Answer:
height ≈ 11.9 units
Step-by-step explanation:
Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.
Using the sine ratio in one of these right triangles, then
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] ( the opposite is the height h )
sin48° = [tex]\frac{h}{16}[/tex] ( multiply both sides by 16 )
16 × sin48° = h , thus
h ≈ 11.9 ( to the nearest tenth )
Find the next three terms of the arithmetic sequence 5, 9, 13, 17, … .
Question 9 options:
a)
21, 23, 25
b)
41, 45, 49
c)
21, 41, 61
d)
21, 25, 29
The next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
Given that,
The given arithmetic sequence is 5, 9, 13, 17.We need to find the next three terms.Based on the above information, we can see that
There is the addition of 4 in each next number i.e.
5 + 4 = 9
9 + 4 = 13
13 + 4 = 17
17 + 4 = 21
21 + 4 = 25
25 + 4 = 29
Therefore, the option d is correct
Hence, the other options are incorrect.
Therefore we can conclude that the next three terms of the arithmetic sequence 5, 9, 13, 17 is 21, 25, 29.
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Here is a picture of a Ferris wheel. It has a diameter of 80 meters.
About how far does a rider travel in one complete rotation around the Ferris wheel? Round your answer to the nearest whole number. Use 3.14 for π.
Enter your answer in the box below.
_____ meters
Answer:
251.2 m
Step-by-step explanation:
Circumference = 2 x π x r
C = 2 x 3.14 x 40
C = 251.2
Circumference of a circle
The path or the boundary that encircles any shape is defined by its circumference. In other words, the perimeter is another name for the circumference, which makes it easier to determine how long a shape's outline is. The circle's perimeter is measured in this way. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it.
We take radius of the circle and pi to calculate the circumference of circle.
The formula of circumference of circle is 2πr.
R is radius of the circle and π is mathemetical constant which value approx 3.14
In the question it is given that the diameter of a wheel is 80m. So, radius is half of diameter, 40m.
So, the circumference = 2πr
= 2 × 3.14 × 40 = 251.2m
Rider has to travel 251.2m to cover one complete rotation.
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Three of the vertices of a trapezoid are A(3,-3), B(12, 6) and C(4,8). The fourth vertex is labeled D. One of its bases is AB
What is the equation of the line that includes base CD?
Answer:
y = x + 4
I graphed all the points, and the line that goes through AB is y = x - 6. The bases of a trapezoid are parallel, so the slope on the line CD has to be the same. I graphed the point C and just tried different y-intercepts to see which line would go through C.
Jerry has taken a random sample of students and determined the number of electives that each student in his sample took last year. There were 19 students in the sample. Here is the data on the number of electives the 19 students took: 6, 6, 8, 7, 7, 7, 8, 9, 10, 8, 7, 6, 9, 6, 8, 7, 9, 7, 10. The mean of this sample data is 7.63.
Answer:
10/19
Step-by-step explanation:
count how many is under 7.63
a toy car can go 3 mph. How long would it take to go 4 mph
Answer:
1 hour
Step-by-step explanation:
mph means miles per hour so in 1 mile it would be 1 hour
I put in 6.32 for A but it’s still saying it’s wrong and I need the √ , I only need to answer this right to pass my summer school class someone please help me !
Answer:
Value of blank 1 is 2
Value of blank 2 is 10
Step-by-step explanation:
We are given that a and b are the lengths of legs of right angle in right angled triangle .
b = 3
We are also given that c is the hypotenuse
c = hypotenuse = 7
To find the value of 'a' we will use Pythagoras theorem
[tex]Hypotenuse^2 = perpendicular^2 +base^2\\c^2=a^2+b^2\\7^2=a^2+3^2\\7^2-3^2=a^2\\\sqrt{7^2-3^2}=a\\\sqrt{40}=a\\2\sqrt{10}=a\\[/tex]
Value of blank 1 is 2
Value of blank 2 is 10
How many squares make up the surface of a cube?
O A. Seven
O B. Five
O C. Six
D. Eight
How many squares make up the surface of a cube?
O A. Seven
O B. Five
● C. Six
D. Eight
Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed
8x/7=8
X=?
Answer:
Step-by-step explanation:
[tex]\frac{8x}{7}=8[/tex]
Multiply both sides by 7
[tex]7*\frac{8x}{7}=8*7\\\\8x=8*7\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{8*7}{8}\\[/tex]
x = 7
Answer:
-The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]\frac{8x}{7} = 8[/tex]
-Multiply both sides by the denominator, which is [tex]7[/tex]:
[tex]7\cdot \frac{8x}{7} = 8 \cdot 7[/tex]
[tex]8x = 56[/tex]
-Divide both sides by 8:
[tex]\frac{8x}{8} = \frac{56}{8}[/tex]
[tex]x = 7[/tex]
So, the value of [tex]x[/tex], would be [tex]x = 7[/tex].
2 root 2 minus root 2
Answer:
√ 2 or in decimal form 1.4
Have a nice day! :)
plz help with this question
Answer:
3cm ,4cm,5cm,and 8 centimetres
Write the set using roster notation: The set of even natural numbers less than 10.
Answer:
A={2,4,6,8}
Let the set be A
Even numbers are those numbers which can be divided by 2.
hope it helps
Good luck on your assignment
Answer:
A={2,4,6,8}Step-by-step explanation:
Let the set be A
even numbers means the numbers can be divide by 2
but they said that it has to be less than 10
Now, let's create the set
[tex]a = {2 \: \: 4 \: \: 6 \: \: 8 \: \: } [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Help somebody please
Answer:
[tex]62[/tex]
Step-by-step explanation:
[tex]2x^2+15x-1[/tex]
[tex]2(3)^2+15(3)-1[/tex]
[tex]2(9)+15(3)-1[/tex]
[tex]18+45-1[/tex]
[tex]=62[/tex]
[tex]answer \\ = 62 \\ solution \\ x = 3 \\ 2 {x}^{2} + 15x - 1 \\ = 2 {(3)}^{2} + 15 \times 3 - 1 \\ = 2 \times 9 + 45 - 1 \\ = 18 + 45 - 1 \\ = 63 - 1 \\ = 62 \\ hope \: it \: helps[/tex]
18
What is the value of y?
10
2y + 4
10 + 2x
5
Step-by-step explanation:
8
ahhdhdvab ah a. b b b n n bk.
Pls help me to solve this
Answer:
see below
Step-by-step explanation:
19-3 will be greater
We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1
18-3 = 16
1/2 * (19-3)
Using PEMDAS
We do parentheses first
1/2 ( 16)
Then multiply
8
Jason has two pairs of pants, four shirts, and two pairs of shoes from which to choose to wear to school. How many possible outcomes does Jason have? A. 2 B. 4 C. 8 D. 16
Answer:
16 as 2 x 4 x 2 = 16
Step-by-step explanation:
just like on a dice we have 2 dice and 36 outcomes we multiply 6 x 6 to find it answers 36.
With Jason's outcomes he has 2 x 4 x 2 = 16
Answer:
16
Step-by-step explanation:
2 pants * 4 shirts * 2 shoes = 16
please mark me brainliest :)
Do 4/ A,B for 11 points.
Answer:
Look at the picture.
Step-by-step explanation:
Always remember to isolate than divide/multiply
If an event is likely to occur, which of the following best describes the probability that the event will occur?
A) The probability is between 0 and 1/4
B) The probability is between 1/4 and 1/2
C) The probability isn’t between 1/2 and 3/4
D) The probability is between 3/4 and 1
Answer:
C bc I believe u made a spelling error if not, D
Step-by-step explanation:
closer to 1 = more likeliness
If an event is likely to occur, the probability that the event will occur is between 3/4 and 1.
What is the probability?
Probability determines how likely it is that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
If the probability lies between 0 and 1/5, it is likely that the event would not occur. If the probability lies between 1/5 and 1, it is likely that the event would occur.
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plz I need help with my math hw
Answer:
270
Step-by-step explanation:
f(5) = 7+4(5) = 7+20 = 27
g(5) = 1/2(5) = 1/10
f(5)/g(5) = 27 / (1/10) = 27*10 = 270
Answer:
Step-by-step explanation:
(7+20)/(1/10)
27*(10/1)
270
2y + 18x = 2x(x + 9)
3(y - 4) = 9x - 12-6
Help! Please show work and match the algebraic functions to the correct graph.
Answer:
2y + 18x = 2x(x + 9) ⇒ Graph II
3(y - 4) = 9x - 12-6 ⇒ Graph I
Step-by-step explanation:
Graph II is the only non-linear function since, correctly, it is written that it is not straight, i.e. it has a varying gradient/rate of change.
Answer:
Graph 2 is a curved graph and matches x^2 measured data.
Step-by-step explanation:
A coin has two sides: heads and tails. A die has six sides, numbered 1 through 6. If you flip the coin and roll the die, what is the
probability that you flip "heads" and roll a number less than 3?
(a) Find an angle between 0 and 2π that is coterminal with −19π10.
Answer:
[tex]\dfrac{\pi}{10}[/tex].
Step-by-step explanation:
All coterminal angles of an angle [tex]\theta[/tex] are defined as
[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]
where, n is an integer.
The given angle is
[tex]\theta=-\dfrac{19\pi}{10}[/tex]
So, all coterminal angles of an angle [tex]\theta[/tex] are
[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]
For n=1,
[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]
[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]
[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]
[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]
Since, [tex]\dfrac{\pi}{10}[/tex] between 0 and 2π, therefore, the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].
Please help i am being timed. For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?
Answer:
40 adults and 140 kids
Step-by-step explanation:
40 adults
pairs of adults= 20
20 x 7kids= 140 kids
40 adults plus 140 kids = 180 total
Answer:
40 adults and 140 kids
Step-by-step explanation:
for every 9 people there are 2 adults and 7 kids
so if there are 180 people in total we would
180 / 9
180 / 9 = 20
so there are 20 groups of 2 adults and 7 kids
40 adults and 140 kids
Use the given D to find the range of each function: e f(x)=x−4, D={−2, −1, 3}
PLS HELP!!! URGENT
Answer: R={-6,-5,-1}
Step-by-step explanation:
If D= -2
substitute x for -2
f(x)= -2-4=-6
then do that for the rest
A point (3, –2) is reflected across the x-axis followed by a reflection across the y-axis. Find the image of the point after the described transformations. answers: A) (3, –2) B) (3, 2) C) (–3, –2) D) (–3, 2)
Answer:
D. (-3, 2)
Step-by-step explanation:
The original point is (3, -2)
The rule for reflecting across the x-axis is (x, y) -> (x, -y)
(3, -2) -> (3, 2)
The rule for reflecting across the y-axis is (x, y) -> (-x, y)
(3, 2) -> (-3, 2)
We want to find the image of the point (3, -2) after two reflections.
The correct option is D: (-3, 2)
Now let's see how to solve this.
The first thing we need to do is describe the two reflections.
For a general point (x, y), a reflection across the x-axis will give the point (x, -y).
And a reflection across the y-axis will give the point (-x, y).
So, if we start with the point (3, -2).
Then we reflect this across the x-axis, it gives the point: (3, -(-2)) = (3, 2)
Now we have a reflection across the y-axis, it gives the point (-3, 2)
So the image of the point after the two reflections is (-3, 2), meaning that the correct option is D.
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Elanor's newborn baby weighs 3400g. Convert the weight to pounds. Round to the nearest tenth of a pound.
Answer:
7.5 lbs
Step-by-step explanation:
1 g = 0.00220462262185 lb
3400 g * .00220462262185 lbs/1 g = 7.495717 lbs
Rounding to the nearest tenth
7.5 lbs
The shape has an area of 60 square inches. Find the value of x.
Answer:
12 inches
Step-by-step explanation:
A=0.5bh
A=0.5xh
60=0.5*10*x
60=5x
5x=60
x=12
Newton currently has an account balance of $6,225.18. He opened the account 15 years ago
with a deposit of $4,543.11. If the interest compounds daily, what is the interest rate on the
account?
30.3%
7.7%
58.3%
2.1%
Answer: 2.1%
Step-by-step explanation:
r = n [(A/P)^1/nt - 1
Why is sexual reproduction citical in the process of evolution
Answer:
sexual reproduction provides evolutionary advantages to organisms that employ this mechanism to produce offspring.
Step-by-step explanation:
Answer: it creates birth
Step-by-step explanation: can i have brainliest
Please help with the question below
Answer:
0, 120, 120, 150
Step-by-step explanation:
0, 120, 120, 150
Just multiply the speeds by the hour.
0 * 60 = 0
2 * 60 = 120
120 + 0 * 0.5 = 120
30 * 1 + 120 = 150
If you were to take Eva’s age X divide it by five and then square the quotient you would have John’s age how old is John
X - Eva's age
[tex]\dfrac X5[/tex] - Eva's age divided by five
[tex]\left(\dfrac X5\right)^\big2[/tex] - Eva's age divided by five and then squared
[tex]\left(\dfrac X5\right)^\big2=\dfrac{X^2}{25}[/tex]
Answer:
John is [tex]\frac{X^2}{25}[/tex] years old now