Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.
Step-by-step explanation:
Wee will represent the first angle by f,the second by s, and the third by t.
If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation s= 2f-3 .
The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .
Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.
f+ (2f+8) + (2f -3) = 180 Combine like terms on the left side
5f + 5 = 180
-5 -5
5f= 175
f = 35
So the first angle is 35 degrees.
Second angle.
s=2(35) - 3
s= 70 -3
s = 67
The second angle is 67.
Third angle.
t = 2(35) + 8
t= 70 + 8
t= 78
The third angle is 78 degrees.
Now add the angles up to see if they equal 180 degrees.
35 + 67 + 78 = 180
180 = 180
Find the derivative of the function. g(x) = ∫5 x 4 x u2 − 1u2 +1 dug'(x) = g
Answer:
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
Step-by-step explanation:
The question can be better structured and represented as :
[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]
now the derivative of the function of g(x) is g'(x) which is equal to:
[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
A road map is drawn to the scale of 1 inch equals 20 miles. How far apart in miles are two towns which are 2 1/2 inches apart on the map?
50
Step-by-step explanation:
You set this up with a ratio, 1:20 or 1 equals 20 miles. So i'm multiplying by 20 regardless. Now I have 2 and a half inches or you can say 2.5. Multiply 2.5 (on paper..) and 20 and there you go. 20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.
The age of Noelle’s dad is 6 less than 3 times Noelle’s age. The sum of their ages is 74. Find their ages
the quotient of 15 and y
Answer:
Because we are working with a variable (y) and we don't know what number it represents, we can only write down what the calculation would be, but we can't get the actual number answer.
15/y
Step-by-step explanation:
A quotient is the answer to a division.
The statement "the quotient of 15 and y" can be written as 15/y
We have,
The statement "the quotient of 15 and y".
This can be written as,
15/y
The expression "15/y" represents the quotient of 15 and y.
When you divide 15 by y, you are calculating the quotient or the result of the division.
The numerator (15) represents the dividend, which is the number being divided, and the denominator (y) represents the divisor, which is the number by which you divide.
Thus,
The statement "the quotient of 15 and y" can be written as,
15/y
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Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.” The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides. The hypothesis is: it is a trapezoid. The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides. The conclusion is: it is a trapezoid.
Answer: A,B,E
Step-by-step explanation:
The statement is "The conclusion is: it is a trapezoid." the correct option is D.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
We are given that;
The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”
Now,
The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":
It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”
The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.
The conclusion is: it is a trapezoid.
Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."
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Where in real life do you work with radical expressions and functions? Give an example of your own.
Answer: Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations.
Step-by-step explanation: Example: √x+y
√16
12+√x
√3*x²
Which phrase should be inserted in the line to make a true statement? 2/3 is _____ 8/12 A. Is greater than B. Less than C. Cannot be compared.D.is equal to (HELP I NEED THIS HURRYY PLSSSS)
Answer:
the answer is equal because 8/12=2/3 so 2/3=8/12 (2/3)
Step-by-step explanation:
A serving of small frozen casserole is 1/3 of the pan. If you eat 1/4 of the pan, what fraction of a serving have you eaten
Answer:
If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.
Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:
33 = 100
25 = X
(25 x 100) / 33 = X
2500/33 = X
75.75 = X
25/33 = X
Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.
Which expression is equivalent to –3 – 3x – 1 + x?
2x – 4
–2x + 4
–2x – 4?
4 – 2x
Answer:
-2x-4
Step-by-step explanation:
-3-1-3x+x
-4-2x
Answer:
-2x-4?
Step-by-step explanation:
Assignment on Edge 2021
⊂(®ω®)⊃
If f(2) = 12 and f '(x) ≥ 3 for 2 ≤ x ≤ 5, how small can f(5) possibly be?
Answer:
21
Step-by-step explanation:
From our previous knowledge, if f'(x) = m ,
Then f(x) = mx+c
For a smaller value of f(5), m should be the smallest possible integer if m = 3
i.e. f(x) = 3x+c
replacing the value of x with 2 given from the question to get the value of c, we have:
f(x) = 3x+c
f(2) = (3×2)+c
where; f(2) = 12
12 = 6+c
- c = -12 + 6
- c = - 6
c = 6
Now, f(x) can now be;
f(x) = 3x + 6
f(5) = (3×5)+6
f(5) = 15 + 6
f(5) = 21
Therefore, smallest possible value of f(5) is 21
M=3 what is (5m-m3)+m(9m-25)=
Answer:
-6Step-by-step explanation:
[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]
Substitute : m=3 into the given equation
[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]
2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minus 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.
Answer:angle 1 and 3 measure 29 degrees.
angle 2 and 4 measure 151 degrees.
Step-by-step explanation:
Answer:
29 and 151
Step-by-step explanation:
Martin spent $68 on a new drone that he had been saving for. Now, he has
$41 left in his savings jar. Click the equation that could be used to find the total
of his savings, s, before he bought the drone,
S + 68 = 41
S - 68 = 41
68
68 - s = 41
= 41
How many dollars did Martin have saved before he bought the drone?
dollars
Answer:
The answer is 109
Step-by-step explanation:
i'm too lazy to explain the math but that's the answer
Prasha has five blocks of wood The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood. Step by step please :).
The weight of the other block of wood is 400 grams.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Prasha has five blocks of wood the total weight of all five blocks of wood is 3 kilograms.
4 of the blocks of wood each have a weight of 650 grams.
∴ (4×650) = 2600 grams is the total weight.
So, the weight of the other block of wood is (3000 - 2600) grams.
= 400 grams.
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I need this right now please
What is the slope of the line in the graph?
Edit: I have poor vision! My anwser was incorrect
Answer: m= -3/4
Step-by-step explanation:
can start by looking at the squares of the graph and do the rise over run
. Since it goes down it’s fall over crawl. -3/4
3.60 rounded to the nearest tenth
Answer:
3.6 its already rounded just take off the 0
The requried when rounding 3.60 to the nearest tenth is given as 3.60.
When rounding a number to the nearest tenth, we consider the digit immediately to the right of the tenth place. In this case, the number is 3.60.
The digit in the hundredth place is 0. Since it is less than 5, we do not need to round up. When rounding to the nearest tenth, if the digit in the hundredth place is 5 or greater, we would round up by increasing the digit in the tenth place by 1. However, if the digit in the hundredth place is less than 5, we leave the digit in the tenth place as it is.
In this case, since the digit in the hundredth place is 0, we simply keep the digit in the tenth place, which is 6. Therefore, rounding 3.60 to the nearest tenth results in 3.6.
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Round 452,906 to the nearest hundred thousand, ten thousand, thousand, hundred, ten
Rounding 452,906 to each place is
(a) to nearest hundred thousand is 500,000
(b) to nearest ten thousand is 450,000
(c)to nearest thousand is 453,000
(d) to nearest hundred is 452,900
(e) to nearest tens is 452,910
Given :
Round the number 452,906 to each place given below
(a) Round to nearest hundred thousand
In the given number , 4 is in hundred thousand's place
To round to nearest hundred thousand, we look at the number in ten thousands place that is 5. 5 is equal to 5. So we add 1 with the number in hundred thousand . write 0 in remaining places
452,906, Round to nearest hundred thousand is 500,000
(b) To round to nearest ten thousand, we look at the number in thousands place that is 2. 2 s less than 5. So we keep 5 in ten thousands place . write 0 in remaining places
452,906, Round to nearest ten thousand is 450,000
(c)To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2 and write 0 in remaining places
452,906, Round to nearest thousand is 453,000
(d) To round to nearest hundred, we have 0 in tens place that is less than 5. So write 9 as it is and 0 in remaining places
452,906, Round to nearest hundred is 452,900
(e) To round to nearest ten , we have 6 in one's place that is greater than 5.
So add 1 with 0 and write 0 in one's place
To round to nearest thousand, we have 9 in hundreds place that is greater than 5. So add 1 with 2 and write 0 in remaining places
452,906, Round to nearest tens is 452,910
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someone please help me with #63! WILL MARK BRAINLIEST
Answer:
cos60=b/h
1/2= b/3
b= 3/2=1.5
again
sin60=p/h
[tex]\sqrt3[/tex]/2= p/3
p =3[tex]\sqrt3[/tex]/2
Step-by-step explanation:
Answer:
1.5 in. and [tex]\frac{3\sqrt{3} }{2}[/tex]in.
Step-by-step explanation:
easier method:
angle opp. to 30 degrees is 1/2 of hypotonuse:
3/2=1.5 inches
angle opp. to 60 degrees is [tex]\sqrt{3}[/tex] of 30 degree angle:
3/2*[tex]\sqrt{3}[/tex]=3[tex]\sqrt{3}[/tex]/2
what are prime numbers?
Answer:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Answer:
Prime numbers are positive integers that have only 2 factors: Itself, and 1.
For example, 13 is a prime number because it has only 2 factors that are: 1 and 13.
1 is NOT a prime number as it only has 1 factor which is 1.
-5, -6, 0,6
Which pair of numbers has a sum of zero? (5 points)
-6,0
-5,6
6, -6
-5,0
Answer:
6,-6
Step-by-step explanation:
6+(-6)=6-6=0
The answer is 6,-6
Translate and solve: 94% of what number is 611?
Answer:
574.34
Step-by-step explanation:
MATH
Please heeeeeeeeeeeeeeelp
Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.
Answer:
First part 7 units left and 5 units up
The 2nd part is v ≥-7 and the third part is Y≥5
Step-by-step explanation:
Done it in Edge and got it right :)
The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.
What is function?"It defines the relation between input and output values.""In function, for each input there is exactly one output."What is transformation of function?"It is nothing but mean transforming the function from one form to another."
For given question,
We have been given a function [tex]y=\sqrt{x}[/tex]
We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]
We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.
So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.
We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.
So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.
Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.
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23,500 rounded to the nearest thousand?
Answer:
24,000
Step-by-step explanation:
is simple just 3500 is closer to 4000 than 3000
Answer:
24,000
Step-by-step explanation:
3. Jackie played the drums in the band. If he beat the drum at a rate of
110 beats per minute, how many beats would he play in 4 minutes
Answer:440 beats
Step-by-step explanation:
The minutes cancel when you multiply.
What is the value of the expression 2.58 x - 53?
Answer:
-136.74
Step-by-step explanation:
If the length of a box of Milk Duds box is tripled, how much longer will the box be?
Answer:
3x
Step-by-step explanation:
x = original length of the box.
~theLocoCoco
Please please help fast
Answer:
no I'm pretty sure. hope it helps
Answer: No
Step-by-step explanation:
First convert 10 feet to yards and also 20 inches to yards.
10 feet to yards is 3.3 and 20 inches to yards is 0.55
Now add them to see if they equal to 4 or greater than.
0.55 + 3.33= 3.88
3.88 is less than 4 so Anis will not be able to make a fence
Sabas dance class is 3 miles from her home