9514 1404 393
Answer:
C. (-4, -3)
Step-by-step explanation:
The point where the lines cross is the solution to both equations. That point is in the third quadrant, where both coordinate values are negative.
The x-coordinate of the point is listed first, so the solution is ...
(x, y) = (-4, -3)
Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?
The rectangular prism is made up of the dimensions
Lenght = 4 cubes
Width = 2 cubes
Height = 4 cubes
The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:
[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]
Therefore, She need 32 cubes to make the prism.
What is the slope and y-intercept of the following equation: 5x - 3y = 36
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)
Determine whether the pair of lines is parallel perpendicular or neither 26x+2y=4 and -3x+39y=-15
100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)
Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
30 is what percent of 40?
Answer:
it is 75% sheeeesh. jdjdjd
Step-by-step explanation:
3/4
Answer:
75%
Step-by-step explanation:
Let the answer be 'x'
40 × x/100 =30
40x/100 = 30
40x= 3000
x =3000÷40
x= 75
thus 30 is 75% of 40
Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?
Answer:
60%
Step-by-step explanation:
Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.
They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:
6/10 = 0.60, or 60%
Tina has a 60% chance of drawing a nickel from her pocket.
~
slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!
Answer:
To form the equation, it would y = -2/5x
Step-by-step explanation:
Please help due in 5 minutes
Answer:
18,24,30
Step-by-step explanation:
hope this helps
Answer:
c
Step-by-step explanation:
because that the hypotenuse 30 adjacent 18 and opposite 24
True or false: The following table is linear.
The table is linear because it goes up at a consistent rate each time.
Please help almost finisHHHH
Answer:
B. The y-coordinate is positive.
Step-by-step explanation:
What shape is figure b?
Figure a is a half sphere and figure b is a cylinder.
cylinder
sphere
half sphere
cone
The solution is, Figure a is a half sphere and figure b is a cylinder.
What is shape?In geometry, a shape can be defined as the form of an object or its outline, outer boundary or outer surface. Everything we see in the world around us has a shape.
here, we have,
from the given figure, we have,
the given shape has two parts,
the upper half is a half sphere.
Hemisphere includes the prefix hemi-, meaning "half". The northern and southern hemispheres are divided by the equator, the circle halfway between Earth's two poles. The eastern and western hemispheres aren't divided so exactly, since there are no poles in the Earth's east-west dimension.
and, the part b is a cylinder.
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Hence, The solution is, Figure a is a half sphere and figure b is a cylinder.
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Select the correct answer.
Consider the first four terms of the sequence below.
-3, -12, -48, -192, . . .
What is the 8th term of this sequence?
A.
-196,608
B.
-49,152
C.
-12,288
D.
-768
Answer:
D
Step-by-step explanation:
The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
Consider the first four terms of the sequence are,
⇒ -3, -12, -48, -192, . . .
Here, Common ratio is,
⇒ - 12 / - 3
⇒ 4
Thus, The sequence are in Geometric sequence.
Hence, The value of 8th term of this sequence is,
⇒ a (8) = - 3 × (4)⁸⁻¹
⇒ a (8) = - 3 × 4⁷
⇒ a (8) = - 3 × 16,384
⇒ a (8) = - 49,152
Thus, The value of 8th term of this sequence is,
⇒ a (8) = - 49,152
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Can u please help me??
It would be very helpful if u could write down the answer on a piece of paper(50pts)
Answer:
Given GP:
tₙ = (1/3)ⁿ⁻¹We see that:
t₁ = 1, r = 1/3Sum of n terms:
Sₙ = t₁(1 - rⁿ)/(1 - r)Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ] Sₙ = 3/2 [1 - (1/3)ⁿ]Someone help and plz make sure it’s right plz! :)
Answer:
obtuse
Step-by-step explanation:
Answer:
Acute angle. You're welcome
Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost and the variable n represents the number of items.
Answer:
c = 1.41n i think lol
Step-by-step explanation:
Answer:
The correct answers are these.
Step-by-step explanation:
(lg 5)²+(lg 2)(lg 50)
need solution....
For which of the following equations does n = 5?
I. 3n = 15
II. n2 = 25
III. 2n = 32
Answer:
1) 3n = 15
Step-by-step explanation:
advance tickets for a school play went on sale. the price of each student ticket was $4 and everyone else paid $5. on the first day, no more than $80 in tickets were sold. describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to non student’s.
Answer:
0student 16non-student,
5student 12non-student,
10student 8non-student,
15student 4non-student,
20student 0non-student
Step-by-step explanation:
s student tickets, e non student
4s + 5e = 80
s e
0 16 4(0) + 5(16) = 80
5 12 4(5) + 5(12) = 80
10 8 4(10) + 5(8) = 80
15 4 4(15) + 5(4) = 80
20 0 4(20) + 5(0) = 80
A trapezoid with a height of 8 ft base measuring 11 ft has an area of 112ft find the length of the other base
Answer:
1.27272727273 I think
Step-by-step explanation:
evaluate 4z -5y when z=8 and y=3
Answer:
17
Step-by-step explanation:
In 4z -5y, substitutte 8 for z and 3 for y, obtaining:
4(8) - 5(3) = 32 - 15 = 17
Answer:
17
Step-by-step explanation:
When you have a number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.
4z-5y
when z=8 and y=3
The equation really is
4 times 8 - 5 times 3
4 times 8 is 32
5 times 3 is 15
15-32
15-32= 17
Please help with this
Answer:
1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
PLEASE HELP!!
Find the volume of the following
square pyramid.
Help Resources
8 cm
6 cm
6 cm
V = [?] cm3
Enter
Answer:
96
Step-by-step explanation:
The volume of the square pyramid is 96 cm³.
How to find the volume of a square pyramid?
You can locate the extent of a normal square pyramid with the use of the volume formula= base location² × height / 3. Take be aware that the bottom vicinity equals the square of the pyramid's base side period. However, the peak is the perpendicular distance between the pyramid's base and the pyramid's vertex.
By using the given formula, we get
V= a² h/3
=6² * 8 / 3 = 96
The answer is 96 cm³.
The volume of a pyramid is found using the formula V = (1/3) B*h, where 'B' is the base area and 'h' is the height of the pyramid.
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!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Answer:
Im gona guess C but im not 100%
Step-by-step explanation:
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?
area of a circle = [tex]\pi r^{2}[/tex]
circumference =[tex]2\pi r[/tex]
Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m
we have the circumference of the inner circle which is 270.04 we can find the value of m using that
[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]
the radius of the inner circle is therefore 42.98
and the full circle has a radius off 65.02
area of shaded region = area of full circle - area of inner circle
area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]
area of shaded region = [tex]13281.39 - 5803.4[/tex]
area of shaded region = 7478 rounded off to the nearest whole number
A triangle has sides with lengths of 9 yards, 12 yards, and 15 yards. Is it a right triangle?
Answer:
Yes
Step-by-step explanation:
Plug your values into the Pythagorean Theorem to check if they make sense
The dot plot shows two students’ scores on 12 history quizzes.
Which of the following statements correctly compares the median and the range of their scores?
A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores
B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores
D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores
Answer:
The correct answer is B
Step-by-step explanation:
Both of their medians are equal and Ami's range is larger than Lolo's range :)
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Lolo's quiz:
Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19
Median.
= (14 + 15)/2
= 14.5
Range,
= 19 - 12
= 7
Ami's score:
Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18
Median.
= (14 + 15)/2
= 14.5
Range.
= 18 - 10
= 8
We can say that,
The median is the same for both and Ami's range is greater than Lolo's.
Thus,
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
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Janea bought a motorcycle for dollars. It depreciates by a factor of each year. Which expression best predicts the value of the car after 10 years?
Answer:
m·n¹⁰Step-by-step explanation:
Required equation is in the form of:
V(t) = P*r^t, V- future value, P- present value, r- rate, t- timeIn terms of this question:
m·n¹⁰ is the correct choice5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
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