2
constant:
⇒ [tex]\sf ah^2+k=11[/tex]
⇒ [tex]\sf 6 \cdot 2^2+k=11[/tex]
⇒ [tex]\sf 24+k=11[/tex]
⇒ [tex]\sf k=-13[/tex]
Vertex
Vertex = (2, -13)
Axis of symmetry
Axis of symmetry is when x = h
Therefore, axis of symmetry is x = 2
Help I don't knoz if this is right but I think the answer is d
Explain how to determine if the two expressions are equivalent using x = 6 and x = 10. 8x 40 8(x 5)
The two expressions are equivalent, which gives the same values at x=6 and x=10 when put the values of x and compare them.
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given expressions are,
[tex]8x +40[/tex]
[tex]8(x+ 5)[/tex]
It has to determine if the two expressions are equivalent using x = 6 and x = 10.
The value of the first equation at x=6 are,
[tex]8x +40=8(6)+40\\8x +40=48+40\\8x +40=88[/tex]
The value of the first equation at x=10 are,
[tex]8(10) +40=80+40\\8(10) +40=120[/tex]
Now, the value of the second equation at x=6 are,
[tex]8[(6)+5]=48+40\\8[(6)+5]=88[/tex]
Similarly, the value of the second equation at x=10 are,
[tex]8[(10)+5]=80+40\\8[(10)+5]=120[/tex]
The values of both equation are same at x=10 and x=6.
Hence, to determine, the two expressions are equivalent using x = 6 and x = 10, put the values of x and compare the values.
Learn more about the equivalent expression here;
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Solve the equation for all values of x by completing the square. 5x^2-70x=-230
Solve this ASAP please
Answer:
[tex]x=7 + \sqrt{3}[/tex]
[tex]x=7 - \sqrt{3}[/tex]
Step-by-step explanation:
Given equation:
[tex]5x^2-70x=-230[/tex]
Divide both sides by 5:
[tex]x^2-14x=-46[/tex]
Square half of the coefficient of [tex]x[/tex]: [tex](-14 \div 2)^2=49[/tex]
and add this to both sides:
[tex]x^2-14x+49=-46+49[/tex]
Factor the left side and simplify the right side:
[tex](x-7)^2=3[/tex]
Square root both sides:
[tex]x-7=\pm\sqrt{3}[/tex]
Add 7 to both sides:
[tex]x=7 \pm \sqrt{3}[/tex]
[tex]\sf x=\pm \sqrt{3}+7[/tex]
solving step wise:
[tex]\sf 5x^2-70x=-230[/tex]
divide the following by 5
[tex]\sf x^2-14x=-46[/tex]
completing square
[tex]\sf (x-\dfrac{14}{2})^2-(\dfrac{14}{2})^2 =-46[/tex]
should look like this
[tex]\sf (x-7)^2-49=-46[/tex]
simplify by changing sides
[tex]\sf x-7=\pm \sqrt{3}[/tex]
final answer:
[tex]\sf x=\pm \sqrt{3}+7[/tex]
Use the volume formula to find the volume of the prism
Answer:
B. 9 cubic inches
Step-by-step explanation:
Hey there!
To find the volume of a rectangular prism, you must use the formula:
L * W * H
L is the lengthW is the widthH is the heightTo find the volume we must multiply: 1.5, 4, and 1.5
Let's start!
1.5 * 4 * 1.56 * 1.59The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)
Volume = base area × height
Volume = ( 4 × 1 ½ ) × 1 ½
[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]
[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]
[tex]v = \frac{36}{4} \\ [/tex]
[tex]v = 9[/tex]
Thus C is the correct option.
Have a great day ♡
Scale factor word problem
Someone please help me!
1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.
How many centimeters will there be between his house and school on the map?
1 cm = 5km
8.5 ÷ 5 = 1.7
There will be 1.7 centimeters between his house and school.
In Theresa's first 8 basketball games, she scored 7,4,3,6,8,3,1 and 5 points. In her
ninth game, she scored fewer than 10 points and her points-per-game average for the nine
games was an integer. In her tenth game, she scored fewer than 10 points and her points-per-
game average for the ten games was an integer. What is the product of the number of points
she scored in the ninth and tenth games?
Answer: 40
Step-by-step explanation: The total number of points from the first 8 games is 7+4+3+6+8+3+1+5=37.
We have to make this a multiple of 9 by scoring less than 10 points.
The closest multiple of 9 is 45. 45-37=8.
Now we have to add a number to get a multiple of 10.
The next multiple is 50 we added 5, multiplying these together you get 8 x 5 is 40.
help me pleasseeeee!!
Answer:
-35/91 is the required answer
Hope it helps
make me brainlist
What is the length of side a? Round to the nearest tenth
Answer:
○ [tex]\displaystyle 12,9[/tex]
Step-by-step explanation:
Use the Law of Sines to find the length of the second edge:
Solving for Angles
[tex]\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}[/tex]
Use [tex]\displaystyle sin^{-1}[/tex]towards the end or you will throw your result off!
Solving for Edges
[tex]\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}[/tex]
Let us get to wourk:
[tex]\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}[/tex]
I am joyous to assist you at any time.