Answer:40%
Step-by-step explanation:
Given that one of the angles in a triangle is 60°,
select the correct option for each statement.
Cannot be true Might be true
Must be true
(i)
The triangle
is scalene
A
B
С
(ii)
The other two angles
add up to 120°
А
B
С
A
B
The other two angles
of the triangle
are obtuse
The triangle is
right-angled
С
(iv)
A
B
С
Answer:
B, C, A, B
Step-by-step explanation:
i. 60+ 10 +110 = 180 ( so it can be scalene)
ii. 60 +120 =180 ( they have to, to make a triangle)
iii. Obtuse is 90 degrees or more
iv. 90 +60+30=180 (so it can be)
Write the first five terms of the arithmetic sequence. First term: -10 and common difference: 2
Answer:
The first five terms of the arithmetic sequence.
-10 , -8 , -6 , -4 ,-2 ..........
Step-by-step explanation:
Explanation
Given that the first term is -10 and common difference d = 2
we know that the sequence in A.P
a ,a+d ,a+2d,a+3d ,a+4d........... are in AP
-10, -10+2, -10+2(2), -10+3(2) , -10+4(2)..................
-10 , -8 , -6 , -4 ,-2 ..........
Final answer:-
The first five terms of the arithmetic sequence.
-10 , -8 , -6 , -4 ,-2 ..........
Divide 7.65 / 0.35 please help
Triangle RST is translated 6 units to the left and 4 units up to create triangle R’S’T’
Which rule best describes this transformation?
A) (x,y) —> (6x, -4y)
B) (x,y) —> (-6x, 4y)
C) (x,y) —> (x + 6, y - 4)
D) (x,y) —> (x - 6, y + 4)
Answer:
B (x,y) —> (-6x,4y)
Step-by-step explanation:
6 is moving left which is negative
4 is moving up which is positive
HELP PLEASE LOTS OF POINTS!!
Answer:
Thus, f and g are inverse functions
Step-by-step explanation:
Inverse Functions
If two functions f(x) and g(x) are inverses, then it follows that:
[tex]f\circ g(x)=x[/tex]
Or:
[tex]g\circ f(x)=x[/tex]
We are given
[tex]\displaystyle f(x)=\frac{1}{4}x-6[/tex]
[tex]g(x)=4x+24[/tex]
Let's test if they are inverse functions:
[tex]f\circ g(x)=\frac{1}{4}(4x+24)-6[/tex]
Simplifying:
[tex]f\circ g(x)=x+6-6=x[/tex]
Now find:
[tex]\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24[/tex]
Operating:
[tex]\displaystyle g\circ f(x)=x-24+24=x[/tex]
Thus, f and g are inverse functions
Find the measure of angle 1.
9514 1404 393
Answer:
(a) 84°
Step-by-step explanation:
If the upper side of angle 1 is extended so that it crosses the lower parallel, the angle it makes there corresponds to the one marked 51°, so is also 51°. That makes angle 1 the exterior angle of a triangle with remote interior angles of 51° and 33°. Angle 1 is the sum of those angles:
∠1 = 51° +33° = 84°
_____
Alternate solution
Draw a line through the vertex of angle 1 parallel to the other two parallel lines. The lower half of angle 1 is then an alternate interior angle to the one marked 33°, so is 33°. The upper half of angle 1 is a corresponding angle to the one marked 51°, so is 51°. That makes angle 1 be the sum of 33° and 51° angles, so 84°.
express each x in terms of y:
1. 2x - 3 = y
2. 2 + 2x -1 = 4y
3. 2A + 4x + 3B = 10
Answer:
1/2y+3/2
2y+-1/2
-3/2b-2x+5
Step-by-step explanation:
Carol is mixing pink paint. The ratio of red to white paint is 2:1. If carol uses 6 part red paint. How much white paint does she need?
Answer:
3
Step-by-step explanation:
Because the ratio is 2:1, you would divide the number of red parts by 2.
Answer:
She will need 3 parts white paint
Step-by-step explanation:
Lets make a proportion:
2 : 1
6 : x
We know that 2 = 6 in this problem are the same values, red paint
6/2 = 3 3 IS THE CONSTANT OF PROPORITIONALITY
Now, 1 x 3 = 3
1 = 3 in this problem are the same values, white paint
SHE NEEDS 3 PARTS WHITE PAINT
A 24 foot long bleacher stand has a
base angle of 30°. How high above the ground
is the last row of seating?
On a snow day, Hunter created two snowmen in his backyard. Snowman A
was built to a height of 35 inches and Snowman B was built to a height of 50
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 4 inches per hour and
Snowman B's height decreased by 7 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Write an equation for each situation, in
terms of t, and determine how tall each snowman is when they are the same
height.
Answer:
A = 35 - 4t
B = 50 - 7t
Height = 15 inches
Step-by-step explanation:
Given that:
Height of snowman A = 35 inches
Height of snowman B = 50 inches
Height decrease of snowman A = 4 inches per hour
Height decrease of snowman B = 7 inches per hour
t = number of hours
A = 35 - 4t Eqn 1
B = 50 - 7t Eqn 2
At same height,
Eqn 1 = Eqn 2
35 - 4t = 50 - 7t
-4t + 7t = 50 - 35
3t = 15
Dividing both sides by 3
[tex]\frac{3t}{3}=\frac{15}{3}\\t=5[/tex]
Putting t=5 in both equations
A = 35 - 4(5) = 35 - 20 = 15 inches
B = 50 - 7(5) = 50 - 35 = 15 inches
Hence,
A = 35 - 4t
B = 50 - 7t
Height = 15 inches
The equation should be
A = 35 - 4t
B = 50 - 7t
And, the Height = 15 inches
Calculation of the equation and height;
Since
Height of snowman A = 35 inches
Height of snowman B = 50 inches
Height decrease of snowman A = 4 inches per hour
Height decrease of snowman B = 7 inches per hour
Here, t = number of hours
So, the equation should be
A = 35 - 4t
B = 50 - 7t
Now for the same height
35 - 4t = 50 - 7t
-4t + 7t = 50 - 35
3t = 15
t = 15
So,
A = 35 - 4(5) = 35 - 20 = 15 inches
B = 50 - 7(5) = 50 - 35 = 15 inches
learn more about height here: https://brainly.com/question/17231109
graph this please it’s been due
Answer:
Step-by-step explanation:
Here, we want to graph the given line
To do this, we need the x and y intercept
The general equation form
is ;
y = mx + b
where m is slope and b is the y-intercept
from the question, b is -2
The point at b is (0,-2)
To get the x-intercept, equate y to 0
0 = 3x - 2
3x = 2
x = 2/3
So the x-intercept is (2/3,0)
So to graph the line, we have to join the points;
(0,-2) and (2/3,0) with a straight line
Please check attachment for this
Solve for r.
7(r + 1) = 20.3
Answer:
r = 1.9
Step-by-step explanation:
7r + 7 = 20.3
- 7 - 7
7r = 13.3
divide by 7
r = 1.9
Answer:
r = 1.9
Step-by-step explanation:
7(r + 1) = 20.3
Multiply the parenthesis by 7:
7r + 7 = 20.3
Subtract 7 from each side:
7r = 13.3
Divide 13.3 by 7 to find r:
r = 1.9
Find the volume. Round to nearest hundredth
Answer:
2pir^2 + 2pirh
2(pi)(3.2)^2+2pi(3.2)(8)
=225.19
=225.2
Please help ASAP. this isn't a quiz
Answer:
people fall in love in a serois way.
Step-by-step explanation:
To stay healthy kevins doctor said he should try to consume at most 2000 calories a day write an inequality to show the amount of calories Kevin should consume
Answer:
C ≤ 2,000 calories
Step-by-step explanation:
Here, we want to write an inequality
Let the number of amount of calories to be consumed be C
The term at most means that it cannot pass 2,000
Hence, it must be lesser than this
So the inequality will be;
C ≤ 2,000 calories
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?
plssss helpppp
Answer:
5/10
Step-by-step explanation:
if you add all the non- chocolate chip cookies than you have 10 other cookies.
since there are 5 chocolate chip cookies than the probability would be
5/10 or 1/2
The probability of picking a chocolate chip cookie is 1/3.
Given that, a box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here,
Total number of outcomes =15
Number of favorable outcomes = 5
Probability of an event = 5/15
= 1/3
Therefore, the probability of picking a chocolate chip cookie is 1/3.
To learn more about the probability visit:
https://brainly.com/question/11234923.
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Need help with this please answer :( I’m not good at math at all
5x + 4y = -7
-5x - 2y = 1
Answer:
y=-3
x=1
(1,-3)
Step-by-step explanation:
5x+4y=-7
-5x-2y=1
Cancel +5x - 5
2y=-6
y=-3
5x-12=-7 or -5x+6=1
5x=5 -5x=-5
x=1 x=1
Answer:
y = -3, x = 1
or
(1, -3)
Step-by-step explanation:
5x + 4y = -7
-5x - 2y = 1
add the two equations together
0x + 2y = -6
2y = -6
2y/2 = -6/2
y = -6/2
y = -3
now substitute y = -3 into either of the equations
5x + 4y = -7
5x + 4(-3) = -7
5x - 12 = -7
5x = -7 + 12
5x = 5
x = 1
Suppose your friend's parents invest $ 10,000 in an account paying 7% compounded annually. What will the balance be after 8 years?
- this is a simple interest question, so you should know the formula for this.
simple interest: i = prt
i - interest
p - principle amount (deposit)
r - rate
t - time in years
the problem: -- this is a two step question, since its asking for the balance.
i = prt
i = 10,000(0.07)(8)
i = 5600
- remember this is just the interest, NOT the balance.
to find the balance:
5600 + 10000 = 15600
FINAL ANSWER:
$15,600
-- let me know if you have any questions regarding this.
If you apply the changes below to the absolute value parent function, f(x) = |x|
what is the equation of the new function?
• Shift 8 units left,
• Shift 3 units down,
O A. g(x) =|x- 8|- 3
B. g(x) = |x - 3|- 8
OC. gx) =|x-3|+ 8
D. g(x) = |x+ 8|-3
Answer:
its d because inside the abs value thing ur gonn take that +8 and do the opposite of what it says so negative 8 to the left then ur just gonna go down negative 3
Round 503.782 to the nearest tenth.
Answer:
503.8
Step-by-step explanation:
Since in the hundredth place you have a number higher than 5, we want to round the tenth digit up by one to get 503.8.
Answer:
503.8
Step-by-step explanation:
Students at Mr. Mackie’s art class went outside to draw a rainbow, which follows a parabolic path and has the equation of = −0.1( − 1) + 6, where and are measured in centimeters. Graph the function.
If the height of the rainbow is 6 cm, how far away are the end points of the rainbow from one another?
HELP!!
Answer:
We were given the equation of a rainbow, which follows a parabolic path, which is
By comparing to the vertex form,
We have the vertex at (h,k)=(1,6)
Since a=-0.1<0, the parabola opens down.
At y-intercept, x=0.
Step-by-step explanation:
find the x- and y- intercepts of the following polynomial functions:
2. P(x) = x⁴ - 2x² + 1
3. P(x) = x (x- 1/2) (x + 4) (x - 1)
4. P(x) = x3 - 2x² - 4x + 8
5. P(x) = (x + 2) (x + 5) (x - 3) (x - 4)
Answer:
2. x-intercepts:(1,0),(-1,0) y-intercept:(0,1)
3.x-intercepts:(0,0),(1/2,0),(-4,0),(1,0) y-intercept:(0,0)
4.x-intercepts:(2,0),(-2,0) y-intercept:(0,8)
5.x-intercepts:(-2,0),(-5,0),(3,0),(4,0) y-intercept:(0,120)
A jar contains 15 red marbles, 10 green marbles, and 11 blue marbles. What is the probability that a marble chosen at random from the jar will NOT be green?
Answer:
Quantity A is greater.
Step-by-step explanation:
Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375. Event B is translated into 2 events: Blue + (White or Red) or (White or Red) + Blue. The probabilities of each of these events, added together would be (2/16) * (14/15) + (14/16) * (2/15) = 0.2333333333; therefore, A is more probable.
Solve the system by substitution.
y=X - 8
y = 2x – 14.
Hey there!
The answer to your question is (6, -2)
To solve for substitution, we simply make the right side of the equations equal to each other:
[tex]x-8=2x-14[/tex]
Add [tex]14[/tex] to both sides:
[tex]x + 6 = 2x[/tex]
Subtract [tex]x[/tex] from both sides
[tex]6=x[/tex]
Now, we have to solve for [tex]y[/tex], and we can do so by plugging in the value of [tex]x[/tex] in to one of the equations:
[tex]y = 6 - 8[/tex]
[tex]y = -2[/tex]
Therefore, your solution is (6, -2)
Have a terrificly amazing day!
How much honey does a beekeeper take from the hive
2512=3.14(r2)(8)
What is the diameter???
Help please!!!!!!
Answer:
r = 10 or -10
Step-by-step explanation:
Midterm Part 1
A high school principal has to choose an academic
team of four people. She decided to choose them from
an AP Statistics class of 19 people.
How many ways can the principal form a team?
A) 5,232 B) 3,876 C) 4,253 D) 8,121 E) 7,821
Answer:
Step-by-step explanation: ok
whats the answer for (x) 1/2 (8x-6)=-1/3(9x-12)
Answer:
1/2(8x-6)=-1/3(9x-12)
We move all terms to the left:
1/2(8x-6)-(-1/3(9x-12))=0
Domain of the equation: 2(8x-6)!=0
x∈R
Domain of the equation: 3(9x-12))!=0
x∈R
We calculate fractions
(3x9/(2(8x-6)*3(9x-12)))+(-(-2x8)/(2(8x-6)*3(9x-12)))=0
We calculate terms in parentheses: +(3x9/(2(8x-6)*3(9x-12))), so:
3x9/(2(8x-6)*3(9x-12))
We multiply all the terms by the denominator
3x9
We add all the numbers together, and all the variables
3x^9
We do not support expression: x^9
I would appreaciate if i got brainliest
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
The area of the triangle will be 5/8 square feet.
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.
In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Area: ½ × base × heightPerimeter: sum of side lengths of the triangleNumber of vertices: 3Number of edges: 3Internal angle: 60° (for equilateral)Sum of interior angles: 180°Right angle: 90 degreesGiven is a triangle as shown in the image.
Now, the area of triangle will can be written as -
[A] = 1/2 x [b] x [h]
[A] = 1/2 x 5/3 x 3/4
[A] = 1/2 x 5/4
[A] = 5/8 square feet
Therefore, the area of the triangle will be 5/8 square feet.
To solve more questions on angles and triangles, visit the link below -
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Four fifths of the children in a school are boys. Five eighths of the girls in the school are right-handed. What fraction of the children in the school are left-handed girls?
Answer:
See below
Step-by-step explanation:
Let x rep right handed
Then,
5/8× x
= 5x/8
Since 4/5 are boys
1 - 4/5
1/4
Then,
5x/8 = 1/4
20x = 8
x = 8/20
x = 2/5
Therefore, the fraction of the girls in the school that are left handed is 2/5
