Answer:
B.) 7 in
Step-by-step explanation:
A regular hexagon can be divided into 6 congruent equilateral triangle. The measure of an angle of an equilateral triangle is 60 deg. The angle formed by sides b and c measures 60 deg.
tan A = opp/adj
tan 60 deg = 12/b
b * tan 60 deg = 12
b = 12/(tan 60 deg)
b = 7 in
The following table shows the possible meal combinations when choosing an entrée and a side dish at Marty's Diner. Side Dish Entrée burger with salad burger with fries burger with fruit tacos with salad tacos with fries tacos with fruit pizza with salad pizza with fries pizza with fruit What is the probability of selecting a combination that includes a burger or a salad? Enter your answer as a reduced fraction, like this: 3/14
Answer:
5/9
Step-by-step explanation:
There are 9 total combinations and 3 of them include a burger, 2 of them that have salad but not a burger. If you add them together it equals 5/9
The probability of selecting a combination that includes a burger or a salad is 5/9
Since the total of 6 outcomes include fries or fruit as the side dish.
There is a total of 9 possible meal combinations. A person must choose an Entree and a side dish.
The Entrees consist of burgers, tacos, and pizzas.
The side dishes consist of salad, fries, and fruit.
To find the number of combinations consisting of fries or fruit, we calculate the individual combinations.
With fries as side dish, which can choose a burger, a pizza or a taco as your Entree.
There are 3 combinations each, there are a total of 6 combinations with fruit or fries as the side dish.
There are 9 total combinations and 3 include a burger, rest 2 that have salad but not a burger.
then probability = 5/9
Learn more about probability here;
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Find the nth term and the 50th term of the sequence. 2,10,18,26 6,11,16,21,26 3,11,19,27,35 1,4,7,10,13 21,24,27,30,33 40,33,26,19,12 33,25,17,9,1
Answer: 756
Step-by-step explanation:
A nut is shaped like a regular hexagon with side lengths of 1 centimeter. Find the value of x . (Hint: A regular hexagon can be divided into six congruent triangles.)
Answer:
x = √3
A complete question related to this found on chegg is stated below:
A nut is shaped like a regular hexagon with side lengths of 1 centimeter. Find the value of x . (Hint: A regular hexagon can be divided into six congruent triangles.)
Find attached the diagram.
Step-by-step explanation:
Side length = 1cm
A regular hexagon has six equal the side length. A line drawn from the center to any vertex will have the same length as any side.
This implies the radius is equal to the side length.
As a result, when lines are drawn from the center to each of the vertex, a
regular hexagon is said to be made of six equilateral triangles.
From the diagram, x = 2× apothem
Apothem is the distance from the center of a regular polygon to the midpoint of a side.
Using Pythagoras theorem, we would get the apothem
Hypotenuse ² = opposite ² + adjacent²
1² = apothem² + (½)²
Apothem = √(1² -(½)²)
= √(1-¼) = √¾
Apothem = ½√3
x = 2× Apothem = 2 × ½√3
x = √3
The value of the length of the hexagon nut [tex]x[/tex] is [tex]\sqrt{3}[/tex]
Given-
A shape of the nut is similar to the regular hexagon.
The side of this hexagon type nut is 1 cm.
Apothem- Apothem is a line drawn from the center of a regular shape to the center of one of its edges. The image below show the apothem of hexagon.The Apothem of a hexagon is half of the length of the hexagon. In order to find the length of the hexagon we have to find the apothegm first.
From the image 2 we can use the Pythagoras theorem to find apothem [tex]a[/tex],
[tex]1^2=a^2+\dfrac{1}{2}[/tex]
simplify this we get,
[tex]a=\dfrac{1}{2} \sqrt{3}[/tex]
Now as apothem is twice the length of the hexagon [tex]x[/tex]. Thus,
[tex]x=a\times2[/tex]
[tex]x=\dfrac{1}{2} \sqrt{3}\times 2[/tex]
[tex]x=\sqrt{3}[/tex]
Thus the value of the length of the hexagon nut [tex]x[/tex] is [tex]\sqrt{3}[/tex]
For more about the hexagon, follow the link below.
https://brainly.com/question/4083236
For the graph y = -8 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your answer with two or more sentences.
Step-by-step explanation:
The slope perpendicular to it is not defined as it goes infinitely in both sides and the slope parallel to it is 0
Answer:
Perpendicular slope: undefined
Parallel slope: zero
Step-by-step explanation:
y = -8 results in a horizontal line crossing -8 on the y-axis, with a slope of zero: 0/-8. A vertical line would be perpendicular and has an undefined slope because 0 is the denominator . A line parallel to y = -8 would be any line with a slope of zero and crosses the y-axis. Parallel lines have the same slope.
Find the three arithmetic means between -4 and 16.
Step-by-step explanation:
let the three arithmetic means is x,yand z
-4,x,y,z,16
we know that common difference is same in A.P
x+4=y-x
2x=y-4 ---------------------(1)
y-x=z-y
2y=z+x ---------------------(2)
z-y=16-z
2z=16+y --------------------(3)
after solving equation (1),(2)and(3) we get
x=1
y=6
z=11
This is a math question. So 1:200 is the distance of a room on a map to real life how much is 4cm? P.S. The answer isn't 800 CAUSE I WROTE THAT AND I GOT IT WRONG
Answer:
8 meter
Step-by-step explanation:
1:200
this equation means for every 1 cm on a map is 200 m in real life
4*200=800 which means equal 8 meter long
Solve for f. -3/4f = 5/4
Answer:
f = -5/3
Step-by-step explanation:
-3/4f = 5/4
Multiply each side by -4/3 to isolate f
-4/3*-3/4f = 5/4*-4/3
f = -5/3
Answer:
Hey there!
We have -3/4f=5/4
Multiply both sides by -4/3, to cancel out the -3/4.
f=-5/3
Hope this helps :)
Pls tell this answer somebody fast
Answer:
x = 2
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Note that 49 = 7² and 343 = 7³
Consider the left side, that is
[tex]\frac{7^{2x+1} }{7^2}[/tex] = [tex]7^{(2x+1-2)}[/tex] = [tex]7^{(2x-1)}[/tex] , thus
[tex]7^{(2x-1)}[/tex] = 7³
Since bases on both sides are equal, equate the exponents, that is
2x - 1 = 3 ( add 1 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
If an image of a triangle is congruent to the pre image what is the scale factor of the dilation
Answer:
1
Step-by-step explanation:
Because the pre image and dilated image are congruent, the scale factor is 1.
turn 0.015 into a fraction
Answer:
15/1000
Step-by-step explanation:
If we move the decimal place 3 to the right, we can see that to get our decimal, we would need to divide by 1000.
Help!!!!! please!!!!!
Answer:
B 120 cubic centimetres
helppp!!!! please!!!
Answer:
72
Step-by-step explanation:
Angle XYZ is an inscribed angle. An inscribed angle is equal to half of its arc.
144/2 is 72.
The value of XYZ is 72.
Twelve less than the product of three and a number is less than 21
Answer:
11
Step-by-step explanation:
3 times 11 gives you 33 which would be the product
3 x 11 = 33
subtract the 12(twelve) from the 33(product)
33 - 12 = 21
Hi, can I have some help with this question please ?
Answer:
x = 67.5 degrees
Step-by-step explanation:
A circles' angles add upto 360 degrees and one of the angle is 90 degrees.
=> x+3x+90 = 360 degrees
=> 4x+90 = 360
=> 4x = 360-90
=> 4x = 270
Dividing both sides by 4
=> x = 67.5 degrees
So, the measure of <x is 67.5 degrees.
Answer:
X= 67.5°Solution,
[tex]x + 3x + 90 = 360[/tex]
( sum of complete turn)
[tex]4x + 90 = 360[/tex]
Subtract 90 on both sides:
[tex]4x + 90 - 90 = 360 - 90[/tex]
[tex]4x = 270 \\ [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{270}{4} \\ x = 67.5[/tex]
Hope this helps...
Good luck on your assignment...
Angle ABC is bisected by line segment AD. If angle ABC measures 108° and one of the smaller angles created by line AD measures (5x+4), what is the value of x?
Answer:
x = 10
Step-by-step explanation:
One of the smaller angles that is created by the angle bisector measures 5x+4.
An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or
2(5x+4)=108 (divide both sides by 1/2)
10x+8=108 (distribute)
10x=100 (subtract 8 from both sides)
x=10 (divide by 10)
x=10
FIRST ANSWER BRAINLEST!!!! The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one point for free throws and two or three points for field goals. They scored a total of 184 points during the game. If they made 22 free throws, how many three-point field goals did they make.
Answer:
They made 36 three-point field goals
Step-by-step explanation:
For free throws , we have one point each.
So here, the total points they made from free throws is 22 * 1 = 22 points
So the number of points made from field goals would be 184-22 = 162 points
So the issue we have now is knowing the number of 3-point field goals that was made.
How can we get this?
Remember they made 85 baskets? so if we subtract the number of free throws, then we can have the number of field throws and that is 85-22 = 63
Now, let the number of 2 points throws be x and the number of 3 points throws be y
From our earlier analysis;
x + y = 63 ••••••••• (i)
Now the total number of three pointers would be 3 * y = 3y and the total number of two pointers would be 2 * x = 2x
Adding both gives a total of 162
Thus;
2x + 3y = 162 •••••••• (ii)
So we have two equations to solve simultaneously.
From equation 1, we can say that;
x = 63-y
Let’s substitute this into equation 2
2(63-y) + 3y = 162
126 -2y + 3y = 162
126+y = 162
y = 162-126
y = 36
This means that they made 36 three-point field goals
Enter the correct answer in the box
A triangle has side lengths of 200 units and 300 units. Write a compound inequality for the range of the possible lengths for the third side, X
Answer:
100-500
Step-by-step explanation:
Both sides of a triangle cannot be shorter than the remaining side. Thus, the side must be less than 500 units. With the same rule, the side must be greater or equal to 100 units, as if it was less, then 200 + 99 < 300.
The compound inequality for the range of the possible lengths for the third side will be 100- 500.
What is inequality?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.
p ≠ q means that p is not equal to qp < q means that p is less than qp > q means that p is greater than qp ≤ q means that p is less than or equal to qp ≥ q means that p is greater than or equal to qGiven:
side lengths of 200 units and 300 units.
The largest value of the third side will be
200+300=500
and, the smallest value will be
300-200=100
Hence, 100<X<500
Learn more about inequality here:
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Please help me! Use the appropiate lines to solve the question 3x+1=10
Answer:
Step-by-step explanation:
3x + 1 = 10
3x = 10 - 1
3x = 9
x = 9/3
x = 3
hope this helps
plz mark as brainliest!!!!
Helppp!!!! please!!!
Answer:
Option B
Step-by-step explanation:
Area of kite = product of 2 diagonals, p and q / 2
here, p = 10 + 10 = 30 feet
q = 3 + 3 = 6 feet
∴ Area = 30 × 6 / 2
90 ft^2
Hope it helps
plz mark as brainliest!!!
Answer:
[tex]\boxed{Area = 90 ft^2}[/tex]
Step-by-step explanation:
Diagonal 1 = p = 3+3 = 6 ft
Diagonal 2 = q = 10+20 = 30 ft
Area = [tex]\frac{pq}{2}[/tex]
Area = [tex]\frac{(6)(30)}{2}[/tex]
Area = 3*30
Area = 90 ft^2
. If $240 is invested at an interest rate of 9% per year and is compounded monthly, how much will the investment be worth in 14 years?
A(14)=240(1+0.09)^14-1
A(14)=240(1.09)^13
A(14)=240(3.065)
A(14)=735.79
Make sure the calculations m
21 POINTS!!!!!!!!!!!!!!!!! HEEEELPPPPPPP
WILL MARK BRAINLIEST
help answer 4-5 please x
Answer:
Step-by-step explanation:
4. A) [tex]\frac{13}{100}[/tex]×79.50 = 10.335
tax=10.335
total cost=79.50+10.335=89.835
B) [tex]\frac{13}{100}[/tex]×189.99=24.6987 = tax
189.99+24.6987=214.6887
5) [tex]\frac{20}{100}[/tex]×544.99=108.998
yes Brittany will have enough money
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
C. It has been stretched horizontally.
Step-by-step explanation:
According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.
The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.
Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.
Hope this helps!
Answer: Option D
Step-by-step explanation
Because
What is the value of j in the equation? sqrt(j) + sqrt(j) + 14 = 3(sqrt(j)) + 10
Answer:
j = 16
Step-by-step explanation:
[tex]\sqrt{j} + \sqrt{j} + 14 = 3\sqrt{j} + 10\\2\sqrt{j} + 14 = 3\sqrt{j} + 10\\3\sqrt{j} - 2\sqrt{j} = 14 - 10\\\sqrt{j} = 4\\[/tex]
Squaring both sides gives;
j = 16
please i know the awnser is 60 but i cant explain it
Answer:
a) 60 degrees
Step-by-step explanation:
b) The triangle shown is an equilateral triangle as all the sides are the same. This means that all the angles are the same as well.
Angles in a triangle add up to 180 degrees. There are 3 angles. Each angle is 60 degrees.
Angle x is an exterior corresponding angle and hence, that is why x = 60 degrees.
hope this helps : )Answer:
All of the measures of the interior angles of an equilateral triangle are 60°. Because x and 60° are alternate interior angles of parallel lines, this means that they are equal, therefore x = 60°.
• A research scientist measures the outside temperature, in degrees Fahrenheit, at various
times throughout a 24-hour period and records her findings in the graph below. In this
real-world function, the hours represent the input values, and the temperature represents
the output values. Use the graph to identify the range of the function. Write your answers
using set notation. Then write a sentence to explain what the range represents in
this function
Answer:
{t|60 <= t <= 85}
Step-by-step explanation:
The temperatures were measures at different times, but does not stop the values being real numbers (i.e. not discrete, or integer values).
So the range of the function is the set of all values between the minimum and maximum measured during the measuring interval (domain) of hours two and twenty-two.
The minimum value = 60F
The maximum value = 85F
So the interval of the range is [60,85], in interval notation.
In set-builder notation, it is
{t|60 <= t <= 85}
Express as a single logarithm. 3log 6x + 5log 6(x - 6)
Answer:
[tex] log(6 {x}^{3} ) + log(6 {(x - 6}^{5} )) [/tex]
[tex] log(6 {x}^{3} ) + log ({6x - 36})^{5} [/tex]
[tex] log(6 {x}^{3} +( {6x - 36}^{5} ))[/tex]
What is the area of the rhombus shown below? AC=17 BD=15 AB=11.2 Answers: A. 255 square units B. 190.4 square units C. 16 square units D. 127.5 square units
Answer:
D. 127.5 square units
Step-by-step explanation:
AC=17
BD=15
AB=11.5
Diagonal (1&2) are given, base of the rhombus is also given.
Height is not given
Area of a rhombus given the diagonals
=1/2×d1×d2
Where,
d1=AC=17
d2=BD=15
Area of a rhombus=1/2×d1×d2
=1/2×17*15
=1/2×255
=127.5
D. 127.5 square units
Answer:
D for sure
Step-by-step explanation:
WILL GIVE BRAINLIEST AND 20 POINTS! What is the correct formula for the value of the determinant? A. ab - cd B. ab + cd C. ad - cb D. ad + cb
Answer:
Option C
Step-by-step explanation:
In the matrix, the determinant is the difference between the opposite elements multiplied.
So, the opposite elements multiplied will give us:
=> ad,bc
The difference is
=> ad-bc
Answer:
ad - cb
Step-by-step explanation:
what is g(k+1)=x^2-4x
Answer:
g(k + 1) = k² - 2k - 3
Step-by-step explanation:
Step 1: Plug in (k + 1) in for x
g(k + 1) = (k + 1)² - 4(k + 1)
Step 2: FOIL
g(k + 1) = k² + 2k + 1 - 4(k + 1)
Step 3: Distribute
g(k + 1) = k² + 2k + 1 - 4k - 4
Step 4: Combine like terms
g(k + 1) = k² - 2k - 3