Answer:
A line is an infinite two dimensional figure
Solve logx − 116 = 4
Answer:
x = [tex]10^{120}[/tex].
Step-by-step explanation:
logx - 116 = 4
log(x) = 4 + 116
log(x) = 120
10^120 = x
x = [tex]10^{120}[/tex]
Hope this helps!
Answer: the answer is 3
Step-by-step explanation: i took the test and thats the answer
A triangle with vertices at A(20, -30), B(10.-15), and C(5,-20) has been dilated with a center of dilation at the origin.
The image of B, point B', has the coordinates (2, -3). What is the scale factor of the dilation?
10
o
5
е
10
Answer:
scale factor = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Consider the ratio of corresponding coordinates of the image to original, that is
scale factor = [tex]\frac{2}{10}[/tex] = [tex]\frac{-3}{-15}[/tex] = [tex]\frac{1}{5}[/tex]
Suppose a cube is given.
How many non-congruent triangles can be formed by connecting 3 of the vertices of the cube?
Answer:
The number of non-congruent triangles that can be formed from the vertices of a cube are 3 triangles
Step-by-step explanation:
The number of non congruent triangles that can be formed by connecting 3 of thee vertices of the cube is found as follows;
The available different lengths of segments joining two vertices of a cube of side length s = 2 are;
2, 2·√2, and 2·√3
Therefore, since there are only three different side lengths we have the possible triangle dimensions given as follows
Distinct triangle one = 2, 2, 2·√2
Distinct triangle two = 2·√2, 2·√2, 2·√2
Distinct triangle three = 2, 2·√3, 2·√2
Therefore, there are ₃C₃ = 3 ways of forming three non-congruent triangles from the vertices of a cube.
Use DE←→ and FG←→ to answer the question. DE←→ contains the points D(1,−2) and E(3,4). FG←→ contains the points F(−1,2) and G(4,0). Is DE←→ perpendicular to FG←→? Why or why not? A.No, because the product of the slopes is not −1. B.Yes, because the product of the slopes is −1. C.No, because the product of the slopes is not 1. D.Yes, because the product of the slopes is 1.
Answer:
A. No, because the product of the slopes is not -1
Step-by-step explanation:
The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:
m = (y2 - y1)/(x2 - x1)
Therefore:
Slope of DE (m1) = (4 - (-2))/(3 - 1) = 3Slope of FG (m2) = (0 - 2)/(4 - (-1)) = -0.4Two lines are perpendicular if the product of their slopes is equal to minus one. In this case, m1*m2 = 3*(-0.4) = -1.2 ≠ -1
Answer:
Yes, because the product of the slopes is −1.
Step-by-step explanation:
I took the test :)
whats 35x25 because idonk know i need a good resoning.
Answer:
875
Step-by-step explanation:
35 x 25 =
30x25 + 5x25
750 + 125
875
The Answer is 875
✍️(◔◡◔) hope this helps <3
Solve the inequality 3x - 5 < 4.
Answer:
I got x<3
Step-by-step explanation:
Answer:
x < 3
Step-by-step explanation:
Add 5 to both sides. Then: 3x < 9 and x < 3.
The solution is the area to the left of x = 3 (but not touching x = 3).
Find the area of ABC with the side lengths a=8 and b= 12, and the included angle C =84 degrees. Round your answer to the nearest tenth
Answer:
47.7 square units
Step-by-step explanation:
The area of triangle ABC with two given sides and an inclusive angle =
1/2absinC
Where : a = 8, b = 12, C = 84
Area of Triangle ABC = 1/2 × 8 × 12 × sin 84
Area of Triangle ABC = 47.737050978 square units
Approximately to the nearest tenth = 47.7 square units.
Answer:
47.7
Step-by-step explanation:
yes
Solve for x. Then, find m∠FDG and m∠GOF. answers: 1) x = 29; m∠FDG = 66°; m∠GOF = 126° 2) x = 28; m∠FDG = 64°; m∠GOF = 116° 3) x = 27; m∠FDG = 62°; m∠GOF = 118° 4) x = 24; m∠FDG = 56°; m∠GOF = 106°
Answer:
3) x = 27; m∠FDG = 62°; m∠GOF = 118°
Step-by-step explanation:
2x + 8 + 4x + 10 = 180
6x + 18 = 180
6x = 162
x = 27
Answer:
x = 27; m∠FDG = 62°; m∠GOF = 118°
Step-by-step explanation:I took the test
if one number is five more than another number, and the smaller number is half of the larger, what are the two numbers
Answer:
smaller number = 5
larger number = 10
Step-by-step explanation:
Let
smaller number = x
larger number = x+5
"the smaller number is half of the larger" means
x+5 = 2x
Solve for x
5 = 2x -x = x
Therefore
smaller number = 5
larger number = 10
Answer:
The larger number is 10 and the smaller is 5 less, or 5.
Step-by-step explanation:
Represent the larger and the smaller numbers by L and S.
Then L = S + 5, and S = L/2
Substituting L/2 for S in the first equation, we get L = (L/2) + 5
Multiplying both sides by 2, we get 2L = L + 10, or L = 10.
The larger number is 10 and the smaller is 5 less, or 5.
A triangles angle measures are in the ratio 3: 4: 7. Find the measures of the angles
Step-by-step explanation:
total ratio = 3+4+7 = 14
3/14×180= 38.57°
4/14×180= 51.43°
7/14×180 = 90°
Answer:
total ratio = 3+4+7 = 14
3/14×180= 38.57°
4/14×180= 51.43°
7/14×180 = 90°
Step-by-step explanation:
PLEASE HELP Plot 2 2/3 and 1 5/9
Answer:
Answer attached
Find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled
Answer:
Step-by-step explanation:
The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36. Yes, there are repeated sums.
All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10..., if you notice, there are 18 even sums.
All the sums that are odd by greater than 7: 9,9,9,11,9,11, if you notice, there are 6 of them.
Total: 6 + 18 = 24
Probability(A) = number of favorable outcomes/ total number of outcomes
The probability is 24/36 = 2/3
The probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
We need to find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled.
The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36.
All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10...,
there are 18 even sums.
All the sums that are odd by greater than 7: 9,9,9,11,9,11, there are 6 of them.
Total: 6 + 18 = 24
Probability(A) = number of favorable outcomes/ total number of outcomes
Therefore, The probability is 24/36 = 2/3
Hence, the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.
Learn more about probability here;
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Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answer:
Hey there!
m/-2-7=-9
m/-2=-2
m=4
Find the number line with a dot on the 4!
Hope this helps :)
What is the complement of an angle that measures 24° 13' 49”
Answer:
65°46'11"
Step-by-step explanation:
What is the complement of an angle that measures 24° 13' 49” ?
Complementary Angles = they add up to 90°
90° - 24° 13' 49” =
= 89°59'60" - 24° 13' 49”
= 65°46'11"
Answer:
65°46'11'' OR 65.76972222°
Step-by-step explanation:
Explanation above is better than mine
In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
Answer:
20
Step-by-step explanation:
Classify the following triangle. Check all that apply.
7
9
11.4
A. Equilateral
O B. Isosceles
O C. Acute
O D. Scalene
O E. Right
O F. Obtuse
Answer:
Scalene and right
The given triangle is the right-angle triangle.
What is a right-angled triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
The given triangle has one angle equal to 90 degrees and the line is perpendicular to the base.
Hence, the given triangle is the right-angle triangle.
To know more about the right-angled triangles follow
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Which expression is equivalent to (3a)-27
3a2
0
o
o
Answer:
Step-by-step explanation:
(3a) - 27 = 3a - 3^3 = 3(a - 3^2)
Next time, please share all of the answer choices. Thanks.
I need help with number 5
Answer:
A
Step-by-step explanation:
62 +65=127
C+127=180
C=180-127=53°
so x=53°
53-y=11
y=53-11=42
Answer: A
Step-by-step explanation:
Since ΔCDE and ΔGHI are congruent triangles, they are equal to each other. This means x-y=11. We want to find y, but we first need to find x. We can do that by finding x° on ΔGHI.
We know that the sum of the angles is 180° in a triangle. We are given 2 angles from ΔCDE. We can use those to find x°.
62+65+x=180 [combine like terms]
127+x=180 [subtract 127 on both sides]
x=53
Now that we have x, we can find y by plugging in.
53-y=11 [subtract both sides by 53]
-y=-42 [divide both sides by -1]
y=42
Sarah's car travels 28 miles on on gallon of gas. Greta's car travel 18 kilometers on one liter of gas. Which car gets better gas mileage?
Answer:
Gretas car gets better gas mileage
Step-by-step explanation:
18 km= 18,000 miles
18,000>28
So, Gretas car gets better gas mileage
Hope this help!
HELP ASAP How many times will the digit '3' appear if we write all whole numbers from 1 to 99?
Answer:3,13,23,30,31,32,33,34,35,36,37,38,39,43,53,63,73,83,93
Step-by-step explanation:
You gotta count I did this quick
Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?
Answer:
P = 2x² + 8x - 30
P = 12 (if x = 3)
Step-by-step explanation:
Perimeter Formula: 2l + 2w
Step 1: Find perimeter
2(2x² - 16) + 2(-x² + 4x + 1)
4x² - 32 - 2x² + 8x + 2
2x² + 8x - 30
Step 2: Plug in x = 3
2(3)² + 8(3) -30
18 + 24 - 30
42 - 30
12
*ANSWER ASAP PLS* How can someone live smarter to reduce his/her carbon footprint? a.) remove insulation b.) live in a smart community c.) buy inefficient appliances d.) use incandescent bulbs
Answer:
remove insulation ,,,eat low on the food chain
Step-by-step explanation:
u can reduce it by 8 pounds
Answer:
remove insulation
1. A line passes through (1, -5) and (-3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
А
16
y-5=
1
(x + 1); y ==x+
3
3
3
B y- 5= 3(x + 1); y = 3x + 8
C y + 5 = -3(x - 1); y = -3x - 2
D
8
y-1 =
1 = $(x + 5): y = x+
3
Answer:
Step-by-step explanation:
The slope is -3
You can now substitute (1,-5) for x and y
-5= -3+b
b=-2
So in slope intercept form the answer is y=-3x-2
In point slope form the answer is 3x+y=-2
(80 pts) How many different ways can a captain and a co-captain be selected for a rugby team if there are 10 players?
Answer:
There are 90 different ways
Step-by-step explanation:
We can apply factorials to help solve this equation.
Just to review, 4!= 4x3x2x1
To solve this problem, we need to use factorials but only a portion of it.
Since there are only 2 roles, we only have to go down two numbers
For captain, there are 10 players available,
But for co captain, there are 9, because the captain can't also be the co captain
So the result is 10x9
We don't have to go further since there are no more further roles to occupy
10x9=90
There are 90 different ways
Answer:
45 if two co-captains or 90 if captain and co-captain are two DISTINCT roles.
Step-by-step explanation:
METHOD ONE
Label each player (either a through j OR 1 - 10).
List combinations:
a ba c a da ea f a ga ha ia jb c (not "b a" because that would be the same as #1)b db eb fb gb hb ib jc d (not "c a" or "c b" because those would be duplicates)c ec fc gc hc i c jd ed fd gd hd id je fe ge he ie jf gf hf if jg hg ig jh ih jj iMETHOD 2
use formula
simplify the expression [tex]-\frac{4x+7}{2} -\frac{3x-2}{2}[/tex]
Answer:
-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2
You are making a welding fixture and must cut down a length of copper tubbing from 15 1/8 inches to 8 3/4 inches. If the leftover piece is long enough, you will use it in another fixture . How long will the leftover piece be ? 23 and 7/8 1 and 51/70 7 and 1/8 6 3/8
Answer: [tex]6\dfrac{3}{8}\text{ inches}[/tex]
Step-by-step explanation:
Given: Original length = [tex]15\dfrac{1}{8}[/tex] inches
[tex]=\dfrac{8\times15+1}{8}=\dfrac{121}{8}[/tex] inches ( In improper fraction )
Length of piece cut from original = [tex]8\dfrac{3}{4}[/tex] inches
[tex]=\dfrac{4\times8+3}{4}[/tex][tex]= \dfrac{35}{4}[/tex] inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )
[tex]=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}[/tex]
Hence, the leftover piece will be [tex]6\dfrac{3}{8}\text{ inches}[/tex] long.
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two-thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answer:
4 times faster
Step-by-step explanation:
From the above question, we have the following information
Let us represent the Distance traveled by Abigail as Y
On her skateboard she travelled two thirds of the way = 2/3Y
She walks the rest of the way home = Y - 2/3Y = 1/3Y
The time she used to walk home is twice the time she used to ride her skate board
Hence, let us represent the time she used to ride her skateboard as S
So, Time she used to walk home = 2 × S = 2S
The question is asking us, how fast ,this is = Speed
The formula for Speed = Distance/ Time
Speed for her skate board = 2/3Y/S = 2Y/3S
Speed as she walks = 1/3Y / 2S = Y/ 6S
How many times faster is Abigail on her skateboard than she is walking is calculated as :
Speed of Abigail while skating ÷ Speed of Abigail while walking
= 2Y/3S ÷ Y/6S
= 2Y/3S × 6S/Y
= 4
Therefore, Abigail was 4 times faster on her skateboard than she is walking.
PLEASE HURRY Solve for X assume that lines that which appear tangent are tangent
Answer:
x = 8
Step-by-step explanation:
In a circle if two chord intersects as shown in figure
and length of a chord at point of intersection is a and b
and length of another chord at point of intersection is c and b
a*b = c*d
using this relation here, we have
8*(x+7) = 10 * (4 +x)
=> 8x + 56 = 40 + 10x
subtracting 40 and 8x from both sides
=>8x + 56 - 8x -40= 40 + 10x -8x -40
=> 16 = 2x
=> x = 16/2 = 8
Thus, x = 8
HELP PLS. solve the triangle shown in the figure. LC=90 degrees, BC=7.50mi, AC=11.43mi
Answer: C
Step by step:
Use the pythagoras' theorem ( c² = a² + b² ) to find the length of AB.Use trigonometry to find the 2 missing angles of the triangle.That's all!
Answer:
C.
Step-by-step explanation:
Plot on the number line?
Answer:
See below
Step-by-step explanation:
[tex]\sqrt{6}[/tex] = 2.449
So, While plotting to the number line it will be like:
Answer:
Step-by-step explanation:
Hello!
You have to plot √6 on the number line.
The √6 is equal to 2.4494
In the given number line is depicted the scale between 2.4 and 2.5, the lines between corresponds to the second decimal digit between these two numbers, so the given scale is:
| * | | | * | * | | | * | | |
2.40 2.41 2.42 2.43 2.44 2.45 2.46 2.47 2.48 2.49 2.50
The dot corresponding to √6 is the third counting from left to right.
(See attachment)
I hope this helps!