Answer:
since those are angles on a straight line.
we work out as follows
x+126°=180°x+126°-126°=180°-126°x=54°∠DBA and ∠DBC are making linear pair.
Linear pair of angles are formed when two lines intersect each other at a single point.
The sum of angles of a linear pair is always equal to 180°[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]
[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]
Find the volume of this cone.
Use 3 for TT.
5in
Tr2h
3
8in
V
V ~ [?]in3
Answer:
50 in ^3
Step-by-step explanation:
V = 1/3 pi r^2 h
We know that pi = 3
the diameter is 5 so the radius is 1/2 the diameter of 5/2 = 2.5
The height is 8
V = 1/3 ( 3) ( 2.5)^2 ( 8)
V = 50 in ^3
What is the quotient of 7.81 x 106 and 7.1 x 103 expressed in scientific notation?
Answer:
8.2786 x 10 to the second power, 7.313 x 10 to the second power
Step-by-step explanation:
In right triangle ABC
a.30°
b.45°
c.60°
d.75°
Answer:
c
Step-by-step explanation:
30°+90°+x=180° (the sum of interior angle of a triangle is 180°)
120°+x=180°
x=180°-120°
x=60°
Which graph represents the function f(x) = (2)x + 2?
Answer:
The last graph
Step-by-step explanation:
What is the domain of the square root function graphed below?
Answer:
Answer:
The domain is x ≥ 3
Simplify the following expression:
-3(x+6)+8x
3x-25
5x-22
-11+3x
5x-18
Answer:
5x -18
I hope this helped! have a nice day! :)Answer:
5x+18
Step-by-step explanation:
Drag an answer to each box to complete this paragraph proof. can u tell me what is this for
Answer: its for an assignment
Step-by-step explanation:
Consider the expression
-4b + 8c + 12 - 8b - 2c + 6.
Part A
Factor the simplified expression using the GCF.
Answer:
-12 b + 6 c + 18
Step-by-step explanation:
-4 b + 8 c + 12 - 8 b - 2 c + 6
After simplification, the correct value is,
⇒ 6 (- 2b + c + 3)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We haver to given that;
The expression is,
⇒ -4b + 8c + 12 - 8b - 2c + 6.
Now, We can simplify by combine like terms as;
⇒ -4b + 8c + 12 - 8b - 2c + 6.
⇒ - 12b + 6c + 18
And, GCD of 12, 6, 18 = 6
Hence, Take 6 as common as;
⇒ - 12b + 6c + 18
⇒ - 2×6b + 6c + 3×6
⇒ 6 (- 2b + c + 3)
Therefore, The solution of the expression is,
⇒ 6 (- 2b + c + 3)
Learn more about the mathematical expression visit:
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I need help with this math problem
9514 1404 393
Answer:
quiz score if no homework is done
Step-by-step explanation:
The y-intercept is the point where the horizontal coordinate is zero. That axis is defined as "hours per week spent on homework". So, the y-intercept is the function value when zero hours per week are spent on homework.
The function value is defined as "expected quiz score".
Then the y-intercept is ...
the expected quiz score when zero hours per week are spent on homework
Help with this question please!
Answer:
Step-by-step explanation:
6cos^2(x) + 7cos(x) +2 = 0
Call cos(x) = y to change this to something a little bit more familiar.
6y^2 + 7y + 2 =0
This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)
This equation factors into 2 possible answers
(3y + 2)(2y + 1) = 0
3y + 2 = 0
3y = - 2
y = - 2/3
2y + 1 = 0
2y = - 1
y = - 1/2
Now let's start with
cos(x) = - 1/2
That means that x is in quadrant two or three.
cos-1(1/2) = 60 degrees.
Quad 2: x = 180 - 60 = 120
Quad 3: x = 180 + 60 = 240
Now cos(x) = - 2/3
cos-1(2/3) = 48.19
Quad 2: x = 180 - 48.19 = 131.81
Quad 3: x = 180 + 48.19 = 228.19
Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
D. Exponential growth
Step-by-step explanation:
Hope this helps
Function that is similar to exponential.
Option (A) is correct.
What is exponential decay?Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y=a(1-b)^{x}[/tex] wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
We can observe that
First, y increases as x increases
Last it is a function that is similar to exponential.
Function is an exponential decay.
Option (A) is correct.
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plz help me..... ....
Answer:
Step-by-step explanation:
Read the following problem: "Find the number, if the sum of 9 and a half a number equals 35." Which of the following translations is correct?
9 + x + 2 = 35
9 + 2x = 35
9 +35 = 2x
None of these choices are correct.
Write the equation in slope-intercept form. y = 6(x + 2) + 5x
Answer:
y=11x+12
Step-by-step explanation:
y = 6(x + 2) + 5x
y=6x+12+5x
y=11x+12
in slope interception form= y=mx+c
y=11x+12
Plz help........
1. -1114 ÷ ( - 117)
2. -212 ÷ ( -123)
3. - 512 ÷ 58
4. 27 ÷ ( -79)
Answer:
1. 1114/117 2. 212/123 3. -256/29 4. -27/79
Step-by-step explanation:
1. 1114/117
2. 212/123
3. -256/29
4. -27/79
Use the distributive property to write the expression without parentheses.
6(3a-2)
Answer:
18a - 12
Step-by-step explanation:
6(3a-2)
6*3a - 6*2
18a - 12
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]18a - 12[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying...}}\\\\6(3a-2)\\-----------------\\\rightarrow \text{Distribute the '6' into '3a' and '-2'.}\\\\\rightarrow 6 * 3a = 18a\\\\\rightarrow 6 * -2 = -12\\\\\\\text{Therefore:}\\\\6(3a-2)\rightarrow \boxed{18a - 12}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
You want to decrease a biscuit recipe by half. The recipe calls for 14 cups of milk. How much milk would you use.
Answer: You would use 7 cups of milk.
Step-by-step explanation:
Half of 14 is 7.
how much cost Rs 1136 when it is 10% discount and 13% vat is added then find out the discount and Vat amount
Answer:
Rs 1155.3
Step-by-step explanation:
1136 * .1 = 113.6
1136 - 113.6 = 1022.4
1022.4 * 1.13 = 1155.3
In your own words what is the absolute value of a number?
Answer:
see below
Step-by-step explanation:
The absolute value is the distance from zero.
It is the non-negative quantity.
please help me out :))))
Answer:
Angle BCD=35°
HOPE IT HELPS
A train station is between the towns Antville and Bugville. The station is four times as far from Bugville as it is from Antville. If the distance from Antville to Bugville is 95 km, how far is it from Antville to the station?
Answer:
237.5 or 238
Step-by-step explanation:
95km=10
95km×10=950
950÷4= 237.5cm
approximately 238
recurring decimals to fractions and give Convert the following she answer a simplest form 0•28 when 8 is recurring
Answer:
13/45
Step-by-step explanation:
x = .2888888888
100(x + .2888888)
100x + 28.8888
10x + 2.88888
90x = 26
x = 26/90 = 13/45
-5 (k+4) > 2 - (3k+6)
I believe that the answer you are looking for is -8>k, or k<-8.
Solution/Explanation:
First, writing out the inequality,
-5(k+4) > 2-(3k+6)
Next, using the Distributive Property on both sides,
-5k-20 > 2-3k-6
Simplifying the right side just a little bit more,
-5k-20 > -3k-4
Adding 5k to both sides,
-5k+5k-20 > -3k+5k-4
-20 > 2k-4
Now, adding 4 to both sides,
-20+4 > 2k-4+4
-16 > 2k
Finally, dividing 2 from both sides,
So, therefore, the final answer is -8>k, or k<-8.
I hope this helped answer your question. Enjoy your day, and take care!
For his science project, Chip decided to test how well plants grew with fertilizer. He started off by planting seeds in three different pots and labeling each of the plants. Plant A had no fertilizer. Plant B had the recommended amount of fertilizer. Plant C had four times the recommended amount of fertilizer. For ten consecutive days he measured the height of each plant in centimeters. The follow ing table shows his results. Which plant grew the most from Day 7 to Day 9?
Now in pot experiments the most important point is to have the same number of plants per pot. To achieve this you plant more seeds and then you thin them after emergence to keep the same number of uniform plant per pot.
Now for calculating fertilizer rate of application in pots, you calculate according to soil weigh as you correctly indicated 2.2 M Kg/ha. You don't have to weigh the soil, just use the bulk density to calculate weigh from volume. Forget about space in pot experiment. you will have a lot of problems since pots have different shapes and forms!
Another recommandation mix soil and fertilizers for each treatment for the number of replicate pots. If you are using 5 replicates pot of 2 Kg soil/ pot, mix the fertilizers you want to apply to the 5 pots with 10 Kg of soil and after mixing well (preferably mechanically) distribute the same volume of soil in each one of the 5 pots.
If the amount of fertilizer to apply is small mix with some soil first and mix well before mixing to the whole soil. The idea is to have as much as possible, a uniform distribution.
You might also consider fractionating you nitrogen source if it will be leached.
Now according to the exact aim of your work other method sof fertilizationare possible.
Finally remember that maize is a mycorrhizal plant and this beneficial symbiosis can be influenced by the amount of soluble P you are adding.
Wishing you a lot of success in your work
hope it's help you plz mark as brain list.......!!!!!!!!!!!!!!!!
hope it will helps you
ashley here
An ice-making machine needs to be switched on
for 10 minutes before the production of ice begins.
The mass, in tờnnes, of ice produced is directly
proportional to the number of hours of production.
Given that 20 tonnes ofâce are produced when the
machine runs for half an hour, find the mass of ice
manufactured when the machine runs for
1.75 hours
Since the question explicitly stated that ice production is proportional to time, we're going to have to use proportion fractions. Remember to convert hours into minutes as well.
Mr. Hamilton decorates his U.S. History classroom by putting up pictures of the presidents. The wall is 9.75 feet long. In the center, there is a window that is 5 ¾ feet long.
Each president's picture is 6 inches wide.
4. How would your answer change if the pictures were 10 inches wide? Explain.
Answer:
The number of pictures changes from 8 to 4.
Step-by-step explanation:
I assume the first question was the number of pictures that could be placed when the pictures are 6 inches wide.
Let's first answer the first question.
Wall length: 9.75 ft
Window: 5¾ ft = 5.75 ft
Available wall space for pictures:
9.75 ft - 5.75 ft = 4 ft
Now we convert 4 ft to inches.
1 ft = 12 inches
4 ft = 4 * 12 inches = 48 inches
There is 48 inches of wall space to place pictures that measure 6 inches each.
48 inches / 6 inches = 8
Originally, there is room for 8 pictures.
Question 4.
Each picture is 10 inches wide.
There is still 48 inches of wall space for the pictures.
48 inches / 10 inches = 4.8
There is room for 4.8 pictures. Since Mr. Hamilton will place only whole picture, he can only place 4 pictures now.
Answer: The number of pictures changes from 8 to 4.
What is the volume of a sphere with a radius of 49.5 in, rounded to the nearest tenth of a cubic inch?
Answer:
Below
Step-by-step explanation:
To find the volume of a sphere you can use this formula!
V = 4/3πr^3
Plugging in the values....
V = 4/3π(49.5)^3
V = 5.08047 × 10^5
V = 5.1 x 10^5 in^3
If you wanted to write this is standard form it would be
V = 508047 in^3
Hope this helps!
Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.
Answer:
Step-by-step explanation:
369 = x + (x+2) + (x+4)
369 = 3x + 6
363 = 3x
121 = x
now that we know that x = 121, we can solve the equation by plugging in the variable
369 = x + (x+2) + (x+4)
369 = 121 + 123 + 125
369 = 369
The smallest three integers are 121,123 and 125.
Let, the smallest odd integers be n
Then according to the given condition,
[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]
So, the numbers are,
[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]
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find the supplement of 3/4 of a right angle
Answer:
Step-by-step explanation:
¾*90=67.5
180-67.5=112.5°
Answer:
60°
Step-by-step explanation:
You can see the explanation in the picture
what is the product of 5 1/2 and 1 2/7
Answer:
[tex]\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]
Step-by-step explanation:
[tex]5\frac{1}{2}[/tex] × [tex]1\frac{2}{7}[/tex]
Step 1. Convert the mixed fractions into an improper fraction (by multiplying the denominator by the whole number and adding the numerator with de denominator to the result)
Answer:
[tex]5\frac{1}{2}=[/tex] [tex]2[/tex] × [tex]5+1=[/tex] [tex]\frac{11}{2}[/tex]
[tex]1\frac{2}{7}=[/tex] [tex]7[/tex] × [tex]1+2=\frac{9}{7}[/tex]
Step 2. Multiply (by multiplying numerator by numerator and denominator by denominator)
Answer:
[tex]\frac{11}{2}[/tex] × [tex]\frac{9}{7}=\frac{99}{14}[/tex] or [tex]7\frac{1}{14}[/tex]
Answer:
The product of 5 1/2 and 1 2/7 is 7 1/14
Step-by-step explanation:
Turn the mixed numbers into improper fractions.
11/2 * 9/7
Multiply.
11/2 * 9/7 = 99/14
Turn into a mixed number.
99/14 = 7 1/14
Hope this helps!