Answer:
The twentieth term is 50.
Step-by-step explanation:
The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:
a1 = 3*1 - 10
a1 = -7
Therefore to find the twentieth term we need to make n equal to 20. This is done below:
a20 = 3*20 - 10
a20 = 60 - 10
a20 = 50
The twentieth term is 50.
Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)
I scanned for a pair of x coordinates that match and a pair of y coordinates that match. That would be a right triangle whose sides are parallel to the axes. It's possible our right triangle is more complicated, but let's start here.
Nope, it doesn't look like our right triangle is oriented to the axes. Let's do the Pythagorean Theorem.
1) A(-1, -3), B(4, -3), C(2, -1)
AB² = (4 - -1)² + (-3 - -3)² = 25
AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13
BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8
25 ≠ 13 + 8, not a right triangle
2) A(-2, 2), B(1, -4), C(4, 2)
AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45
AC²= (4 - -2)² + (2 - 2)² = 36
BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45
not a right triangle, but isosceles
3) A(-1, 1), B(3, 5), C(4, -4)
AB² = 4² + 4² = 32
AC²= 5² + 5² = 50
BC²= 1² + 9² = 82
BC² = AC² + AB², THIS IS A RIGHT TRIANGLE
4) A(-1, 3), B(-4, -3), C(-4, 1)
AB² = 3² + 6² = 45
AC²= 3² + 2² = 13
BC²= 0² + 4² = 16
not a right triangle
Answer: 3) A(-1, 1), B(3, 5), C(4, -4)
Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?
Answer:
$5107.20
Step-by-step explanation:
His pay after he was caught once
133x 8=1064
1064x 20% = 212.8
1064-212.8=851.2
1064x 4= 4256
4256+ 851.2=5107.2
What is the exponential form of log4 16 = 2?
Explenation:
Logarithm
log
b
x
is the exponent of a power with base
b
which gives the number under
log
sign (
x
).
In this example we can say that:
log
4
16
=
2
because:
4
2
=
16
Step-by-step explanation:
In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140
The solution is, the value is 35 degrees, is the measure of ZXYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The solution is, the value is 35 degrees, is the measure of ZXYZ.
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What is the distance between (6, 2) and (-3,-2)?
09
03
O V97
05
Answer:
√ 97
Decimal Form:
9.84885780 …
Adding and subtracting radicals
which of the following are properties of the circumference of a triangle
Answer:
angle, length height
Step-by-step explanation:
The circumference of a triangle are the lengths of all three sides added together. If you ask yourself what are the properties you need to measre the lengths of a side.
HELP PLEASE
The volume of this cone is 376.8 cubic feet. What is the radius of this cone? Height is 10ft
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
6.08 ft
Step-by-step explanation:
Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h
Radius = [tex]\sqrt{ \frac{V}{\frac{1}{3}\pi h } }[/tex]
[tex]R = \sqrt{\frac{376.8}{\frac{1}{3} \pi 10} }[/tex]
[tex]R = \sqrt{\frac{376.8}{10.47} }[/tex]
[tex]R = \sqrt{36.98}[/tex]
[tex]R = 6.08[/tex]
Which of the following shows the correct solution steps and solution to
3x-2= -11
Answer:
the third one is correct
Step-by-step explanation:
2/5 of it is 22.\
I need help PLS
Answer
55
Step-by-step explanation:
2
5
(22)
=(
2
5
)(
22
1
)
=
(2)(22)
(5)(1)
=
44
5
(Decimal: 8.8)
which will give 55
PLease mark brainllest!!!!!!!
Answer:
2 divided by 5 = 0.4
22/0.4=220/4=55
55 is the number. Hope this helps.
Step-by-step explanation:
Find the value of x and the value of y.
Answer:
B.
Step-by-step explanation:
If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.
Then, you can just make an equation:
2x + 2x - y + y + 60 + 40 = 360
4x = 260
x = 65°
Now you can use same side interior angles to make another equation:
2x - y + 60 = 180
130 + 60 - y = 180
y = 10
Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]
need help quick plz
how many twentieths equal three-fifths
Answer:
12
Step-by-step explanation:
It takes twelve 1/20 tiles to exactly cover three 1/5 tiles, so 35=12/20.
The number of twentieths required to make three fifths is required.
Twelve twentieths equal to three-fifths
The question can be rephrased as "How many times do you have to add [tex]\dfrac{1}{20}[/tex] to get [tex]\dfrac{3}{5}[/tex]"
The end result should be [tex]\dfrac{3}{5}[/tex]
Let the number of times be [tex]x[/tex]
[tex]x\times \dfrac{1}{20}=\dfrac{3}{5}\\\Rightarrow x=\dfrac{3}{5}\times 20\\\Rightarrow x=12[/tex]
So, twelve twentieths equal to three-fifths.
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Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
Ming took a cab across town. His fare was $22, and he leaves an 18%tip.
What is the total amount Ming pays the cab driver?
Answer:
$25.96
Step-by-step explanation:
take 18% of 22, which is 3.96. Add it to 22 and that's the amount Ming payed!
Graph: y = 12 - 41 + 2
Step-by-step explanation:
y=-27
...................
Pls help me on this question !
Data was collected on the weight of a male laboratory rat for the first 25 weeks
after its birth. The linear regression equation is y= 40x+100, where x is number of
weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
The predicted weight of the rat in year 0.
The current weight of the rat.
The predicted weight of the rat at birth
The average increase in the rat's weight
Answer:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Step-by-step explanation:
For this case we have the following equation given:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Todd has created the following diagram to prove the Pythagorean theorem. He drew (triangle)ABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the hypotenuse. He determines that c/a=a/z and c/b=b/y. Then he determines that cx=a^2 and cy=b^2. What is the next step in proving the theorem?
Answer:
cx + cy = a² + b²
Step-by-step explanation:
Next step is adding up cx and cy:
cx + cy = a² + b²Then followed by:
c(x+y) = a² + b²c² = a² + b²Answer: cx + cy = a² + b²
Step-by-step explanation:
Look at the figure below. Which of the following statements could be a step in a proof that vertical
angles are congruent?
APC = DPB because angles formed by the
same pair of intersecting lines are congruent to each
other.
ZAPC ZDPB because angles complementary
to the same angle are congruent to each other.
ZAPC ZDPB because angles adjacent to the
same angle are congruent to each other.
ZAPC ZDPB because angles supplementary to
the same angle are congruent to each other.
Answer:
ZAPC ZDPB because angles adjacent to the
same angle are congruent to each other.
Step-by-step explanation:
8,11,14,14,13,15,9 Mean median mode Range
Answer:
Mean:12
Median:13
Mode:14
Range:7
Step-by-step explanation:
The Mean is the average.
8+11+14+14+13+1+9/7=12
The Median is the Middle number when in order from least to greatest.
8,9,11,13,14,14,15
The Mode is the number that appears the most.
14 Appears Twice
The Range is the largest number minus the smallest
15-8=7
A 2-year loan of $500 is made with 4% simple interest. Find the interest earned. Please state the answer with a dollar sign followed by a whole number. Example: $32
Answer:
$10
Step-by-step explanation:
4% of 500 is 5 dollars and two years is 10
I really need help and I would greatly appreciate it
Answer:
a. 15.783/19 × 100% = 15.78
b. 7
12-5 = 7
To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
c. 8
because 8 divides the age group making half the people younger than this age and half are older
2 . a - highest point is 8.7
c . georgina did better then half of the other gymnists which can be seen because the highest point is 8.7 where there are many who 7.7
mark brainliest pls
Expand and simplify (x + 5) ( x + 6)
Answer:
x^2 + 11x + 30
Step-by-step explanation:
help asap will mark brainliest
Answer:
Step-by-step explanation:
x = 105
the angle vertically opposite to x is 105 as it is corresponding to 105
and corresponding angles are equal
since vertically opposite angles are equal too, then x = 105 too
Answer:
Step-by-step explanation:
x = 105 {alternate exterior angles are equal}
When two parallel lines are intersected by the transversal, alternate exterior angles are equal
Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid? 84.3 cm2 108.6 cm2 157.2 cm2 168.6 cm2
The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²
How to find the surface area of a pyramid?
The surface area of the rectangular pyramid is the sum of the whole areas.
The total surface area is the sum of the whole area.
A rectangular pyramid has 4 triangular faces and a rectangular base.
Therefore,
total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²
total surface area = 108.6 cm²
Therefore, the total surface area of the rectangular prism is 108. 6cm²
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what is the answer to:
16^3/2
In my view the answer is 2,048
I am not sure about this answer..so if it is mistake then sorry
Answer:
[tex]16^\frac{3}{2} = 64[/tex]
Step-by-step explanation:
[tex]16^\frac{3}{2}[/tex]
Factor the number: [tex]16 = 4^2[/tex]
[tex]= (4^2)^{\frac{3}{2} }[/tex]
Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]
[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]
[tex]= 4^3[/tex]
Refine:
[tex]=64[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
Please help! Choose all that apply.
Answer:
I believe that the answers are B & C
Step-by-step explanation:
Hope this helps! Please pick me as brainliest!
The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .
Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded
The quotient is ____.
