Answer:
[tex]\bold{\angle B = 51^\circ}[/tex]
Step-by-step explanation:
Given a [tex]\triangle ABC[/tex] such that [tex]\angle A[/tex] is the largest.
[tex]\angle A[/tex] is equal twice of [tex]\angle B[/tex]
[tex]\angle C[/tex] is 10 more than one third of [tex]\angle B[/tex]
To find:
Measurement of [tex]\angle B[/tex].
Solution:
Let [tex]\angle B =x^\circ[/tex]
As per question statement:
[tex]\angle A = 2\times \angle B=2x^\circ[/tex]
[tex]\angle C = \dfrac{1}{3}\angle B +10= \dfrac{1}{3}x +10 ^\circ[/tex]
Using the angle sum property of a triangle i.e. sum of all the three internal angles is equal to [tex]180^\circ[/tex].
[tex]2x+x+\dfrac{1}{3}x+10 = 180\\\Rightarrow \dfrac{10}{3}x =170\\\Rightarrow x = 51^\circ[/tex]
Therefore, the answer is:
[tex]\bold{\angle B = 51^\circ}[/tex]
The sum of two numbers is 11 and their difference is 5
Answer:
3 and 8
Step-by-step explanation:
3 + 8 = 11
8 - 3 = 5
Graph the linear function d(x)=−1/2x−3.
Answer:
Step-by-step explanation:
The required graph of the given function d(x)=−1/2x−3 has been shown.
Given that, to plot the graph of the linear function, d(x)=−1/2x−3.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The graph of the liner function d(x)=−1/2x−3 can be plot by putting the values of the x in the equation which gives the value of y by calculating such an ordered pair we can plot the curve of the liner equation on the graph. i.e.
At x = 0
d(0) = -1/2 * (0) - 3
d(0) = -3
So, the ordered pair will be (0, -3).
Now, put x = 2
d(2) = -1/2 * 2 - 3
d(2) = -1 - 3
d(2) = - 4
So the ordered pair will be (2, -4)
joining these two points will show the graph of the given equation d(x)=−1/2x−3.
Thus, the required graph of the given function d(x)=−1/2x−3 has been shown.
Learn more about graphs here:
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FIRST ONE GETS BRAINLEYST FREE IF CORRECT!!
Which of these statements uses transitional words to connect ideas?
A. Many states have more than one national park. Florida has the Everglades and the Dry Tortugas.
B. Arizona has a very famous national park. It is called the Grand Canyon. It is famous and draws visitors from all over the world.
C. The beautiful, lush Hawaiian islands are the home of two of the world’s most active volcanoes.
D. South Dakota's Badlands are home to a lot of wildlife, including bison, bighorn sheep, and swift foxes.
Answer:
D
Step-by-step explanation:
I had this on my quiz and said it was right. Hope this helps!
Please help me out!!!!!
Given:
The zeros of the polynomial are [tex]-2,\pm 5,4[/tex].
Degree = 4
Leading coefficient = 1
To find:
The polynomial.
Solution:
If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.
Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.
[tex]p(x)=(x+2)(x-4)(x+5)(x-5)[/tex]
[tex]p(x)=(x^2-4x+2x-8)(x^2-5^2)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]p(x)=(x^2-2x-8)(x^2-25)[/tex]
Using distributive property, we get
[tex]p(x)=x^2(x^2-25)-2x(x^2-25)-8(x^2-25)[/tex]
[tex]p(x)=x^4-25x^2-2x^3+50x-8x^2+200[/tex]
On combining like terms, we get
[tex]p(x)=x^4-2x^3+(-25x^2-8x^2)+50x+200[/tex]
[tex]p(x)=x^4-2x^3-33x^2+50x+200[/tex]
Here, the leading coefficient is 1. So, it is the required polynomial.
Therefore, the correct option is E.
A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, andher running speed,in miles per hour,when she runs at a constant speed of 5.4miles per hour for m minutes,and then at be miles per hour for n minutes
Answer:
The answer is below
Step-by-step explanation:
A student on the cross- county team runs 30 minutes a day as a part of her training. Write an equation to describe the relationship between the distance she runs in miles, D, and her running speed, in miles per hour, when she runs at a constant speed of 5.4miles per hour for m minutes, and then at b miles per hour for n minutes
Solution:
Given that the student runs for a total of 30 minutes per day. He runs at 5.4 miles per hour for m minutes, and then at b miles per hour for n minutes.
Hence:
m + n = 30
60 minute = 1 hour. Therefore, m minute = m/60 hour, n minute = n/60 hour.
The distance traveled is the product the speed in miles per hour and the time taken to cover the distance. Distance = speed * time
The total distance ran (D) is:
D = 5.4(m/60) + b(n/60)
Paras starts math class at 10:30 AM. She finishes her math class at 11:15 AM
How long is paras in the math class
Answer:
1 hr 15 mins
Step-by-step explanation:
Answer
45
Step-by-step explanation:
30+15=45
Please help The sum of two numbers is 36 and the difference is 6. What are the numbers?
Answer:
15 and 21
Step-by-step explanation:
Answer:
15 and 21
Step-by-step explanation:
Please help on what you can !
Step-by-step explanation:
Number of books : 4 6 8 10
Total Price : $10 $15 $20 $25
Hope this helps! :3
plz mark as brainliest!
Car sales increased steadily from March to August *
True
False
Answer:
i think it is true
Step-by-step explanation:
mark me as brainliest and follow and like my answer
Answer:
False
Step-by-step explanation:
Car sales increased steadily from
May to July
As you can see I have pointed the months with red dots
Chris's age is 17 more than one-fourth of Brian's age. How old is Chris if Brian is 27?
Answer:
23.75
Step-by-step explanation:
Given that:
Brian's age = 27
Age of Chris is 17 more than one - fourth of Brian's age.
To find:
Age of Chris = ?
Solution:
Let age of Chris = [tex]x[/tex]
One - fourth of Brian's age = [tex]\frac{27}{4}[/tex]
17 more than One - fourth of Brian's age = [tex]\frac{27}{4}[/tex] + 17
Therefore, we can write the equation as per question statement:
[tex]x = \frac{27}{4} + 17\\\Rightarrow x = 6.75+17\\\Rightarrow \bold{x = 23.75}[/tex]
Therefore, Chris is 23.75 years old if Brian is 27.
a recipe calls for 3 parts water to 1 part milk. how much milk will you need if you use 12 mL of water?
Answer:
3mL
Step-by-step explanation:
What is the x-intercept of the line containing the points (-6, 10) and (12,-2)
HELP AGAINNNNNNNNNPLSPLS
Answer:
the answer is C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
factor 147a^2b-675b^3
Answer:Factor the polynomial
3(a−4b)2
(3,-8), (3, 2), (6, -1), (2, 2)) (-6, 3), (2,-2), (0, 8), (1, 1))
Answer:
yeet
Step-by-step explanation:
yeet
need some help (Geo)
Answer:
A 60
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
there are 2 ways to solve this...
1st, y=60 by the vertical angles theorem
2nd, x=120 by the linear pair postulate (x + 60 = 180)
next, y=60 because y + 120 = 180
Answer this Question plz and thank you and don’t forget to explain your answer because that’s what I need
Answer:
decrease
12%
Step-by-step explanation:
the number went down
3.499*0.88=3.097
so 12% decrease in price
Sam and liam raced each other up and down the hill. Sam's avrage speed up hill was 1 mph, and his avrage speed down hill is 9 mph. Liam ran up and down the hill with the same speed 2 mph.If the path from the bottom of the hill is 1 mile long, how much time did it take the boys to finish-and who is the winner?
Answer:
a. i. 1.11 h ii. 1 h. b. Liam
Step-by-step explanation:
a.
i. Sam's time
We know distance d = vt where v = speed and t = time.
Since our distance here is the length of the path, d = 1 mile.
For Sam, his speed up the hill is v = 1 mph, so, the time it takes him to go uphill is t = d/v = 1 mi/1 mph = 1 h.
He goes down hill at a speed of v = 9 mph, so the time it takes him to go down hill is t = d/v = 1 mi/9 mph = 1/9 h = 0.11 h
So, the total time it takes him to complete the trip is t = 1 h + 0.11 h = 1.11 h
ii. Liam's time
For Liam, his speed both uphill and downhill is v = 2 mph, so, the time it takes to cover each trip is t = d/v = 1 mi/2 mph = 0.5 h.
So for both uphill and downhill trip, the total time is t' = 2 × 0.5 h = 1 h
b. Since Liam's time t' = 1 h < Sam's time t = 1.11 h, that is t' = 1h < t = 1.11 h, Liam is the winner.
Please help will give thank, brainliest, and 5 stars!
Answer:
Correct
Step-by-step explanation:
Answer:
your right its 19000
Step-by-step explanation:
PLEASE I NEED HELP!!!!!!!! BRAINLIEST AND POINTS!!!!!
Step-by-step explanation:
[tex] {a }^{2} + {b }^{2} \: = {c }^{2} \\ {10}^{2} + {26}^{2} = {c}^{2} \\ 100 \: + \: 676 \: = \: {c}^{2} \\ 776 \: = {c}^{2} \\ c \: = 27.9[/tex]
Suppose a skydiver (mass = 80 kg) is falling toward the Earth. Calculate the skydiver’s Gravitational Potential Energy at the point when the skydiver is 100 m above the Earth.
Thanks ahead of time!
Step-by-step explanation:
Gravitational potential energy = mgh = (80)(9.81)(100) = 78,480J.
Can someone help me?
Answer:
sorry bruv wish you the best i will pray for you
Step-by-step explanation:
find the values
using
expansion formula
1) 1.5×2.5
Answer:
[tex]3.75[/tex]
Step-by-step explanation:
[tex]1.5 \times2. 5 \\ = 3.75[/tex]
Please can I have the brainliest?
Have a nice day!
A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of x.
Answer:
114 degree
Step-by-step explanation:
A new backpack costs $45.00 plus 7.4% for sales tax. Find the amount of tax you would have to pat for the backpack.
Answer:
$48.33
Step-by-step explanation:
1. Find the amount of the sales tax by multiplying the tax percentage by the sales price.
$45 × 7.4% = $3.33
2. Add the amount of the sales tax back to the sales price.
$45.00+$3.33 = $48.33
what does (2,12) represent
Answer:
An ordered pair
Step-by-step explanation:
Read the proof.
A 2-column table with 3 rows. Column 1 has entries 1, 2, 3. Column 2 is labeled Step with entries sine (2 x) = sine (x + x), question mark, sine (2 x) = 2 sine (x) cosine (x).
What is step 2?
A. sin(2x) = cos(x)cos(x) – sin(x)sin(x)
B. sin(2x) = sin(x)cos(x) – sin(x)cos(x)
C. sin(2x) = cos(x)cos(x) + sin(x)sin(x)
D. sin(2x) = sin(x)cos(x) + sin(x)cos(x)
Answer:
D
Step-by-step explanation:
The answer is D on Edge 2020
The missing step in the table is sin(2x) = sin(x)cos(x) + sin(x)cos(x), the correct option is D.
What is a Trigonometric Ratios?Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.
The step 1 in the table is
sin (2x) = sin (x+x)
The step 3 is
sin (2x) = 2 sine (x) cosine (x)
The step 2 is obtained by the trigonometric identity
sin (x+y) = sinx cosy + cosx siny
So,
sin (x+x) = sinxcosx+sinx cosx
sin (2x) = sin(x)cos(x) + sin(x)cos(x)
To know more about Trigonometric Ratios
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5) through: (2, 4) and (4.-5)
A graph for 2x − 5y = −10
Answer:
Step-by-step explanation:
What is the value of the expression
3/5 (x-8) - y
When x=15 and y=1/10
A 11/10
B 21/10
C 31/10
D 41/10
Answer:
D 41/10
Step-by-step explanation:
substitute the values given into the equation. Calculate.
Answer:
D: 41/10
Step-by-step explanation: