Answer:
4.104
Step-by-step explanation:
Volume of any prism = Area of cross section x height.
so, volume = 0.6 x 1.9 x 3.6 = 4.104
What is the solution to the linear system y=-5x-21 and y=7x+15
Answer:
(-3,-6)
Step-by-step explanation:
Compair, then solve for x=-3
then solve you should get y=-6
Answer:
(-3, -6).
Step-by-step explanation:
Since both expressions in x are equal to y:
-5x - 21 = 7x + 15
-12x = 36
x = -3.
Plug x = -3 into the first equation:
y = -5*-3 -21
= 15 - 21
y = -6.
y =
The proof that TriangleMNG ≅ TriangleKJG is shown.
Given: AngleN and AngleJ are right angles; NG ≅ JG
Prove: TriangleMNG ≅ TriangleKJG
What is the missing reason in the proof?
a) the reflexive property
b) ASA
c) AAS
d) the third angle theorem
Answer:
b) ASA
Step-by-step explanation:
If you were to look at both triangles the marked angles are rothe other same for the side and also the angle of G which connects both triangles together.
The missing reason in the question is option B which is ASA that is ANGLE SIDE ANGLE.
What are congruent triangles?Triangles are congruent when they have three corresponding sides and exactly the corresponding three angles are equal to other.
What are similar triangles?If two triangles can be superimposed on each other then it is said to be similar triangles.
How to check similarity between triangles?Two triangles are said to be similar if two angle and a side, one angle and two sides are equal to other.
If we look at the figure we found that both triangles the marked angles are same for the side and also the angle of G which connects both triangles together.
Hence the correct option for the problem is ASA (Angle Side Angle)
Learn more about congruent triangles at https://brainly.com/question/2938476
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On a shelf there are 6 novels, 8 poetry books, and 4 mystery books. What is the probability that person A chooses a novel,then a mystery and walks away, then person B picks a mystery and a poetry book?
Answer:
2/255
Step-by-step explanation:
In total, there are 18 books on the shelf.
The probability that person A will pick a novel is 6/18 = 1/3
There are now 5 novels and 17 total books on the shelf
The probability that person A then picks a mystery is 4/17.
There are now 3 mysteries and 16 total books on the shelf.
The probability that person B then picks a mystery is 3/16.
There are now 2 mysteries and 15 total books on the shelf.
The probability that person B then picks a poetry book is 8/15.
The probability that all these events occur back to back is the product of their individual probabilities. Therefore, the probability is:
1/3 * 4/17 * 3/16 * 8/15 = 2/255
Help me ASAP
Estimate the measure of ∠DBC.
Answer:
135°
Step-by-step explanation:
Considering it's estimation, there isn't too much of an explanation, but here you go anyways.
A straight angle is equal to 180°. DBE is a straight angle.
DBC and CBE added together appear to be 180° (supplementary).
We are trying to find DBC. An obtuse angle has to be over 90°, which in this case DBC clearly is over 90°. From that you can conclude it isn't any of the first 3, so it's D. 135°
hope this helps and give brainliest if I am epic blah blah blah ;)
Hhh I’m very bad at math
Answer:
See below;
Step-by-step explanation:
21 . Consider an exponential function;
[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]
Solution; Provided Directly Above
someone pls help me with this :nth term of 3 4.5 6 7.5 I need the answer asap
Answer:
9.5
Step-by-step explanation:
the numbers go up by 1.5
so, 7.5 + 1.5 = 9
A grocer wants to mix two kinds of candy. One kind sells for $1.80 per pound, and the other sells for $3.00 per pound. He wants to mix a total of 15 pounds and sell it for $1.95 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Answer: 13.12 pounds of the candy that sells for $1.80 per pound 1.88 pounds of the candy that sells for $3 per pound should be in the mixture.
Step-by-step explanation:
Let x represent the number of pounds of the candy that sells for $1.80 per pound that should be in the mixture.
Let y represent the number of pounds of the candy that sells for $3.00 per pound that should be in the mixture.
The total pounds of both candies in the mixture is 15. It means that
x + y = 15
Since he wants to sell the mixture for $1.95 per pound, the cost of the mixture per pound would be 1.95(x + y)
The equation would be
1.8x + 3y = 1.95(x + y)- - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
1.8(15 - y) + 3y = 1.95(15 - y + y)
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 + 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
x = 15 - y = 15 - 1.88
x = 15 - 1.88 = 13.12
Answer:
the grocer should mix approximately 13.12 pounds of 1st candy.
the grocer should mix approximately 1.88 pounds of 2nd candy.
Step-by-step explanation:
From the given information.
let x represent the pounds of the first candy and y represent the pound of the second candy
We are being told that the grocer wants to sell a total of 15 pounds,
so;
[tex]x+y = 15 \\ \\x= 15-y[/tex] ----- (1)
also; we are being informed that one kind sells for $1.80 per pound, and the other sells for $3.00 per pound. and he wants to mix a total of 15 pounds and sell it for $1.95 per pound.
So;
[tex]1.80 x + 3y = 15(1.95)[/tex]
[tex]1.80x + 3y = 29.25[/tex] ------(2)
Replacing equation (1) into 2 ; we have :
1.8(15 - y) + 3y = 29.25
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 - 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
Therefore, the grocer should mix approximately 1.88 pounds of 2nd candy.
Replacing the value of y into equation (1)
x = 15 - y
x= 15 - 1.88
x = 13.12
Therefore, the grocer should mix approximately 13.12 pounds of 1st candy.
12. Which of the following numbers is
contained in the solution set of the
inequality 1-5x + 35| > 20?
A
-1
B
3
С
9
D
10
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Evaluate the trigonometric expression. Round your answer to four decimal places.
10 tan 20º =
a0
Answer:
3.6397
Step-by-step explanation:
10 tan (20°) = 3.6397
A number cube labeled 1 through 6 is rolled. Find the probability that the cube lands on a number less than 5
Answer:
2/3
Step-by-step explanation:
The number cube has 6 faces labelled 1 - 6.
There are 4 numbers less than 5 (1, 2, 3, 4).
Therefore, the probability that the cube lands on a number less than 5 is:
4/6 = 2/3
Stephen and Bridget are marking exam papers. Each set takes Stephen 71 minutes and Bridget 2 hours. Express the times Stephen and Bridget take as a ratio in its simplest form.
Answer: 1:1.69014084507
Step-by-step explanation:
A cylindrical container of five rubber balls has a height of 30 centimeters and a diameter of 6 centimeters. Each ball in the container has a radius of 3 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
Answer:
There is 170 cm³ free space in the container.
Step-by-step explanation:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³ * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
1) 2x – y = 1
2x +2y = 10
2) 5x – y =15
x + y = -3
please do both of these with explanation!!
Answer:
1) (2, 3)
2) (2, -5).
Step-by-step explanation:
2x – y = 1
2x +2y = 10 Subtract to eliminate the 2x:
2x - 2x - y - 2y = 1 - 10
-3y = -9
y = 3.
Plug this into the first equation:
2x - 3 = 1
2x = 4
x = 2.
2)
5x – y =15
x + y = -3 Adding to eliminate y:
5x + x - y + y = 15 + -3
6x = 12
x = 2
Plug this into the first equation:
5(2) - y = 15
-y = 15 - 10 = 5
y = -5.
Which of the following is a representation of a function?
A.8x^2+4x
B. 4x+3=y^2
C. 3y= 5x^2+y
D. x = y2
Answer:
A
Step-by-step explanation:
Evaluate [(40 + 5) − 3^2] ÷ 9 ⋅ 2. (1 point)
Answer:
[(40 + 5) − 32] ÷ 9 ⋅ 2
[(45) − 32] ÷ 9 ⋅ 2
[(13)] ÷ 9 ⋅ 2
[(13)] ÷ 9 ⋅ 2
_
1.4... ⋅ 2
_
2.8... ←Answer
Step-by-step explanation:
a woman buys a pair of shoes at a sale.she pays $60,saving $15 on the regular price.The percentage discount on the shoe is
If cot x=v3, calculate (sin x)(cos x)-cos²x
Answer:
[tex]sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}[/tex]
Step-by-step explanation:
Recall the Pythagorean identity for cotangent:
[tex]1+cot^2(x)=csc^2(x)[/tex]
where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:
[tex]1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}[/tex]
We can also use the Pythagorean identity for sin and cos, to find the value of [tex]cos^2(x)[/tex] and of cos(x):
[tex]cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}[/tex]
We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.
Then the requested quantity can be written as:
[tex]sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}[/tex]
Tanya has ten bills in her wallet. If she has one more $5 bill than $10 bills, and two more $1 bills than $5 bills, how many of each does she have?
Please tell me the steps will choose brainliest
Answer:
5 Ones dollar bills
3 five dollar bills
2 ten dollar bills
Step-by-step explanation:
Factor the polynomial: x(6x - 1) – 3(6x - 1)
O A. -3x(6x - 1)
O B. 3x(6x - 1)
O C. (6x - 1)(x - 3)
O D. (6x - 1)(x + 3)
Answer:
C.
Step-by-step explanation:
x(6x - 1) – 3(6x - 1) = (6x - 1)(x - 3)
The factor of the polynomial x(6x - 1) – 3(6x - 1) is (6x -1) (x - 3).
The correct option is C.
To factor the polynomial x(6x - 1) - 3(6x - 1), we can observe that both terms have a common factor of (6x - 1). We can factor out this common factor using the distributive property.
The given expression can be rewritten as:
x(6x - 1) - 3(6x - 1)
Now, we can factor out the common factor (6x - 1):
(6x - 1)(x) - (6x - 1)(3)
Notice that we have (6x - 1) as a common factor in both terms. We can combine the two terms using this common factor:
(6x - 1)(x - 3)
Therefore, the factored form of the polynomial x(6x - 1) - 3(6x - 1) is (6x - 1)(x - 3).
Option C: (6x - 1)(x - 3) is the correct answer.
To learn more about Polynomials;
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8 divided by 4106 long division
Answer:
513.25 or 0.001
How i got the answer:
As we that 06 + 4 = 10. 10 is not divisible by 8. It means that 4106 is also not divisible by 8. The correct answer will be 4106 divided by 8 is 513.25.
If you asking only 8 divided by 4106 the answer is 0.00194836824. In short form it is 0.001.
If you asking if 8 is divisible by 4106 the answer is 513.25. Steps are added above.
Answer: 513.25 or 0.001
Please mark me brainliest
Hope this helps.
answer is 8/4106 or 0.002
Just follow the rules for multiplication and keep going till the end
I need A and B. Thanks
Answer:
A: its 13 cm
B:15cm
Step-by-step explanation:
A: its because its on a slight incline
B:again its on a big incline
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
THANKS FOR GIVING BRAINLIEST.
So we need to first find out f(7)
That would be if you look at the line its -1 on the y.
g(-1) on the line is 1 on x
10*-1+9*1
= -10+9
answer is -1
Answer:
10* f(7) +9* g(-1) = -1
Step-by-step explanation:
f(7) = -1, g(-1) = 1
10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1
Help me ASAP please.
If two lines intersect and one angle measures 25°, what are the measures of the other angles?
25
75
155
125
Answer:
Two Lines that intersect from TWO angles. The sum of the Two Angles is always 180 degrees.
180 Minus 25 = 155.
Step-by-step explanation:
josue earned $56.25 fixing a coding issue with a popular website.it took him a total of 4.5 hours to fix the issue.The equation 4.5x=56.25 can be used to find Josue hourly rate.What is Josue hourly rate?
Try to form a triangle by dragging points a and d, is it possible to form a triangle with side lengths 1, 5, and 3 units
Answer:
It is not possible.
Step-by-step explanation:
The triangle inequality theorem states that any 2 sides of a triangle must be greater than or equal to the other side. If you add 3 and 1, you get 4, and that is less than 5, so the triangle cannot exist.
Answer:
1. No
2. Yes
3. No
4. Yes
5. Yes
Step-by-step explanation:
These are the answers for edge 2021
What is a reasonable product of 3 9/10× 4 1/5?
Answer: 16.38
Step-by-step explanation: I had this same math problem a while ago and got it right.
Answer:
hello 55
Step-by-step explanation:
Select the correct answer.
What is the simplest form of the ratio 11 : 16?
A.
1:6
B
5:8
c.
11.16
D.
22:32
Answer:
C
Step-by-step explanation:
The ratio 11:16 cannot be simplified
Answer:
Its already in simplest form
Step-by-step explanation:
You can think of it as a fraction. you cant divide 11 by anything besides 1 and itself. 11 doesnt go into 16 at all, completely. So the ratio cant be simplified
What is 1c, (look at photo) I will make you brainliest!!!!
Answer:
p=4 and q could be any real number (except 1 because then CD would not be a line since the points would lie on top of each other).
Step-by-step explanation:
For CD to be horizontal, both of the y coordinates for CD need to be equal. Since we are already given one of the y coordinates (the y coordinate for D is 4), then we know that the y coordinate for C (p) is 4 as well). Since it doesn't really matter what q is (any value of q except 1 would create a horizontal line with point C as long as p=4), it is any real number except 1.
A sauce recipe calls for 3/4 cup of chicken broth. To make enough sauce for a party, Marcy needs to triple the recipe.
2 (3) = (*) (6)
cups of chicken broth,
She estimates that the tripled recipe will need
The exact amount of chicken broth needed is
cups.
Answer:
less than 3
9/4
Step-by-step explanation:
Answer:
less than 3
9/4
Step-by-step explanation:
boom!!!
Is a percent a ratio?
Describe using 1 complete sentence.
Answer:
Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100. In a box of eight donuts two have pink sprinkles. ... Fractions, percent and decimals can all represent the same number, but they are expressed differently.
Step-by-step explanation:
i hope this is what u are looking for