Answer:
60 degrees
Step-by-step explanation:
This is an equilateral triangle. Each angle has the same measure. There are three angles. So: 180 ÷ 3 = 60.
Answer:
60
Step-by-step explanation:
The figure shown is a triangle
To be more specific an equilateral triangle.
We know that this is an equilateral triangle because all of the side lengths are congruent ( indicated by the little mark on each side ) and if each side length is congruent then each angle is congruent.
Because the sum of the angles in a triangle adds up to equal 180 we can simply find the measure of each angle by dividing 180 by 3
180/3=60
so every angle = 60 degrees
Therefore your answer is 60
URGENT PLEASE GET THIS QUICKLY PLEASE
If f(x)= 2x+7, find f(2)=
Answer:
21
Step-by-step explanation:
2(2) +7
14+7
21
Answer:
11
Step-by-step explanation:
HURRYY!!!
Beginning with Rodney’s first month of high school, his father deposits $5 into Rodney’s savings account. Each month after the first month, his father deposits $2 more than the previous month. The total amount deposited in Rodney’s account after four years can be represented using the expression . How much total money has been deposited?
$2,496
$2,544
$2,640
$2,688
Answer:
A
Step-by-step explanation:
Edge 2021
The sum of the 48 terms will be $2,496. Then the correct option is A.
What is the arithmetic sum of sequence?Let a₁ be the first term, n the number of the terms, and l be the last term of the sequence.
Then the sum of all the terms will be given as,
S = [n (a₁ + l )] / 2
Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
[tex]\rm a_n = a_1 + (n - 1)d[/tex]
Beginning with Rodney’s first month of high school, his father deposits $5 into Rodney’s savings account.
Each month after the first month, his father deposits $2 more than the previous month.
Then the first term is $5 and the common difference is $2.
The total amount deposited in Rodney’s account after four years can be represented using the expression.
Then the total number of the terms will be
n = 4 x 12
n = 48 months
Then the 48th term of the sequence will be
a₄₈ = 5 + (48 – 1) · 2
a₄₈ = 5 + 47 · 2
a₄₈ = 5 + 94
a₄₈ = 99
Then the sum of the 48 terms will be
S = 48 (5 + 99) / 2
S = 24 × 104
S = $2,496
Then the correct option is A.
More about the arithmetic sum of sequence link is given below.
https://brainly.com/question/14021449
#SPJ5
A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation.
Using this equation, find out the time at which the rocket will reach its
max, to the nearest 100th of a second.
y = 16x^2+ 238x + 81
Answer: 7.44
Step-by-step explanation: DeltaMath
I need help please! DON'T USE LINKS! WILL BE REPORTED
9514 1404 393
Answer:
222 cm²
Step-by-step explanation:
The surface area can be found using the formula ...
A = 2(LW +H(L+W))
To minimize fraction nonsense, we'll let H be the fraction.
A = 2(12·8 +(3/4)(12 +8)) = 2(96 +15) = 222
The surface area of the prism is 222 square centimeters.
A teacher places 10 marbles in a bag.
- 2 blue marbles
- 3 red marbles
- 5 yellow marbles
A student draws one marble from the bag, does not replace it, then draws another marble from the bag. What is the probability that the first marble will be yellow and the second marble will be red?
Step-by-step explanation:
Since they do not replace it the total amount of marbles are the same
Which equation represents exponential decay?
a) y=0.5x3
b) y=0.5x2 - x
c) y=0.5(1.07) dy=0.5(0.87)*
The radius of a circle is 7 miles. What is the circle's area?
Use 3.14 for .
Answer:
A≈153.94mi²
Step-by-step explanation:
A = πr2 = π · 72 ≈ 153.93804mi²
How do you find 3/4 of 20
Fast response please!!
Answer:
15
Step-by-step explanation:
3/4(20/1) = (3*20)/(4*1)
60/4
15
there is a line that includes the point (2,2) and has a slope of 3. What is its equation in slope intercept form?
Answer:
y = 3x - 4
Step-by-step explanation:
y = 3x + b
2 = 3(2) + b
2 = 6 + b
-4 = b
y = 3x - 4
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
PLEASE HELP! NO LINKS OR I WILL REPORT!! I SUCK AT ALGEBRA
Answer:
-5 and 3
Step-by-step explanation:
(-(-2) +/- √(4- (4(1)(-15))) ÷ 2
(2 +/- √64 )÷ 2
(-2+8) ÷ 2 = 3
(-2 -8) ÷ 2 = -5
What is order of operation?Explain.
Answer:The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-step explanation:Using PEMDAS which means (Parenthesis, Exponts, Mutliply, Divide, Add, and Subtract) The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
HELP ASAP PLSS (NO LINKS OR ILL REPORT)
Answer:
C is correct.
Step-by-step explanation:
I took this test.
Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?
Answer:
18 sharpened pencils
Step-by-step explanation:
Total = 30 pencils
100% = 30 pencils
1% = 30 ÷ 100 = 0.30
60% = 0.30 x 60 = 18
Answer:
18 sharpened pencils
Step-by-step explanation:
the percent 3/5 can be multiplied by 6 to give u 18/30
At a school, 133 students play at least one sport. This is 35 % of the students at the school. How many students are at the school?
Answer:
380 students
Step-by-step explanation:
133 = 35%
[tex]\frac{133}{35}[/tex] = 1%
3.8 = 1%
3.8 * 100
= 380
please help HEYMLMUM
Answer:
A.
Step-by-step explanation:
Which expression represents the difference of (6x - 5) - (-x - 4)?
(6x-5)-(-x-4)
6x-5=x+4
6x-x=4+5
5x=9
-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?
add -7x to the other side so the equation is
y=7x-2
slope is 7
y-int is -2
HELP ANWSER ASAP PLEASE
Answer:
[tex] \boxed{x = 45°} [/tex]
Step-by-step explanation:
When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.
To determine the angle of the arc, we must apply this geometric rule:
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].
Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →
[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →
[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
[Given]
[tex] \overset{\frown}{BA} = x° [/tex]
[tex] \overset{\frown}{CD} = 99° [/tex]
[tex] Angle \: formed \: by \: chords \: = 72° [/tex]
→
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
→
[tex] x° = 2 × 72° \: – \: 99° [/tex]
[tex] x° = (2 × 72°) \: – \: 99° [/tex]
[tex] x° = 144° \: – \: 99° [/tex]
[tex] \boxed{x° = 45°} [/tex]
Can someone help me with these questions?
6m+5=m+20 pls help now
Answer:
m = 3
Step-by-step explanation:
Answer:
m = 3
Step-by-step explanation:
6m + 5 = m + 20
6m + 5 - 5 = m + 20 - 5
6m = m + 15
6m - m = m - m + 15
5m = 15
5m ÷ 5 = 15 ÷ 5
m = 3
Which function g(x) or f(x) has the equation y=x^2-4
Answer:
f x
Step-by-step explanation:
the equqtion's y intercept is -4 , and f (x) has that intercept
Answer:
f(x)
Step-by-step explanation:
The equation says -4 meaning that it moved down 4 spaces on the y-axis.
The sum of 10 and twice a number
(an equation)
Answer:
10+2x= the sum (anything could be put here)
Step-by-step explanation:
Well sum is automatically addition
Doubleing a number is basically multiplying it by 2
so
10+2x= whatever youw ant to put here
a. The sum of two numbers is 22 and their difference is 14.
i. Form the simultaneous equations.
ii. Find the two numbers.
a recipe uses 10 cups of flour. you can only measure using 2/3 cups.
How many 2/3 cups are needed for the recipe?
Ok so I am not exactly sure if you want to know how many whole cups can be added or simply how many 2/3 cups make up 10, but heres what I found.
So to find how many 2/3 is in 10 cups you simply have to divide
10/(2/3) = 15
So 10 cups of flour is 15 (2/3) cups of flour.
Hope this helps :)
weight of sheep,in pounds, at the Southdown sheep farm:
what is the range of weights of the sheep?
plz anwser asap I'm being timed
Answer: 170
Step-by-step explanation:
275-105
The radius of a circle measures 11cm. what is the circumference of the circle?
Answer:
C = 69.08
Step-by-step explanation:
C = 2πr
C = 22π or 69.08
help please ! I dont understand this question
Answer:
x = 4
Step-by-step explanation:
all angles in triangle add to 180
90+70=160
180-160=20
20÷5=4
Which is the value of this expression when j = 2 and k = 1?
Answer:5
Step-by-step explanation:
Just cuz
Answer: -64 or A
Step--by-step explanation:
PLSSS HELPPP ME ,Plssss
Answer:
It has 2 layers and 20 unit cubes on each layer
Step-by-step explanation: