Answer:
125.141
Step-by-step explanation:
Assuming that this is an equilateral triangle, I am going to divide this triangle in half to get a right triangle.
17 is our hypotenuse
17/2 = 8.5, this is one of our legs
The other leg is our height, which we will find.
We use Pythagoras Theorem to find the height/leg: [tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]17^{2} -8.5^{2} = 216.75[/tex]
[tex]\sqrt{216.75}[/tex] = 14.72243186
Now, we use another formula to find the area of the triangle: [tex]\frac{Base*Height}{2}[/tex]
14.72243186 × 17 = 250.2813416
250.2813416 ÷ 2 = 125.1406708
Please answer ASAP! Can someone help? 25 points! Please show your work!
A diameter of a circle has endpoints P(-10, -2) and Q(4, 6).
a. Find the center of the circle.
b. Find the radius. If your answer is not an integer, express it in radical form.
c. Write an equation for the circle
Sara creates a box plot using 23, 26, 44, 19, 31, 39, and 43 as the data. Which of the following box plots shows the data accurately?
The box plots show the data accurately is the 3rd box (the one with a median line equal 31).
How to find the median data?Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong a same number of observations.
To identify the correct box plot it is enough to calculate the median value from the given set of data.
When we arranged the data set of all the numbers, we can easily spot which one is in the middle (median):
19, 23, 26, 31, 39, 43, 44
Here we can see that 31 is the median.
Learn more about median;
https://brainly.com/question/17060266
#SPJ2
What is the prime factorization for 160 using exponents?
Answer:
[tex]2^5*5[/tex]
Step-by-step explanation:
Step 1: Prime Factorization
[tex]160[/tex] → [tex]2 * 2 * 2 * 2 * 2 * 5[/tex]
[tex]2 * 2 * 2 * 2 * 2 * 5[/tex] → [tex]2^5*5[/tex]
Answer: [tex]2^5*5[/tex]
If A represents the number of pencils in a pack, which expression represents 6 packs of pencils?
A +6
A-6
Ax6
A6
Answer:
Ax6
Step-by-step explanation:
For example, If you had 2 pencils in a pack and there were 6 packs of pencils. You would do 6 times 2 to find out how many pencils you have in total. In other words, you do A times 6.
Malachi bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. A sales tax of 3% is applied to the discounted total. What was the sale price with tax of Malachi’s fishing rod to the nearest cent? *
Answer:
110.30
Step-by-step explanation:
125.99-(125.99X0.15)= 107.09
107.09+(107.09X0.03)= 110.30
Which of the following are possible equations of a parabola that has no real solutions and opens downward?
y > = -(x + 4)^2- 2
y > = -(x + 4)^2 + 2
y > = -x^2 - 2
y > = (x - 4)^2 + 2
y > = -(x - 4)^2- 2
Answer:
[tex]y = - {(x - 4)}^{2} - 2[/tex]
[tex]y = - {(x + 4)}^{2} - 2[/tex]
[tex]y = - {x}^{2} - 2[/tex]
Step-by-step explanation:
A vertex form equation of a parabola is of the form
[tex]y = a(x - h)^{2} + k[/tex]
with vertex at (h,k).
If a parabola opens downwards, then a<0.
If the vertex of such parabola is below the x-axis, then it has no real solution, because it will not intersect the x-axis.
[tex]y = - {(x + 4)}^{2} - 2[/tex]
has vertex at (-4,-2), which is below x-axis.
[tex]y = - {(x - 4)}^{2} + 2[/tex]
has vertex at (-4,2)--->above x-axis
[tex]y = - {(x - 4)}^{2} - 2[/tex]
vertex at (4,-2) ---> below x-axis
[tex]y = - {x }^{2} - 2[/tex]
(0,-2)----> below x-axis
how many thirds are in 4/5? complete an area model and give the quotient.
In the image shown, line n is a transversal cutting parallel lines l and m.
∠1 = x + 40
∠5 = 2x + 10
What is the measure of ∠5?
A) 65°
B) 67°
C) 70°
D) 72°
Answer:
it is 70 on usatestprep.
Step-by-step explanation:
x + 40 = 2x + 10
x = 30
So, ∠5 = 2x + 10 = 2(30) + 10 = 70
Answer:
The answer is C.) 70
Step-by-step explanation:
Corresponding angles are congruent. So, set the angles equal to each other and solve for x.
x + 40 = 2x + 10
x = 30
So, ∠5 = 2x + 10 = 2(30) + 10 = 70°
Jamal ran 6 miles in 30 minutes which expression shows how to correctly determine his speed in miles per minute
Answer:
d= r/t
Step-by-step explanation:
i dont know if this is what youre looking for because i cant see the expression options but maybe it would be 6=r/30
write down the expression for the nth term of the following sequence 7,16,25,34,43 the following patterns are made using small squares write down an expression forthe number of small squares in pattern n
Final answer:
The nth term of the sequence 7, 16, 25, 34, 43 is found using the arithmetic sequence formula and is 9n - 2. The number of small squares in pattern n is expressed as n².
Explanation:
The given sequence 7, 16, 25, 34, 43 is an arithmetic sequence, where each term increases by 9. To find the expression for the nth term, we use the formula for the nth term of an arithmetic sequence, which is an = a₁ + (n-1)d, where a1 is the first term and d is the common difference. In this case, a1 = 7 and d = 9, so the nth term expression would be an = 7 + (n-1)9 = 9n - 2.
For the number of small squares in pattern n, if the expression given is n², it suggests the number of squares grows quadratically with the pattern number. Therefore, the expression for the number of small squares in the nth pattern would be n².
what whole number does x represent
4. Which two numbers have an absolute value of 2.67?
Answer:
2.67 & -2.67 both have an absolute value of 2.67
Step-by-step explanation:
The absolute value is the distance between a number and zero. the distance between 2.67 and zero is 2.67, and the distance between -2.67 and zero is also 2.67.
Which of the following equations could be the result of using the comparison method to solve the system shown? x - 4y - 1 = 0 x + 5y - 4 = 0
4y + 1 = 4 - 5y
-4y + 1 = 4 - 5y
4y + 1 = 5y - 4
Answer:
Option A.
Step-by-step explanation:
The given system of equations is
[tex]x-4y-1=0[/tex]
[tex]x+5y-4=0[/tex]
The given equations can be rewritten as
[tex]x=4y+1[/tex]
[tex]x=4-5y[/tex]
Using comparison method, compare the values of x.
[tex]4y+1=4-5y[/tex]
Therefore, the correct option is A.
Answer:
number 1:
4y +1 = 4 - 5y
Jackie created a diagonal cross section cut on a sphere. What plane figure did she discover after making the cut?
If you cut a sphere diagonally or along any of its diameters, you will always get a circle as the plane figure because all diameters of a sphere are of equal length.
Explanation:In the field of mathematics, specifically in solid geometry, if Jackie created a diagonal cross section cut on a sphere, the plane figure that she would have discovered is a circle.
The concept behind this is that a sphere is a perfectly symmetrical three-dimensional figure. When we make a cross sectional cut along any diameter of the sphere (which is what Jackie did by making a diagonal cross section), we will always reveal a circular plane figure irrespective of the direction of this cut because all diameters of a sphere are of equal length, thus ensuring the cut is always a circle.
Learn more about Cross-Section of a Sphere here:https://brainly.com/question/32837733
#SPJ11
A diagonal cross-section cut on a sphere will reveal a circle.
When Jackie made a diagonal cross-section cut on a sphere, she discovered a circle. Regardless of the angle or position of the cut, the intersection of a plane and a sphere always results in a circular shape. This fundamental geometric property arises from the symmetrical nature of spheres, where every cross-section manifests as a circle.
Thus, Jackie's diagonal cut revealed a circular plane figure, showcasing the inherent relationship between spheres and circles in geometry.
When determining which x-values would make an expression undefined, you do not need to include the factors you canceled out.
True or false?
I think it’s false, but I’m not confident in my answer
Answer:
This is truly false.
When determining which x-values would make an expression undefined, you do need to include the factors you canceled out.
Step-by-step explanation:
When working with functions, it is said to be undefined when the value of the function doesn't take on a value, and this occurs when the denominator is equal to 0.
Take for example
(x-2)/(x-2)
This simple function can be simplifted further by cancelling out the factors to get 1, but that doesn't change the fact that, at x=1, this function becomes undefined.
Because, the values of x can vary and can take on values that can make the denominator to be 0, factors that are cancelled need to be included in checking for where a function is undefined.
Hope this Helps!!!!
6 x to the 3 fourths power in radical form? (1 point) Question 3 options: 1) cubed root of 6 x to the fourth power 2) fourth root of 6 x cubed 3) 6 cubed root of x to the fourth power 4) 6 fourth root of x cubed
Answer:4) 6 fourth root of x cubed
Step-by-step explanation:
3.9054 to 2 significant figure
Answer:
3.9
Step-by-step explanation:
Te game started at 7:50pm. It ended at
10:04pm. How long was the game?
Answer:
134 minutes or 2 hours and 14 minutes
Step-by-step explanation:
Answer:
2 hours and 14 minutes
Step-by-step explanation:
A college has a student to teacher ratio of 30 to 2. If there are 186 teachers at the college, how many students attend the college?
Answer:
2790 college students
Step-by-step explanation:
30 to 2
15 to 1
186 times 15
equals 2790 students
THIS IS DUE TODAY PLEASE HELP ME OUT!!!!!
Answer:
B
Step-by-step explanation:
It is linear because x+15 is how the number increases. It does not tremendously add up.
Explain when the median of a data set is a better
measure of center than the mean.
Answer:
The median of a data set is better when you have a term or terms that are not close to the other terms
Step-by-step explanation:
For example:
Say you have the data set
1, 15, 17, 18, 22, 84
The median of these terms would be 17.5
(it is the exact center of the data group)
17 + 18 = 35
35/2 = 17.5
The mean of these terms would be 26.17
(this number is not close to the center because the numbers 1 and 84
are not close enough to the other terms)
1 + 15 + 17 + 18 + 22 + 84 = 157
157/6 = 26.17
Answer:
Sample Response: When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.
What did you include in your response? Check all that apply.
The dot plot or histogram will be skewed.
The mean is pulled up or down toward the tail.
The mean is affected more than the median.
what is the constant term in the expression 24xy -5yz + 82z - 62
[tex]\text{The constant term is the term that doesn't have a variable in it}\\\\\text{As you can see in the expression 24xy -5yz + 82z - 62, the only term}\\\text{that doesn't have a variable is -62}\\\\\text{This means that -62 would be your constant term}\\\\\boxed{\text{Constant term: -62}}[/tex]
If the sales tax is 7% on all purchases, how much must you set aside for sales tax on $300? Show your work.
Answer:
$321
Step-by-step explanation:
Because if you use a calculator u put in 300 + 7% you get 321
Answer: $8.04
Step-by-step explanation: First you add on 7% to all of the amounts, then you get the new answer and subtract it by the old answer, finally you add up the subtracted amounts together. (Sorry if its wrong it tried my best)
Gertrude makes a one time deposit of $1200 into an account that pays 7% annual interest compounded continuously. Assuming Gertrude makes no additional deposits or withdraws. how much money would be in the account after 3 years? Round to the nearest penny.
Answer:$14701
Step-by-step explanation:
1) at the end of the first year the account will be 1*(12 000)+0,07*(12 000)=1,07*12 000,
2) at the end of the second year 1*(1.07*12 000) + 0.07*(1.07*12 000) = 1.1449*12 000,
3) at the end of the third year 1*(1,1449*12 000) + 0.07*(1,1449*12 000) = 1.225*12 000 = 14,700.516 = 14701
Answer: $14701
Adele's grandmother is 56 years older than she is. Let a represent Adele's age . Write an expression for Adele's grandmother's age.
A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m.
With each swing, she travels along an arc that is half as long as the arc of the previous swing.
Which expression gives the total length the monkey swings in her first n swings?
24 divided by .5 or 1/2 (probably .5 tho)
Answer: 24 times 1-.5 divided by .5
Step-by-step explanation:
effrey typed 110 words in 2 2/3 minutes. At this rate, how many words can he type in 4 1/4 minutes?
First, you find the rate at which Jeffery types.
110 divides by 2.75. This makes 40.
Then to find the amount of words he types in 4.25 minutes,
40 x 4.25. This makes 170.
So Jeffery can type 170 words in 4 1/4 minutes.
Click to let others know, how helpful is it
Won has a container with the shape below.
A rectangular prism with length of 18 centimeters, width of 10 centimeters, and height of 12 centimeters. A rectangular pyramid has a base of 18 centimeters by 10 centimeters and height of 10 centimeters.
Which statements are true about the container? Select three options.
The shape can be broken into a rectangular prism and a triangular prism.
The shape can be broken into a rectangular prism and a rectangular pyramid.
The formula for the volume of this figure is V = B h + one-third B h.
The volume of the container is 2,760 centimeters cubed.
The volume of the container is 3,060 centimeters cubed.
Answer:
B. The shape can be broken into a rectangular prism and a rectangular pyramid.
C. The formula for the volume of this figure is V = B h + one-third B h.
D. The volume of the container is 2,760 centimeters cubed.
Step-by-step explanation:
I did the edge test.
Answer:
B, C, ,D
DID HE ES
Step-by-step explanation:
Suppose that a Navy submarine is submerged 500 feet below sea level.
Answer:
B) A and D
Step-by-step explanation:
Below sea level already implies negative.
And on a number line, it should be -500
Which scatterplot would have a trend line with a negative slope
Answer: B
Step-by-step explanation:
Answer: B
What is an example of a negative slope?
For example, as more people quit smoking (x), fewer people develop lung cancer (y). The graph for this relationship has a negative slope. If the gradient is negative, then the gradient and the gradient must be opposite, one must be positive and the other must be negative.
In other words, you go up and down or left and right. The positive area of a function is the interval at which the function is on the x-axis. Where the y value is positive (not zero). The negative area of a function is the interval at which the function is below the x-axis.
Learn more about negative slope here: https://brainly.com/question/3537825
#SPJ2