Answer:
c = 0
Step-by-step explanation:
A 3-variable linear system of equations is constructed after replacing known values for x and y:
[tex]16\cdot a - 4 \cdot b + c = 7[/tex]
[tex]9\cdot a + 3\cdot b + c = 0[/tex]
[tex]64\cdot a + 8\cdot b + c = 10[/tex]
After making algebraic manipulation, the following solution is found:
[tex]a = \frac{1}{4}[/tex] and [tex]b = -\frac{3}{4}[/tex] and [tex]c = 0[/tex]
The value of c is 0.
Find the surface are of the fish tank if the base is a regular octagon with side length 0.9 units and the height of the prism is 2 units
Answer:
19.11 square units
Step-by-step explanation:
The fish tank is composed by eight rectangles with base = 0.9 units and height = 2 units; and by a regular octagon at the bottom, which sides are 0.9 units long.
Area of each rectangle = 0.9*2 = 1.9 square units
Area of the regular octagon = 2*(1 + √2)*0.9² = 3.91 square units
Therefore:
Surface area of the fish tank = 8*1.9 + 3.91 = 19.11 square units
Use the distance formula and/or the Pythagorean Theorem to find the area of the triangle.
A) 8.4 square units
B) 20.5 square units
C) 41 square units
D) 60.5 square units
Answer:
B. 20.5 square unitsStep-by-step explanation:
Area of a triangle = 1/2 * Base * Height
For the given triangle, the value for the sides will be the distance between adjacent points on the triangle. Look at the attached file for the explanation of the diagram.
Using the formula for finding the distance between two points to get the base and the height of the triangle.
D = √(x2-x1)²+(y2-y1)²
For side AB where A = (-3, -4) and B(2, 0)
AB = √(2-(-3))²+(0-(-4))²
AB = √5²+4²
AB = √25+16
AB = √41
AB = Height
For side BC where B = (2, 0) and C = (6, -5)
√(x2-x1)²+(y2-y1)²
BC = √6-2)²+(-5-0)²
BC= √4²+(-5)²
BC = √16+25
BC= √41
BC = base of the triangle
Area of the triangle = 1/2 * √41 * √41
Area of the triangle = 1/2 * 41
Area of the triangle =20.5square units
Each side of the square below is 8 inches.
A triangle inside of a square. The top of the triangle divides a side of the square into 2 equal parts of 4 inches. The triangle is shaded and the area to the right of the triangle is shaded.
What is the probability that a point chosen at random in the square is in the blue region?
Answer:
16%
Step-by-step explanation:
Answer:
.75
Step-by-step explanation:
Select the 3 correct answers.
PLS ANSWER FAST GIVING BRAINLY TO CORRECT ONE
Answer:
a,c,f
Step-by-step explanation:
Answer:
A.
C.
F.
Hope this helped!
Fatima surveyed a random sample of 80 students in her school about their
favorite type of pet. Of the students surveyed, 20 chose cats as their favorite
type of pet. If there are 597 total students at the school, what would be a valid
estimate for the number of students whose favorite type of pet is a cat?
Answer: 149
Step-by-step explanation:
out of 80 students, 20 said that they prefers cats, then the relative frequency is:
p =20/80 = 0.25
then, out of the 597 students a estimate of:
N = 0.25*597 = 149.25 like cats
We should round it down so we have a whole number, then we have a estimate of 149 students.
Answer152
Step-by-step explanation:
if u divide the 2 u will get 157
2 tables. Table 1 is titled Population data with entries 2, 4, 8, 5, 1, 1, 10, 5, 4, 2, 3, 3. Table 2 is titled Sample data with entries 4, 1, 5, 3.
Compare the mean of the population with the mean of a sample.
The mean of the population is
.
The mean of the sample is
.
The difference between the mean of the sample and the mean of the population is
.
Answer:
4
3.25
.75
Step-by-step explanation:
I got it right on the test
Answer:
1. 4(c)
2. 3.25(A)
3. 0.75(c)
Step-by-step explanation:
your welcome
Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation less than to just clear the center-field fence.
Answer: According to me, it is :
A height of 2 feet above the ground and angle of elevation of 86 degrees.
Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:
180 - (90+86) = 4 degrees
The distance from the home plate to the centerfield is
2/sin 4 = x / sin 86
solve for x
x = 28.60 feet....
HOPE IT HELPS YOU
HAVE A GOOD DAY ☺️❤️
If you want give me brainliest..
The height of the center field fence require that a ball hit 2 ft is equal to 28.60 feets
The sine is the ratio between the opposite side and the hypotenuse of a right triangle, that is, it is a trigonometric ratio. It is worth remembering that ratio or trigonometric relation is the study of the angles of a right triangle.
How to calculate sine?It is the ratio of the opposite side to the hypotenuse, that is:
[tex]Sen \theta = opposite \ side/hypotenuse[/tex]
Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:
[tex]180 - (90+86) = 4 degrees\\2/sin (4) = x / sin (86)\\x = 28.60 feet[/tex]
See more about sine at brainly.com/question/3554369
What is the solution to 4x+6<_18
In how many ways can the first 4 guest arrive at a party if 15 guest have been invited
Answer:
The first 4 guests can arrive at party in 1365 ways if 15 guest have been invited
Step-by-step explanation:
Total number of guests invited = 15
We are supposed to find in how many ways can the first 4 guest arrive at a party if 15 guest have been invited
We will use combination
Formula :[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Substitute n = 15 and r = 4
So,Total no. of ways = [tex]\frac{15!}{4!(15-4)!}=1365[/tex]
Hence the first 4 guests can arrive at party in 1365 ways if 15 guest have been invited
Answer:
32,760Step-by-step explanation:
The first 4 guests can arrive in 32,760 ways.
wht is 555 times 0??
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanatio
Please answer CORRECTLY !!! Will mark brainliest !!!!!!
All I know is that A= 1/2 b. And B = 2a
So possibly the formula Is 1/2b = a
Please help
Find the Area of the composite figure
Answer:
Your answer is B.), 26 in.²
Step-by-step explanation:
So, what you do is you have to split it into two different shapes, find the areas of those, and then "put them back together" (add them together).
So, what I did is I made the whole top part one shape and then the bottom part. Here are the dimensions:
Top Part: 2 in. × 9 in.
Bottom Part: 4 in. × 2 in.
Now, you multiply and add them.
Top Part:
[tex]2*9=18[/tex]
Bottom Part:
[tex]4*2=8[/tex]
Add:
[tex]18+8=26in.^{2}[/tex]
Since it's a 2-dimensional figure, do not forget that when you label, you have to put a "2," as in "squared," like it's an exponent, but know that it is not an exponent. It's just so that people know, when looking at it, that it's the area of a 2-dimensional figure.
Which inequality is graphed below?
Y>_-1/2x+2
Y>-1/2x+2
Y<_-1/2x+2
Y<-1/2x+2
Answer:
I believe its the last option.
Step-by-step explanation:
Hope that helps
Can someone help me, can you give me the answer and explanation.
Answer:
B
Step-by-step explanation:
you add 3 plus 2 which gives you 5
then it said one red marble which is 2/5 then it said another one which is 1/4
2/5 times 1/4 equals 1/10
The manager of a take-out pizza store needs to hire pizza makers and cashiers for the evening shift. The total number of employees of both kinds can be at most 16 and the ratio of cashiers to pizza makers must be at least 3 to 5. Also, each pizza maker can answer 12 phone calls per hour and each cashier can answer 4 calls per hour while the pizza shop must be able to handle at least 72 calls during peak hours.
(a) Create and graph a system of linear inequalities to model this problem
(b) Identify the solution region
(c) If each pizza maker gets $10 per hour and each cashier gets $6 hour, how many
pizza makers and how many cashiers should the manager hire in order to minimize
her cost?
Answer:
a) x + y ≤ 16
y/x ≥ 3/5
12*x + 4*y ≥ 72
b) see picture attached
c) 5 pizza makers and 3 cashiers should be hired.
Step-by-step explanation:
a) Let's define:
x: amount of pizza maker
y: amount of cashier
From conditions in the question:
x + y ≤ 16
y/x ≥ 3/5
12*x + 4*y ≥ 72
b) In the picture attached, the feasible region (also called solution region) is shown.
c) We want to minimize:
10*x + 6*y
subject to the previous restrictions.
It is known that the optimum solution is on the vertex of the feasible region (it is a linear system). Evaluating cost function at each point, we get:
10*1 + 6*15 = 100
10*5 + 6*3 = 68
10*10 + 6*6 = 136
Then, 5 pizza makers and 3 cashiers should be hired.
Suppose you have a set of measurements. What additional information would you need to describe the accuracy of the measurements?
A. the precision of the measurements
B. a second set of identical measurements
C. the expected value for the measurements
D. a set of measurements made with a different instrument
Answer:
D
Step-by-step explanation:
Find the value of X for both
Answer:
1) 25
2) 20
Step-by-step explanation:
1)
Since these are vertical angles, they are congruent. Therefore, 3x=75, and x=25 degrees.
2)
Once again, these are vertical angles.
2+3x=62
3x=60
x=20 degrees
Hope this helps!
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Step-by-step explanation:
if I have given answer correct then please make me brain list answer
7 of 8
Here is a list of numbers:
3.8, 9.8, 10, 0.7, 0.3, 4.1,7.6,2.9,1.1,9.9
State the median.
Answer:
Your median is 4.1.
Step-by-step explanation:
What is the median
The median is a measure of central tendency. It represents the value for which 50% of observations a lower and 50% are higher. Put simply, it is the value at the center of the sorted observations.
Median formulas
This calculator uses two different formulas for calculating the median, depending on whether the number of observations is odd, or it is even when the number of observations is odd the formula.
Answer:
3.95
Step-by-step explanation:
Order the numbers from least to greatest:
0.3, 0.7, 1.1, 2.9, 3.8, 4.1, 7.6, 9.8, 9.9, 10
Find the numbers in the middle:
3.8, 4.1
Find the mean of these two numbers:
(3.8+4.1)/2
3.95
help plz help plz help plz help plz
Answer:
25. x = 17°
26. x = 50°
Step-by-step explanation:
25. There is a straight line which means :
108 +4x = 180
solving the obtained equation
108+4x = 180
4x = 180 - 108
4x = 72
x = 72/4
x = 17°
26. Again we can see that the angles in which 101 and x + 29 exists is a straight line . which means :
101 + x + 29 = 180
101 + 29 + x = 180
130 + x = 180
x = 180 - 130
x = 50°
So the answer of question no. 25 is 18 degree.
The answer of question no 26 is 50 degree.
Look at the attached picture
hope it will help you
good luck on your assignment
A tree was 9 feet tall. One year later, the tree was 16 feet tall. Write an equation and find how many feet f the tree grew
Answer:
9 + f = 16
Step-by-step explanation:
So just say 9 + f = 16 since the tree grew to 16, and the f is the amount.
Answer:
16-9=7
Step-by-step explanation:
the tree grew 7 ft
PLS HELPPP WILL AWARD BRAINLIEST!
Answer: Red is 0.18 And Blue is 0.68
Step-by-step explanation:
Look at sizes and comparisons between the sizes and all together should add to 1
Answer:
blue = 0.32
because:
0.5-0.18 = 0.32
red = 0.18
because :
0.5-0.20-0.12= 0.18
Can somebody answer this worksheet pls.
Answer:
what worksheet
Step-by-step explanation:
PLEASE ANSWER! SO DESPERATE
As you can see, the cube and the cylinder are the same height and width. But, if you use their 2d counterparts, a square and a circle, a circle always takes up 78.5% of the squares area. Knowing this, we can take this knowledge and see that the cube will have a greater volume.
Hope this helps :)
question 8, 10 and 11 pleaseeeeeeeeeeee
Answer:
8 c ,10 b ,11 d
Step-by-step explanation:
Mia has these number cards. She keeps the cards with numbers less than 85 and greater than 88. Circle the cards mia keeps.
84 86 87 89 90
Answer:
84, 89, and 90
Step-by-step explanation:
i have to find the slope
Answer:
m=-6
Step-by-step explanation:
slope formula:
m=(y2-y1)/(x2-x1)
m= (-16--10)/(2-1)
m=(-6)/(1)
m=-6
Which characteristics will prove that DEF is a right, isosceles triangle?
Answer:
the slopes of DE and EF are opposite reciprocals make the triangle Δ DEF a right triangle.
Step-by-step explanation:
The characteristics will prove that Δ DEF is a right isosceles triangle is the lengths of DE and EF are congruent, and their slopes are opposite reciprocals.
Now, the equal sides of DE = EF make the triangle Δ DEF an isosceles triangle and the slopes of two perpendicular lines are always the opposite reciprocals.
So the correct answer would be: The lengths of DE and EF are congruent, and their slopes are opposite reciprocals.
A right-angle triangle with two equal sides forming that right angle must be a right isosceles triangle.
What is a right isosceles triangle?
A triangle that has a right-angle and two equal sides is called a right-isosceles triangle.
Characteristics will prove that ΔDEF is a right isosceles triangle are as follows:
1. A right isosceles triangle must have a right angle.
2. Two sides of it must be equal. Obviously, the hypotenuse is the biggest side of the triangle. Apart from the hypotenuse, other two sides must be same. It will make their slope with the hypotenuse equal. Hence, the triangle will be also be isosceles.
Learn more about a right isosceles triangle here: https://brainly.com/question/21881466
#Tag #SPJ2
The base diameter and the height of a cone are both equal to
x units.
Which expression represents the volume of the cone, in
cubic units?
A)Pix^2
B)2pix^2
C)1/3pix^2
D)1/12pix^3
Answer:
i would say d goodluck <3
Step-by-step explanation:
The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the width if this triangle
Answer:
[tex](x-5),(2x+3)[/tex]
Step-by-step explanation:
Given: area of a rectangle is [tex]2x^2-7x-15[/tex]
To find: binomials that represent the length and the width of the rectangle
Solution:
A polynomial that consists of two terms is known as binomial.
[tex]2x^2-7x-15=2x^2-10x+3x-15\\=2x(x-5)+3(x-5)\\=(2x+3)(x-5)[/tex]
Also, area of rectangle is length × breadth
So, length × breadth = [tex](2x+3)(x-5)[/tex]
So, length = 2x+3, breadth = x-5 or length = x-5, breadth = 2x+3