The triangle above is changed so that the exterior angle shown measures 128 how does this affect angles b and c
Answer:
the sum of the measures of angle B and angle C will also be 128 degrees meaning that the sum will decrease by 24 degrees.
What are the solutions to the equation (2x-5)(3x-1)=0?
The answer is C. x = [tex]\frac{5}{2}[/tex] 0r x = [tex]\frac{1}{3}[/tex]
The value of 4 in 3,492 is how many times the value of 4 in 704?
Regroup hundreds as Tens:
8 hundreds 9 tens =
1. Solve -2n + 5 > 7.
2. Kia experimental probability of striking out at baseball is 13%. Out of 30 times at bat about how many times will she strike out?
write an integer for the situation below : 13 feet below the sea level
What is a proportion?
5 divided 1 squared plus 1
Answer: 6
Step-by-step explanation: Use a calculated bro
What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?
Tony is making small bags of bird sees from a larger bag that weighs 11.16 pounds. If he puts the same amount of seed in each of 6 bags, how much will each bag weigh?
A pyramid and prism have the same base area and height. The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid? The volume of the pyramid is __________ cubic units. Enter the number that correctly fills in the blank in the previous sentence.
The volume of the pyramid with a base area of 8 square units and a height of 16 units is 42.67 cubic units.
The volume of a pyramid is calculated as one-third of the base area times the height. The base area of the given pyramid is 8 square units and the height is 16 units. Using the formula for volume V = rac{1}{3}Ah, where A is the base area and h is the height, the volume of the pyramid can be found as follows:
V = rac{1}{3} imes 8 imes 16
V = rac{1}{3} imes 128
V = 42.67 cubic units (rounded to two decimal places).
Therefore, the volume of the pyramid is 42.67 cubic units.
One side of the triangle is 8 in, and the other two sides are equal to a positive whole number of inches. What is the smallest possible perimeter of the triangle?
F. 9 in
G. 10 in
H. 11 in
J. 15 in
K. 17 in
If the divisor is 40 what is the least three digit dividend that would give a reminder four
Consider the following pair of equations: −x − y = −5 y = x + 1 If the two equations are graphed, at what point do the lines representing the two equations intersect? (−2, 3) (3, −2) (2, 3) (3, 2)
HELPPP PLEASEEEEEE!?!?!
a straight line is 180 degrees so we can find C by subtracting 140 from 180
180-140 = 40 degrees
all 3 inside angles need to equal 180 so now we have
180 = 40 + (2x) + (x+2)
180 = 40 +3x +2
180=42+3x
138=3x
x= 138/3 = 46
check : 2x= 2*46 = 92
x+2 = 46+2 = 48
92 +48 +40 = 180
so x = 46 degrees
so angle B = 2x46 = 92 degrees
Josh and his friends bought vanilla wafers for $4 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $45 to buy a total of 27 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and vanilla wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Vanilla wafers cost $4 per packet
and chocolate wafers for $1 per packet
They spent a total of $45 .
This means that the equation that can be formed using this information is:
4x+y=45
and they buy a total of 27 packets of wafers.
i.e. the equation formed with the help of this information is:
x+y=27
PART A:
The system of equations that can be solved to find the number of packets of vanilla wafers and the number of packets of chocolate wafers that Josh and his friends bought at the carnival is:
4x+y=45-------------------(1)
and x+y=27----------------(2)
PART B:
We will use the method of substitution because with the help of this method we could easily substitute the value of one variable in terms of the other variable and obtain the answer.
Using equation (2) we have:
y=27-x-------------------(3)
On putting this value of y in equation (1) we have:
4x+27-x=45
i.e.
4x-x+27=45
i.e.
3x+27=45
i.e.
3x=45-27
i.e.
3x=18
i.e.
x=6
and on putting the value of x in equation (3) we have:
y=27-6
i.e. y=21
Hence, number of vanilla wafers purchased = 6
and number of chocolates wafers purchased = 21
Which class has 32% girls?
DOES ANYONE KNOW THE ANSWER???
99PTS (08.06)The data set shows the number of cars parked in the restaurant parking lot during the lunch hour each day for two weeks: 8 7 14 10 13 27 11 10 14 7 12 9 14 9 Which of the following statements is true based on the data set?
{ y=x^2-2x-6
y=4x+10
PLEASE HELP!
The graph below shows the height an elevator travels, y, in x seconds:
A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 125 in increments of 25 for each grid line. A line is shown connecting points on ordered pair 1, 25 and 2, 50 and 3, 75 and 4, 100. The title of the graph is Rate of Ascent.
What is the rate of change for the relationship represented in the graph?
50
25
fraction 1 over 25
fraction 1 over 50
The graph is not given , but with the help of information provided by you in the question:
X : 0 1 2 3 4 5 →→ Time in Seconds
Y : 0 25 50 75 100 125 →→Height of Elevator Above Ground in feet
Rate of change can be found by using two point slope form of line.
The slope of line joining two points [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex] is given by = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Taking two points (1,25) and (2,50) and finding the slope of line, that is Rate of change:
Rate of change = [tex]\frac{50-25}{2-1}=25[/tex]
Option (B) 25 is correct answer.
Paul has grades of 63 and 81 on his first two tests. What must he score on his third test in order to have an average of at least 70
Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements? 0 1 2 infinitely many
Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.
By calculation, the length of the 3rd side is calculated using cosine law:
c^2 = a^2 + b^2 – 2abcosθ
c^2 = 10^2 + 8^2 – 2(10)(8)cos40
c = 6.44 cm
ANSWER:
1 triangle
Write y less than 21
Answer:
21-y
Step-by-step explanation:
In mathematics the signs used for more than is + and for less than is -.
The question is asking us to write y less than 21 in mathematical statement form.
y less than 21 means 21-y,
Hence the mathematical statement for y less than 21 is 21-y.
Ali needs 4/10 yard of red ribbon and 5/10 yard of blue ribbon to make a tail for her kite. how much ribbon does Ali need in all?
0, 7, 26, 63, _ , 215.
What is the missing number in the given sequence?
What is the pattern?
Simplify open parentheses x to the 5 eighths power close parentheses to the 2 thirds power.
Answer:
[tex]x^{\frac{5}{12}}[/tex]
Step-by-step explanation:
[tex](x^{\frac{5}{8}})^{\frac{2}{3}}[/tex]
To simplify it we multiply the exponents inside with exponent outside
[tex](a^m)^n = a^{mn}[/tex]
[tex]\frac{5}{8} *\frac{2}{3}[/tex]
Cancel out 8 and 2
[tex]\frac{5}{4} *\frac{1}{3}[/tex]
[tex]\frac{5}{12}[/tex]
tex](x^{\frac{5}{8}})^{\frac{2}{3}}=\frac{5}{12}[/tex]
Bernard counted 8 posts along the side of the road. If the posts were 20meters apart how far is the first post from the last
An empty rectangular tank, 40 cm long and 25 cm wide, contains 2 metal cubes of edge 10 cm. the tank is being filled with water flowing from a tap at a rate of 10 liters per minute. If it takes 3 minutes to fill up the tank, find the height of the tank.
The height of the tank is 0.5 cm.
Explanation:To find the height of the tank, we can use the formula:
Volume of water = base area × height
The base area of the tank can be found by multiplying the length and width: 40 cm × 25 cm = 1000 cm².
The volume of water flowing from the tap is given as 10 liters per minute, which is equivalent to 10000 cm³ per minute or 166.667 cm³ per second. Since it takes 3 minutes to fill up the tank, the total volume of water will be 3 minutes × 166.667 cm³ per second = 500 cm³.
Now, we can plug these values into the formula to find the height:
500 cm³ = 1000 cm² × height
Dividing both sides by 1000 cm² gives:
height = 0.5 cm
Therefore, the height of the tank is 0.5 cm.
The diagonal of a square unit is x units. What is the Area of the square in terms of x
The area of a square with a diagonal x is (1/2)x² unit²
SquareA square is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. All the sides of a square have the same length and each angle measure 90 degrees.
let l represent the length of the side of the square and x be the length of the diagonal. Using Pythagoras theorem:
l² + l² = x²x² = 2l²l = x√(1/2)Area of square = l * l = x√(1/2) * x√(1/2) = x² * 1/2 = (1/2)x² unit²
The area of a square with a diagonal x is (1/2)x² unit²
Find out more on square at: https://brainly.com/question/8429946