Given:
The two shapes P and Q on a coordinate plan.
To find:
(a) The area of shape P.
(b) Mathematical name of quadrilateral Q.
Solution:
(a)
From the given figure, it is clear that shape P is a triangle.
Area of a triangle is
[tex]A=\dfrac{1}{2}\times Base\times Height[/tex]
Area of triangle P whose base is 4 and height is 6, is
[tex]A=\dfrac{1}{2}\times 4\times 6[/tex]
[tex]A=\dfrac{24}{2}[/tex]
[tex]A=12[/tex]
So, the area of shape P is 12 sq. units.
(b)
In quadrilateral Q, two pairs of congruent sides are adjacent to each other.
So, Q is a kite.
Therefore, the mathematical name of quadrilateral Q is kite.
Answer:
Step-by-step explanation:
Given:
The two shapes P and Q on a coordinate plan.
To find:
(a) The area of shape P.
(b) Mathematical name of quadrilateral Q.
Solution:
(a)
From the given figure, it is clear that shape P is a triangle.
Area of a triangle is
Area of triangle P whose base is 4 and height is 6, is
So, the area of shape P is 12 sq. units.
(b)
In quadrilateral Q, two pairs of congruent sides are adjacent to each other.
So, Q is a kite.
Therefore, the mathematical name of quadrilateral Q is kite.
Part 3: Decide whether each set of lengths are sides of a right triangle, answer YES or NO. Show work
to support your answer. MGSE8.6.6 (8 points each)
8.) 5cm 12cm, 14cm
7.)
9m 4m 5m
Answer: 7) No 8) No
Step-by-step explanation:
According to the Pythagoras theorem of the right triangle,
Square of largest side = Sum of square of other two sides.
8) Given sides: 5cm, 12cm, 14cm
Here, Largest sides = 14 cm
[tex]5^2+12^2=25+144=169\neq14^2 \ \ \ [14^2=196][/tex]
These sides do not represent a right triangle.
7) Given sides: 9m, 4m, 5m
Largest side = 9 m
[tex]4^2+5^2=16+25=49\neq 9^2 \ \ \ \ \ [9^2=81][/tex]
These sides do not represent a right triangle.
enter a negative number that has an absolute value greater than -10
Answer: -9
Step-by-step explanation: Your welcome
Right answer gets brainlist
Answer:
50
Step-by-step explanation:
What’s the distance between the points! round to the nearest tenth i need to show work please help i’m failing!
Answer:
[tex]\sqrt{109}[/tex]
Step-by-step explanation:
using pythagorean theorem
height:3
length=10
a^2+b^2=c^2
a=height=3
b=length=10
9+100=c^2
c=[tex]\sqrt{109}[/tex]
Find N and explain how
Answer:
The value of n is 5
Step-by-step explanation:
Here, we want to get the value of n
To get this, we will need to use the appropriate trigonometric identity
As we can see, n represents the opposite as it the side that faces the angle given
m is the hypotenuse as it is the side that faces the right angle
The last side is called the adjacent
The trigonometric identity we want to use is that which connects the opposite to the adjacent
The appropriate trigonometric identity to use in this case is the tan
Thus;
Mathematically, the tan is the ratio of the opposite to the adjacent
hence;
tan 30 = n/ 5 √3
n = 5 √3 * 1/ √3
n = 5
circular swimming pool has a diameter of 30 feet and a depth of 5 feet. Which equation can be used to find V, the volume of the swimming pool, in cubic feet?
Answer:
V = hπr^2
V = 5 X π X 15^2
V = 3534.29173
V = 3534.2 cubic feet
The equation that can be used to find the volume V of the swimming pool is πr²h
The swimming pool is circular and has a diameter of 30 feet and a depth of 5 feet.
This simply means the swimming pool follows the shape of a cylinder. The
two bases are circular and has a height of 5 feet.
Therefore, the volume of the swimming pool in cubic feet is the volume of a cylinder.
volume = πr²h
where
r = radius = 30 / 2 = 15 feet
h = 5 feet
volume = 3.14159 × 15² × 5 = 3.14159 × 225 × 5 = 3534.28875 = 3534.3 ft³
learn more about cylinders here: https://brainly.com/question/20766511?referrer=searchResults
1 point
Frank spent 18 dollars at Wawa, now he has no money left. How much did
he start with? *
36
24
0
18
Nancy estimates that she sleeps 3000 hours per year.How many days per year is this to the nearest day
Answer:
125
Step-by-step explanation:
3000 divided by 24 (hours in a day)=125 days
will give brainliest please help
8+ 6t-3t+ t
Answer:
4(2+t)
Step-by-step explanation:
A term is a single mathematical expression. We can see in this expression there are four terms, each separated by an operation:
8, 6t, -3t, and 1.
Coefficients are the numbers that multiply variables. You can also just think of them as the number in front of any variable. Here we see we have two terms with variables:
6t, -3t
and therefore our coefficients are:
6, -3
Constants are numbers that are, well, constant - you could also just think of them as "normal" numbers. We can see in this expression you have two:
8, 1
Like terms are terms of the same type. We have two like terms with a variable in them:
6t, -3t
and two like terms that are constants:
8, 1
Victory Theater offers matinee tickets that are 35% cheaper than the tickets for the
evening shows. If an evening ticket costs $8.00, how much does a matinee ticket
cost?
A. $2.80
B. $5.20
C. $7.65
D. $10.80

Answer:
B
Step-by-step explanation:
35% off of $8.00 is equal to $5.20
✧brainliest appreciated✧
-4(2 + 8g)=
Pleaseee
Answer:
Well when simplified your answer would be
-8-32g
Step-by-step explanation:
So distribute -4 to each number in the parentheses
-4*2= -8
-4*8g= -32g
Now the answer is
-8-32g
How many solutions does this equation -2(x+3)= 1/4x- (5-x) have?
Answer:
the equation only has 1 solution
Step-by-step explanation:
Answer:
One solution
x = -4/13
Explanation:
Image below
max read 1/8 of his book on Monday and 1/6 of his book on Tuesday. what fraction of his book did he read altogether on these days
If the measure of angle 5 is 98 degrees, what is the measure of angle 8 of angle 7 of angle of angle 6
Answer:
angle 8= 82 degrees
angle 7 = 98
angle 6 = 82
Step-by-step explanation:
5 and 7 are congruent because vertical angles.
5 and 8 are supplementary.
plz help will give brainliest!!!
Answer:
$6120 (Plz GIve me BRailiest)
Step-by-step explanation:
Pls help me with this question.
Answer:
x=1Step-by-step explanation:
[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]
[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]
[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]
[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]
hope it helps:)
Nathan wants to draw a triangle. He knows that the lengths of the two shorter sides are 5 inches and 7 inches. What is a possible length of the third side? Group of answer choices
Answer:
8.6
Step-by-step explanation:
From the above question, we know that the length of the third side is the longest. Hence, we apply Pythagoras Theorem
c² = a² + b²
a = 5, b = 7
c = Third side
c = √a² + b²
c = √5² + 7²
c = √25 + 49
c = √74
c = 8.602325267
Approximately c = 8.6
Possible length of the third side = 8.6
A man finds that the angle of elevationof a building is 22º. After walking 20 m towards the building, he finds that the angle of elevation is 33º. Find the height of the
building?
Answer:
The height of the building is 21.38 m
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.
It's required to find the height of the building H.
The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:
[tex]\displaystyle \tan y=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
[tex]\displaystyle \tan 22^\circ=\frac{H}{D+B}[/tex]
Multiplying by D+B:
[tex]\tan 22^\circ(D+B)=H[/tex]
Dividing by tan 22°
[tex]\displaystyle D+B=\frac{H}{\tan 22^\circ}[/tex]
Subtracting B:
[tex]\displaystyle D=\frac{H}{\tan 22^\circ}-B\qquad\qquad[1][/tex]
Applying to the smaller triangle:
[tex]\displaystyle \tan 33^\circ=\frac{H}{D}[/tex]
Multiplying by D:
[tex]\tan 33^\circ D=H[/tex]
Substituting from [1]:
[tex]\displaystyle \tan 33^\circ \left(\frac{H}{\tan 22^\circ}-B\right)=H[/tex]
Substituting values:
[tex]\displaystyle 0.6494 \left(\frac{H}{0.4040}-20\right)=H[/tex]
Operating:
[tex]1.6074H-12.988=H[/tex]
[tex]1.6074H-H=12.988[/tex]
[tex]0.6074H=12.988[/tex]
[tex]H = 12.988/0.6074[/tex]
H = 21.38 m
The height of the building is 21.38 m
Find the unit rate for 72 oz. for 12 servings.
72 servings
12 servings
6 oz. per serving
12 oz. per serving
Answer:
6 onuces per serving
Step-by-step explanation:
A linear model for the data in the table is shown in the scatter plot.
X Y
1 2
2 6
5 6
6 9
7 11
9 10
10 13
(A) which two points should you use to find the equation for the model?
(B) what is the slope of the linear model? Show your work.
(C) what is the equation of the linear model in point slope form?
(D) what is the slope-intercept form of the equation you wrote in part (c). Show your work.
(E) what is the equation for the least squares regression line? Round the values for a and b to three decimal places)
Please be detailed! I really need help!
a) The two points that should be used to find the equation are given as follows: (6,9) and (10,13).
b) The slope of the linear model is of 1.
c) The point-slope form of the linear model is given as follows: y - 9 = (x - 6).
d) The slope-intercept form of the equation you wrote in part (c) is given as follows: y = x + 3.
e) The least squares regression line is given as follows: y = 1.028x + 2.271.
What is the slope-intercept definition of a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope.b is the y-intercept.Two points from the line are defined as follows:
(6,9) and (10,13).
These points were chosen as they have the least residual, that is, these points are the closest to the line of best fit.
Given two points, the slope is calculated as the change in y divided by the change in x, hence:
m = (13 - 9)/(10 - 6) = 1.
Considering point (6,9), the point-slope equation is given as follows:
y - 9 = (x - 6).
Hence the slope-intercept definition of the linear function is given as follows:
y - 9 = x - 6
y = x + 3.
The points from the scatter plot are given as follows:
(1,2), (2,6), (5,6), (6,9), (7,11), (9,10), (10,13).
Inserting these points into a linear regression calculator, the regression line is given as follows:
y = 1.028x + 2.271.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Help GIVING BRAINLISTTTT
Answer:
12 x 3 = 36
Step-by-step explanation:
This is a Multiplication problem Because the Factory can produce 12 shoelaces in 3 minutes so take 12 and multiply it by 3 and your answer is 36. So the factory made 36 shoelaces in that time.
Answer:
12*3=36
Step-by-step explanation:
Complete the square to find the standard form for this circle: x^2 + 4x + y^2 + 16y - 20 = 0
Step-by-step explanation:
x² + 4x + y² + 16y - 20 = 0
(x² + 4x + 4) + (y² + 16y + 64) - 4 - 64 - 20 = 0
(x + 2)² + (y + 8)² = 88.
how to solve this?????????????
Answer: 6.25 cm
Step-by-step explanation:
Area of parallelogram [tex]A=base\times height[/tex]
Using base as AB and height as DE
[tex]Area=8\times 5[/tex]
Now, using base BC and height as DF
[tex]Area=6.4\times x[/tex]
Equating area
[tex]8\times5=6.4\times x\\x=6.25\ cm[/tex]
Which equation has exactly ONE solution?
Answer:
I believe B could be wrong
Which is the correct reason why (x+y)^2 is not equal to x^2+y^2
Answer:
Step-by-step explanation:
It would be easier to just show you.
Because we're using variables, I'm going to plug in a random set of numbers to stand for x and y.
(x+y)^2
(2+4)^2=36
vs.
x^2+y^2
2^2+4^2=20
The difference is because, following the order of operations, in the first situation you must first take care of what is in the parenthesis, which means you add x and y together-then you multiply that combined number by the 2nd power. Whereas in the second situation, you multiply x and y by the 2nd power separately, and then add the product of that together. So opposite order. In the first situation you add, then multiply. In the second, you multiply then add.
25. 9y + (2x + 1)
y= 1/2
x= 7
PLZZZ HELP ME PLZZZZZZZZZ
Answer:
19.5 or 19 1/2
Step-by-step explanation:
9y + (2x + 1)
9y + (2 x 7 +1)
9y + (14 +1)
9y + 15
9 x 1/2 +15
4.5 + 15
= 19.5
Answer:
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept:
(0,392)
Step-by-step explanation:
sorry if this isn't the answer you were looking for.
A triangle has a base of LaTeX: 3\frac{2}{5}3 2 5 inches and an area of LaTeX: 5\frac{1}{10}5 1 10 square inches. Find the height of the triangle (in inches).
Answer:
For instance, there's the basic formula that the area of a triangle is half the base times the height. This formula only works, of course, when you know what the height of the triangle is. ... That is to say, the area of a triangle is half the product of two sides times the sine of the included angle.
Step-by-step explanation:
Write the rule for the linear function. Remember a function rule is written using
Answer:
The rule for the linear function will be:
f(x) = -2x+1
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear as shown in the attached graph
Taking two points
(0, 1)(1, -1)Finding the slope between (0, 1) and (1, -1)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-1 - 1] / [1 - 0]
= -2 / 1
= -2
Thus, the slope of the line = m = -2
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 1
Thus, the y-intercept b = 1
Now, substituting m = -2 and b = 1 in the slope-intercept form of linear function
y = mx+b
y = (-2)x + 1 ∵ m = -2, b = 1
y = -2x+1
f(x) = -2x+1
Therefore, the rule for the linear function will be:
f(x) = -2x+1
The grocery store sells 2 pounds of potatoes for $1.50. At this price, how much do 5 pounds of potatoes cost? What is the unit rate?
Answer:
5 pounds of potatoes is $3.75 1 pound is .75 cents
Step-by-step explanation:
Which equation has all real numbers as solutions?
A 3y = 3y + 1
B 3y = 3
C 3y = 0
D 3y + 1 = 3y + 1