Answer:
AC is greater than BC
Step-by-step explanation:
First, we know that the angle of a straight line is 180°, so angle B as a whole is equal to 180 degrees. Therefore, angle YBC + angle ABC = 180 degrees. As angle YBC is a right angle, signified by the small square on the angle, it is 90 degrees. Therefore,
90 degrees + angle ABC = 180 degrees
subtract 90 degrees from both sides to isolate angle ABC
angle ABC = 90 degrees
Therefore, as angle ABC is equal to 90 degrees, and a right angle is 90 degrees, triangle ABC has a right angle, making it a right triangle.
In a right triangle, using the Pythagorean Theorem, the square of the side opposite the right angle is equal to the sum of the squares of the other side. Since side AC is opposite the right angle, we can say that
AC² = AB² + BC²
As the length of a side has to be greater than 0, we can say that
AC² = AB² + BC²
AB² > 0
AC² > BC²
square root both sides
AC > BC
Therefore, AC is greater than BC
There are 25 employees in a office.22 have cell phones 19 have cars, and 2 have niether. How many employees have both.
Answer:
18
Step-by-step explanation:
Let the number of employees with both cell and car be b. Using a Venn diagram shown above,
19 + 22 - b + 2 = 25
43 - b = 25
b = 18
what is the percentage of 690 out of 800
Answer:
the percentage of 690 out of 800 is 86.25%
Step-by-step explanation:
690/800 = 0.8625
0.8625*100 = 86.25
hope it helped :)
mark me brainliest
Answer:
86.25%
Step-by-step explanation:
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours. How many total miles did the Ramos family drive? Miles
Answer:
ok so first they drove 55 for 3 hours so
55*3=165
and then they drove 45 for 2 hours
45*2=90
165+90=255
so in total they drove 255 miles
Hope This Helps!!!
The solution is : 255 miles total miles did the Ramos family drive.
What is speed?Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
here, we have,
given that,
The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.
we get,
Journey before lunch:
Speed = 55 mph
Time = 3 hrs
distance = 55*3 = 165 miles.
Journey after lunch:
Speed = 45 mph
Time = 2 hrs
distance = 45 * 2 = 90 miles
Total miles driven
= distance traveled before lunch + distance traveled after lunch
= 165 miles + 90 miles
= 255 miles
Therefore, the Ramos family drove 255 miles in total.
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If f(x) = 2x2 + 1, what is f(x) when x = 3?
Answer:
18
Step-by-step explanation:
f(x)=2x(2+1)
f(3)=2(3)(2+1)
=6(2+1)
=12+6
=18
hi can you help me in mate plis
simplify the following algebraic expressions
Answer:
3b
Step-by-step explanation:
[tex]\dfrac{24a^2b^4c^3}{8a^2b^3\sqrt[3]{c^9}} =[/tex]
[tex] = 3a^{2 - 2}b^{4 - 3} \times \dfrac{c^3}{c^\frac{9}{3}} [/tex]
[tex] = 3a^{0}b^{1} \times \dfrac{c^3}{c^3} [/tex]
[tex] = 3bc^{3-3} [/tex]
[tex] = 3bc^{0} [/tex]
[tex] = 3b [/tex]
help me pls beestar is not fun
Answer:
C. 3/9
Step-by-step explanation:
First, you need to understand what the tree diagram means.
You spin a three-color spinner once. You can get one of three results:
green, blue, or yellow. This is shown in the figure under "1st spin."
Now you spin the spinner a second time. This second spin can also have three outcomes, green, blue, or yellow. For each of the three outcomes of the first spin, you can have 3 different outcomes of the second spin. That is shown under the "2nd spin."
That means there are 9 possible outcomes (numbered from 1 to 9 below):
1. green, green
2. green, blue
3. green, yellow
4. blue, green
5. blue, blue
6. blue, yellow
7. yellow, green
8. yellow, blue
9. yellow, yellow
Each of the 9 outcomes above shows the outcome of the first spin followed by the outcome of the second spin. As you can see there are 9 different outcomes of the two spins.
Now count the number of outcomes that have the same color for the first and second spin. They are shown in bold below.
1. green, green
2. green, blue
3. green, yellow
4. blue, green
5. blue, blue
6. blue, yellow
7. yellow, green
8. yellow, blue
9. yellow, yellow
3 out of 9 outcomes are the same color twice.
Answer: C. 3/9
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
Answer:
1866.10604
Step-by-step explanation:
V=3.14(r sqaured)1/3h
what is the measure of < B ? help !!
The choose (C) 60
The measure of the angles of a triangle is 180, and this triangle is equilateral, so 180/3=60, each angle is 60°
which number produces a rational number when added to 0.25
0.65 is the correct one if not up there try 0.45 other possible one
Step-by-step explanation:
A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.
in the diagram above,PQR=125°, QRS=r,RST=80°and STU=44°. Calculate the value of r
Answer:
∆ PQR is congruent to ∆ STU
This means --
P = S
Q = T
R = U
R = 80°
S = P = 70°
So in ∆PQR, we know R = 80° , P = 70° and Q = ?
Using angle sum property of triangle,
P+ Q + R = 180°
70° + 80° + Q = 180°
150° + Q = 180°
Q = 30°
Hope This Helps :D
SOMEONE HELP ME QUICK!!!
Answer:
75% probability
Step-by-step explanation:
calculating the total ratio and percentage
I got stuck but if someone could help me with this question it’d be greatly appreciated!
Answer:
In step 1 she multiplied the numerators together and denominators together instead she should have done this
30*5 = 12*x
150=12x
150÷12=x
12.5=x
ANSWER PLZ ILL GIVE BRAINLIEST FIRST PERSON WHO ANSWER IM BEGGING
Answer:
The slope is 9.
Step-by-step explanation:
Answer:
Slope = 9
Step-by-step explanation:
Slope intercept form is y = mx +b (where m is slope and b is y intercept).
Here, m= 9 (slope) and b=0 (y intercept)
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
Step-by-step explanation:
we are given two conditions
two integers whos product is -12two integers whos sum is 1let the two integers be x and y respectively according to the first condition
[tex] \displaystyle xy = - 12[/tex]
according to the second condition:
[tex] \displaystyle x + y = 1[/tex]
now notice that we have two variables therefore ended up with a simultaneous equation so to solve the simultaneous equation cancel x from both sides of the second equation which yields:
[tex] \displaystyle y = 1 - x[/tex]
now substitute the got value of y to the first equation which yields:
[tex] \displaystyle x(1 - x) = - 12[/tex]
distribute:
[tex] \displaystyle x- {x}^{2} = - 12[/tex]
add 12 in both sides:
[tex] \displaystyle x- {x}^{2} + 12 = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle - {x}^{2} + x + 12 = 0[/tex]
divide both sides by -1:
[tex] \displaystyle {x}^{2} - x - 12 = 0[/tex]
factor:
[tex] \displaystyle ({x} + 3)(x - 4) = 0[/tex]
by Zero product property we acquire:
[tex] \displaystyle {x} + 3 = 0\\ x - 4= 0[/tex]
solve the equations for x therefore,
[tex] \displaystyle {x}_{1} = - 3\\ x _{2} = 4[/tex]
when x is -3 then y is
[tex] \displaystyle y _{1}= 1 - ( - 3)[/tex]
simplify
[tex] \displaystyle y _{1}= 4[/tex]
when x is 4 y is
[tex] \displaystyle y _{2}= 1 - ( 4)[/tex]
simplify:
[tex] \displaystyle y _{2}= - 3[/tex]
hence,
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
Which numbers are solutions to the inequality X > 14- 5? Check all that apply.
fractions larger than
14.
decimals larger than 14
145
whole numbers larger than 14
the number 14
fractions smaller than 14
2
Answer:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
Step-by-step explanation:
Which numbers are solutions to the inequality x greater-than 14 and one-half? Check all that apply.
Given that the inequality is represented by [tex]x>14\frac{1}{2}[/tex], i.e. x > 14.5
This inequality represent all the set of real numbers which are greater than 14.5. Whereas numbers including 14.5 and below are not involved. Hence the numbers that are a solution to this inequality are:
fractions larger than 14 and one-half
decimals larger than 14 and one-half
whole numbers larger than 14 and one-half
solve the following problems
Arby's age is 6 years less than 7 times Anna's age. If Anna's age is x years, which expression best shows Arby's age?
A = x
B = 7x - 6
C = x - 1
D = 6x - 7
B = 7x - 6 is the correct answer.
What is the shape of this distribution? A. Unimodal skewed B. Uniform C. Bimodal symmetric D. Unimodal symmetric E. Bimodal skewed
Answer:
D
Step-by-step explanation:
It can't be C and B since it doesn't have two parts, and if it was uniform it would have another part attached to the bottom. Moreover, it can't be A since it isn't positively skewed or negatively skewed, so it must be D.
The shape of this distribution is Unimodal symmetric.
Option D is the correct answer.
What is a histogram?A histogram is a representation of the distribution of data with intervals.
We have,
In statistics, a distribution is considered unimodal symmetric if it has a single mode or peak and is symmetric around that mode.
This means that the data is evenly distributed on both sides of the mode and is equally likely to occur on either side.
A common example of a unimodal symmetric distribution is the normal distribution, also known as the Gaussian distribution or bell curve.
Thus, the shape of this distribution is Unimodal symmetric.
Learn more about histograms here:
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Find the scale factor for the given two similar rectangles.
A. 1/3
B. 1/4
C. 1/5
D. 1/6
HELPPPPP!!!!!!!!!!!!
Answer: A) 1/3
Explanation: ok the left triangle is 9 and 27 and the right triangle is 3 and 9
The way you find this is saying what can you multiple the smaller numbers to get the big numbers, so 9 x 3 = 27 and 3 x 3 = 9 which is the bigger triangles area. The easiest way to do this in the future is take the biggest numbers and divide them by the denominated in your answer choices because if you took 27 and 9 / 3 you would get the numbers on the right side triangle. Good luck in the future :)
find the distance between the points (-3,-2) and (1,-5)
HELP ASAP PLEASE NOWWWW!!!!!!!!!!!!!!!
(x - [3])² + (y- [2])² = 16
What is the value of x? 160° 51°
Answer:
51= 1/2(160-x)
102=160-x
x=160-102=58
Step-by-step explanation:
Express 28 as the sum of three prime numbers
a) 3, 11 and 13
b) 5, 11 and 13
c) 2, 7 and 19
d) 2, 5 and 13
Answer:
a
Step-by-step explanation:
because is a ok yo12222122221112w
Answer:
Option C is correct
Step-by-step explanation:
[tex]3 + 11 + 13 = 27[/tex]
[tex]5 + 11 + 13 = 29[/tex]
[tex]2 + 7 + 19 = 28[/tex]
[tex] 2 + 5 + 13 = 20[/tex]
Hope it is helpful....
[tex]solve : - \\ \\ factorise \: (x {}^{2} + 30x + 216) \\ \\ please \: help \: [/tex]
Answer:
[tex](x+12)(x+18)[/tex]
Step-by-step explanation:
[tex] {x}^{2} +30x+216[/tex]
[tex](x+12)(x+18)[/tex]
Hope it is helpful....x²+30x+216
on factorizing we get
(x+12)(x+18)
Therefore, x= -12 or -18
In a class of 55 students, 15 students like Math but not English and 18 students liked English but not Math. If 5 students did not like both, how many students liked both subjects? Represent the above information in a Venn-diagram.
Emmy just bought a new laptop! She used a student discount code that took $50.75 off the original price. The discounted price of the laptop was $349.24. Let p represent the original price of the laptop. Which equation models the problem?
Answer:
can you show the equations?
Find the equation of the line through the points (6, -9) and (-2, -1).
Simplify:
(a) 78.5 ÷ 3.14
(b) 56.272 x 41.2
(c) 4 2 9 x 3 3 8 x 7 1 2
(d) 4 4 7 ÷ 5 1 3
Answer:
78.5÷3.14=25
56.272×41.2=2318.4064
429×338×712=103241424
447÷513=0.8713450292
Step-by-step explanation:
hope it will help!
what is the binary 11110-10101
PLISSSSSSSS HELPPPPP!!!!!!!!!!!!!!!!!!!!!
I will give brainliest............