Is the following statement always, sometimes, or never true? “The supplement of an acute angle is an obtuse angle.” Explain your answer.
YES
Step-by-step explanation:
The statement “The supplement of an acute angle is an obtuse angle.” is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)
Answer:
The statement is always true because the sum of the two angles must be 180 degrees to be supplementary. If the first angle is an acute angle, then it has a measure of less than 90 degrees. To sum 180 degrees, the second angle would need to be more than 90 degrees, making it an obtuse angle.
Step-by-step explanation:
f(x) is a function.
A. True
B. False
Answer:
True, this is a function
Step-by-step explanation:
There is a 1 to one correspondence between x and y
Each x goes to one y, so this is a function
WXY is congruent to CBA, If
Answer:
If they are opposite.
What is the value of x?
Answer:
I think it might be 11
Step-by-step explanation:
correct me if im wrong
Solve 0 = 5x2 – 1.5x – 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation? –0.5 and 0.2 –0.2 and 0.5 –0.5 and 0.5 –0.2 and –0.5
Answer:
B. -0.2 And 0.5
step-by-step explanation:
I used the graphing calculator on google :)
The solution to the equation using the graphing calculator is –0.2 and 0.5.
How to solve for the equation.The equation is given as
0 = 5x2 – 1.5x – 0.5
Using the graphing calculator we are to find the values of X1 and X2 using these values
A1 = 5
B1 = -1.5
C1 = -0.5
The resulting output would be X1 = -0.2. X2 = 0.5
Read more on quadratic equation here: https://brainly.com/question/1214333
#SPJ2
3. Write the following numbers in standard form. twenty three million seven hundred two thousand eight hundred five ____________________________________________________________ B) five hundred sixty two thousand three and seven hundred twenty two Thousandths____________________________________ C) (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1)
Answer:
A-23,702,805
B- 562,003.722
The standard forms of the given numbers are: Twenty three million seven hundred two thousand eight hundred five can be written as 23,728,805. Five hundred sixty two thousand three and seven hundred twenty two thousandths can be written as 562,003.722. (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1) can be written as 2,094,727.
Here is the explanation for each of the answers:
A) Twenty three million seven hundred two thousand eight hundred five can be written as 23,728,805 by grouping the digits into millions, thousands, hundreds, tens, and units.
B) Five hundred sixty two thousand three and seven hundred twenty two thousandths can be written as 562,003.722 by placing the decimal point after the three and then adding two zeros to the right of the decimal point. The thousandths digit is 722, so we need to add two zeros to the right of the decimal point to make sure that the number is accurate to the thousandths place.
C) (2 x 1 000 000) + (9 x 10 000) + (1 x 1000) + (4 x 100) + (7 x 0.1) can be written as 2,094,727 by collecting like terms together. The first term, 2 x 1 000 000, is equal to 2,000,000. The second term, 9 x 10 000, is equal to 90,000. The third term, 1 x 1000, is equal to 1000. The fourth term, 4 x 100, is equal to 400. The fifth term, 7 x 0.1, is equal to 7. Adding all of these terms together, we get 2,094,727.
Learn more about standard forms here: brainly.com/question/29000730
#SPJ2
In the diagram below, angle BAC = 34°.
Find the following angles, giving reasons for your answers.
a) angle ABC
b) angle BCA
Answer:
a) 90°
b) 56°
Step-by-step explanation:
If we connect O with B to get two isosceles triangles: ΔAOB and ΔBOC
∠BOC= is central angle ans is twice as ∠BAC, so equals to 2*34°= 68°
Then ∠BCA= (180°- 68°)/2= 56°
∠ABC= ∠ABO+∠CBO= 34°+56°= 90°
How to do number a and d?
help please
Answer:
a. Let's call the first number x which would make the other 2 numbers x + 2 and x + 4. Since they have a sum of 54 we can write:
x + x + 2 + x + 4 = 54
3x + 6 = 54
3x = 48
x = 16 so the numbers are 16, 18, 20.
d. We can write:
30 + x = 4(3 + x)
30 + x = 12 + 4x
18 = 3x
x = 6 years
PRE CALC PLEASE HELP PLEASE
Answer:
The statement is true
Step-by-step explanation:
We have been given an equation of hyperbola
In the given equation of hyperbola center is located at h at -1 and k at 2. so:
C:(h,k) = (-1,2)
Coordinated of the foci of the hyperbola are given as:
Foci: (h, k ± c)
Substitute the values of h and k into the coordinated of foci of hyperbola.
Foci: (-1, 2 ± c)
Where c can be found by using the given formula
c = √(a²+b²)
c = √(16+144)
c = 4√10
So the the coordinates of the foci are:
Foci: (-1, 2 - 4√10) and (-1, 2 + 4√10)
Thus, the statement given is true
Given the following system of equations, solve it by using substitution and elimination. Do
you get the same answer? Why or why not? Explain using complete sentences.
2x+3y = -14
3x + y =-14
Step-by-step explanation:
2x+3y=-14------equation i ×1
3x+y=-14--------equation ii ×3
2x+3y=-14
9x+3y=-42
-7x =- 28
x=4
Substitute for x in equation ii
3x+y= -14
3(4)+y=-14
12+y=-14
y=-14-12
y=- 26
Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy?
Answer:
2.5 gallons
Step-by-step explanation:
Quarts of juice Mary bought = 10 quarts
1 quart = 0.25 gallons
10 quarts = 0.25×10 = 2.5 gallons
Therefore she bought 2.5 gallons
Hope this helps : ) . Have a nice day !
A letter is chosen from the words BABY BOY and then replaced. Find P(B and B). A.2/7 b.9/49 c.2/49 D.7/49
Answer:
9/49
Step-by-step explanation:
BABY BOY = 7 letters
P(b) = B / total = 3 /7
Then replace
P(b) = B / total = 3 /7
P(B , replace, b) = 3/7 * 3/7 = 9/49
Prove ABCD is a parallelogram by showing both pairs of opposite sides are parallel. please Show All Work! Thanks!!
Answer:
Here You Go! I'm not really sure about this one but i tried.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To prove this we should first make a little representation to get an idea of how will proceed to work .
To solve it we should use vectors so the first step is to identify this vectors :
we have four points : A/B/C/DA(-2,-4)B(1,2)C(2,10)D(-1,4)VECTOR AB WITH VECTOR DC VECTOR AD WITH VECTOR BCNOW LET'S IDENTIFY THEIR COORDINATES :
VECTOR AB (1-(-2),2-(-4)) VECTOR DC (2-(-1),10-4)VECTOR AD (-1-(-2),4-(-4)) VECTOR BC (2-1,10-2)We get :
VECTOR AB (3,6) VECTOR DC (3,6)VECTOR AD (1,8) VECTOR BC (1,8)We notice that the opposite ones have the same coordinates so the edges are parallel .
If we want to check more we can calculate the lenghts :
AB=[tex]\sqrt{3^{2}+6^{2} }[/tex] DC=[tex]\sqrt{3^{2}+6^{2} }[/tex]So AB=DC
AD=[tex]\sqrt{1^{2}+8^{2} }[/tex] BC=[tex]\sqrt{1^{2}+8^{2} }[/tex]So AD=BC
SO ABCD IS A PARALLELOGRAM
The vector a and the vector b are shown on the grid.
y
6
a) Write a as a column vector
A
va
a
Ab
2
b) Work out 2a - b as a column
a) a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
b) 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
VectorsTo write a vector as a column vector, the number at the top is the magnitude of the x component (horizontal component) of the vector and the number at the bottom is the magnitude of the y component (vertical component) of the vector
For vector aMagnitude of the vertical component = 1
Magnitude of the vertical component = -2
NOTE: Negative sign indicates that the direction of the vector is downwards
Thus, vector a as a column vector is
[tex]a = \left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
Hence, a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]
For vector bMagnitude of the vertical component = 1
Magnitude of the vertical component = 3
[tex]b = \left(\begin{array}{c}1\\3\end{array}\right)[/tex]
Now, we are to work out 2a - b
That is,
[tex]2a -b = 2 \left(\begin{array}{c}1\\-2\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}2\\-4\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}2-1\\-4-3\end{array}\right)[/tex]
[tex]2a -b = \left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
Hence, 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]
Learn more on Vectors here: https://brainly.com/question/21807172
#SPJ1
What fraction does this number-line show? (I Put a Picture)
Answer:
1/2
Step-by-step explanation:
cuz it must be between 0 to 1 and 1/2 was in the middle so yet
The fraction number represents the position of the point on the number line will be 4/8.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
The number line is shown. There are eight sections in the number between the numbers 0 and 1.
And the point is on the fourth section of the number line. Then the position of the point on a number line is given in the numerical form and will be calculated as,
⇒ 4 / 8
The fraction number represents the position of the point on the number line will be 4/8.
More about the number line link is given below.
https://brainly.com/question/13189025
#SPJ2
In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. Repeat part (b) using a confidence level of 80%. Compare the confidence levels from parts (b) and (c) and identify the interval that is wider. Why is it wider?
Answer:
( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression
( b ) Percent wise the confidence interval should be from about 86.6% to 93.4%
Step-by-step explanation:
I believe these first two parts here is sufficient enough to get you started!
" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?
Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "
_____
( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -
514 x [tex]\frac{90}{100}[/tex]
= [tex]\frac{46260}{100}[/tex]
= 462.6
As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "
_____
( b ) Here the confidence level is 0.99 percent. Knowing that -
1 - ∝ = 0.99,
∝ = 1 - 0.99... = 0.01
Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -
0.8659 < p < 0.9341
And percent wise the confidence interval should be from about 86.6% to 93.4%
Help me answer this PLEASE !!
Answer:
1. A = 2184 yd. P = 212 yd.
Step-by-step explanation:
1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.
To find the Area you have to do this formula: H * W which means height times width.
2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle
3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.
ASAP PLEASE+ brainliest
Answer:
-2b, b/12, -0.9b
Step-by-step explanation:
They all contain the same variable, B
Answer:
B, D, and E
Step-by-step explanation:
The only terms that can be combined are like terms. The 3 like terms in this expression are the b terms: -2b, b/12, and -0.9b. These 3 can be combined since they are like terms.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
The height of a building is 300 feet and its width
is 200 feet. A scale model of the building is 6
inches high. How wide is the scale model?
Answer:
50 in.
Step-by-step explanation:
Real building:
height 300 ft
width 200 ft
Model building:
height 6 in.
width 50 in.
300/6=50
Hope this helps! :) :)
The scale model of building is 4 inches wide.
The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4
Thus, The scale model of building is 4 inches wide.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ2
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm a. L = 329.9 cm2 ; S = 373.9 cm2 b. L = 329.9 cm2 ; S = 483.8 cm2 c. L = 659.7 cm2 ; S = 483.8 cm2 d. L = 659.7 cm2 ; S = 813.6 cm2
Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
Answer:
Step-by-step explanation:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
What is the probability he chooses box B?
%
Answer:
50 %
Step-by-step explanation:
Graph the exponential model y=3(6)^x Which point lies on the graph? (-9 2) (-1, -18) (1, 18) (2, 9)
Answer:
(1,18)
Step-by-step explanation:
use a graphing calculator to graph the function
then, graph all the coordinates given and find on that's on the graph
Which of the following rational functions is graphed below?
The answer is Option B :)
The function that represents the graph is [tex]f(x)=\frac{1}{x-2}[/tex].
Option B
Given :
The graph of the function
Step-by-step explanation:
From the given graph , the vertical asymptote is at x=2
Lets find out the vertical asymptote of each function
To find out vertical asymptote we set the denominator =0
[tex]f(x)=\frac{1}{2x} \\2x=0\\x=0 \\\\\\f(x)=\frac{1}{x-2} \\x-2=0\\x=2[/tex]
The second function has vertical asymptote at x=2
Learn more :
brainly.com/question/24160521
The distance between Chicago and Cleveland is
354 miles. If a person leaves Chicago at 9:50
AM. Central Time and arrives in Cleveland at
5:30 PM the same day Eastern Time, at what
average speed, to the nearest mile, does he
travel?
A)46MPH
B)50MPH
C)53MPH
D)55MPH
Answer:
The average speed on this trip was 46.15 mph. The correct option is A.
Step-by-step explanation:
In order to calculate the average speed, we need to apply the following formula:
[tex]v_{avg} = \frac{\text{distance}}{\text{time}}[/tex]
We were given the distance between the two cities in miles, therefore we can directly apply it to the expression. Although the time was given in the hh:mm 12 h format and we need a diference in hours, so we will convert that as shown below:
[tex]\text{time departure} = 9 + \frac{50}{60} = 9.83 \text{ h}[/tex]
[tex]\text{time arrival} = 12 + 5 + \frac{30}{60} = 17.5[/tex]
The elapsed time of the trip is the difference between these:
[tex]\text{time} = 17.5 - 9.83 = 7.67 \text{ h}[/tex]
We can now apply it to the formula:
[tex]v_{avg} = \frac{354}{7.67} = 46.15 \text{ mph}[/tex]
The average speed on this trip was 46.15 mph. The correct option is A.
10 points! Please answer within next 5 minutes!
Explain how to use the distributive property to find the product (3)(4 1/ 5)
Answer:
12 3/5
Step-by-step explanation:
Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5
1. multiple 3 by 4 =12
2 multiple3 by 1/5= 3/5
3 write your awnser 4 3/5
Hoped this helped
The school's square parking lot has an
area of 3025 ft2. What is the length of each
side of the parking lot?
Answer:
70.257924 m^2
Step-by-step explanation:
Consider the system of equations in standard form. 5x + y = 25, x + 5y = –25 Keisha used the graphing calculator and identified the solution as (6, –6). Is she correct? If not, what was her mistake? Yes, Keisha is correct. No. She switched the x and y values No. She only estimated instead of hovering over the intersection to find the exact point. No. She picked a point on one line instead of the intersection point.
Answer:
No. She only estimated instead of hovering over the intersection to find the exact point.
Step-by-step explanation:
I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.
Answer:
No. She used the wrong slopes when graphing the equations.
hope this helps i did it in Edge and got it right
mark me brainliest pls
Identify the two remote interior angles that correspond to angle 4.
Answer:
1 & 2
Step-by-step explanation:
Remote interior angles are the angles inside of a triangle but not on the same straight line as the exterior angle (4)
Answer:
<1 and <2 are the remote interior angles for angle 4
Step-by-step explanation:
The remote interior angles that correspond to angle 4 are the angles that are in the triangle that are not adjacent to angle 4
<1 and <2 are the remote interior angles
how many real roots and how many complex roots are possible with a root of 9
Answer:
12
Step-by-step explanation:
because the more the root the faster the plant grows
WEATHER Starting at 1:00 P.M., the temperature changes
-4 degrees per hour. How long will it take to reach -1°?
come
PLS HELP
Answer:
d
Step-by-step explanation:
d