Answer:
8.9 cm
Step-by-step explanation:
We have
[tex]\overline {UV} = 16.8 cm\\\\\overline {WV} = 7.9 cm\\\\ Since all lines are scalars, \overline{WV} = \overline{VW}\\\textrm{We see that \overline{UW} + \overline{WV} = \overline{UV}\\\\\overline {UW} \\ = \overline {UV} - \overline {WV} = 16.9 - 7.9 = 8.9 cm}[/tex]
Given f(x) = 4x + 5, find f(-3).
Answer:
-7
Step-by-step explanation:
f(x)=4x+5
f(-3)=4x+5
=4(-3)+5
-12+5
f(-3)= -7
The "x" in f(x) is the "x" in the equation
what is the circumfrence of a circle with a diameter of 10 meters
Answer:
31.42m
Step-by-step explanation:
Find[tex]C = (22/7) \times d\\C = 3.14 \times 10\\C = \mathrm{31.42m}[/tex]
Find the value of x.
(6x + 7)º
(8x-17)°
(6x+7) and (8x-17)° are both vertical angles; so, the value of x is 12.
What is verticle angles?When two straight lines cross, the angles that are opposite one another are called vertical angles. (These two lines should technically be on the same plane.)
Angles vertically are congruent.
According to the given value;
Let the angles be A and B; such that:
A = 6x+7
B=8x-17
By theorem of vertical angles
A = B
So, we have:
6x+7=8x-17
Collect like terms
8x-6x=7+17
2x=24
x=12
Hence the value of x is 12.
Read more about vertical angles, visit;
brainly.com/question/24460838
#SPJ9
4 + 10(5 − 3) ÷ 4 + 6²
Answer:
45
Step-by-step explanation:
=4+10×2÷4+36
=4+5+36
=45
simplify 7(x+1)+-7(-6x+-9)
Answer:
49x=70
Step-by-step explanation:
Find the population mean or sample mean as indicated. Sample: 16, 17, 5, 6, 16
Answer:
sample mean = 12
Step-by-step explanation:
To find the mean of a sample of items, we can use the following formula:
[tex]\boxed{\mathrm{mean = \frac{sum \ of \ items}{number \ of \ items}}}[/tex].
In this question, we are given the following items: 16, 17, 5, 6, and 16.
• sum of items = 16 + 17 + 5 + 6 + 16
= 60
• number of items = 5
∴ mean = [tex]\frac{60}{5}[/tex]
= 12
Therefore, the sample mean is 12.
S(-2, 4) and T (3,9).
The midpoint is MC). The distance between S and T is about
We get the distance between the coordinates of the point S and T as 5 √2 units.
We are given the coordinates of two points as:
S = ( - 2, 4 )
T = ( 3, 9 )
We have to find the distance between the points S and T.
We will use the distance formula for this.
Distance = √(x₂ - x₁)² + ( y₂ - y₁)²
Here, we have:
x₁ = -2
x₂ = 3
y₁ = 4
y₂ = 9
Substituting the values in the formula, we get that:
Distance = √(3 + 2)² + ( 9 - 4)² units
Distance = √(5)² + ( 5)² units
Distance = √25 + 25 units
Distance = √50 units
Distance = 5 √2 units
Therefore, we get the distance between the coordinates of the point S and T as 5 √2 units.
Learn more about coordinates here:
https://brainly.com/question/11337174
#SPJ9
9.
4
Rena is building a model of a castle using a scale of 1inch = 60 yards. Her model has a rectangular base that is 3 inches wide and 4 inches long.
What is the area of the actual base of the castle in square yards?
The area of the actual base of the castle in square yards is 43200 yards².
How to calculate the area?From the information, Rena is building a model of a castle using a scale of 1inch = 60 yards. Her model has a rectangular base that is 3 inches wide and 4 inches long.
The normal width will be:
= 60 × 3 = 180
The length will be:
= 4 × 60 = 240
Therefore, the area will be:
= Length × Width
= 240 × 180
= 43200 yards²
Learn more about area on:
brainly.com/question/25292087
#SPJ1
AFter solving equation what does "interpret the quotient of the two fractions" mean?
Answer:
It literally means either find out what the fractions divided by each other would be or find the answer to the fraction.
Ex: 5/10 divided by 1/2= 1
Ex: 5/10 is equal to 0.5
Step-by-step explanation:
Answer: means either find out what the fractions divided by each other would be or find the answer to the fraction.
Step-by-step explanation:
Write a compound inequality: a quantity of x is greater than 10 and less than 20
The compound inequality is: x<20 and x>10
Given, a quantity of x is greater than 10 and less than 20.
A compound inequality (also known as a compounded inequality) is created when two or more inequalities are coupled with and. One part of an inequality must be true for a value to be a solution to an or inequality. It must make both parts true in order to be the solution to an inequality. X<3 or X>2, for instance.
Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.
Simply put, a compound inequality is more than one inequality that we want to address simultaneously. When referring to the resolution of both inequalities, we can either use the term "and" or "or."
Learn more about Compound Inequality here:
brainly.com/question/234674
#SPJ9
Complete the factor tree for 1,575.
Press each hotspot
Label the corresponding number below with the requested factor.
Answer:
See the factor tree in the attached image
Step-by-step explanation:
1575 ÷ 5 = 315
315 ÷ 5 = 63
63 ÷ 7 = 9
Factors of 9 are 3 and 3
Can somebody pls help me with this question? Giving lots of points!
Answer:
x^2
Step-by-step explanation:
A number is automatically X. X is any number that is unknown, and the number is unknown in this problem
Answer:
x^2
Step-by-step explanation
x is the number, and since its raised to the second power its x^2
will give brainliest need quickly though
Answer:
just use the calculator
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular, or neither . Y=20x+9, y=6x-4
Answer:57368
Step-by-step explanation:
put all them on top like this 573 you can do this 68
I rly need help
-11+9(-7+3)
Answer:
6
Step-by-step explanation:
-7 + 3 = -4
-11 + 9 = -2
-4 + -2 = 6
Which describes the function on the graph below
We get that the correct option is option (C) for the graph of the function as it is increasing before x = -2 and from x = 0 to x = 2.
We are given a graph of a function.
A graph of a function is a special case of a relation.
In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y.
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Here, we can see that function increases before x = - 2, then it decreases till x = 0, then it again increases from x = 0 to x = 2 and then it again decreases.
Therefore, we get that the correct option is option (C) for the graph of the function as it is increasing before x = -2 and from x = 0 to x = 2.
Learn more about function here:
https://brainly.com/question/4025726
#SPJ9
Carolyn says that point a and point b represent opposite integers what is the opposite of the integer represented by a point ?by b point
The value of integer a is (-a).
To solve this problem first of all we have to understand the concept of opposite integers.
The opposite integers are nothing but an integer with two different sign but has same numerical value.
Suppose there is an integer y then the opposite of integer is -y. And the opposite of an integer -h is +h.
Here it is asked to find the opposite integer of a.
The opposite of integer a is given to be b but the value of integer is -a.
To learn more about integers visit the link:
https://brainly.com/question/15276410
#SPJ9
How do I solve this??
Answer: 144
Step-by-step explanation:
Product =(12^-5)*(12^7) = 144
Write 1668 in scientific notation
Answer:
Tabla de contenido
Cuando separamos el número 1668 en un coeficiente y una potencia de 10, se obtiene el número 1668 en forma exponencial, pero hay un número indefinido de posibilidades.
Como probablemente desees expresar el número 1668 en notación científica normalizada, el coeficiente o significando de 1668 debe estar en el intervalo de 1 a 10.
En otras palabras, el coeficiente debe ser mayor o igual a 1 y menor a 10, es decir, 1 ≤ |m| < 10.
En esta publicación nos referimos al número 1668 en la versión normalizada, a menos que se indique lo contrario.
No es una convención, pero esto refleja el uso del término en la vida diaria.
Por lo tanto: 1668 = 1.668 × 10^3.
También puedes encontrar el resultado de la conversión numérica en los campos de salida de nuestro convertidor en la parte superior del artículo.
Step-by-step explanation:
Mary bought a pair of jeans for 30$ and a sweater for 20$. if sales tax is 7% of the total how much did she pay for the jeans sweater and tax altogether
Answer:
53.5
Step-by-step explanation:
7% of 50 is 3.5 and you add it
Which diagram shows lines that must be parallel lines cut by a transversal?
The first diagram shows the parallel lines cut by a transversal.
According to the statement
We have to explain all about the parallel lines cut by a transversal.
So, For this purpose, we know that the
A transversal line is a line that passes through two lines in the same plane at two distinct points.
And
Parallel lines are lines in a plane that are always the same distance apart.
From the given information:
In the given pictures we see that there are the presence of the two parallel lines and a one line is passes through these lines and cut the two parallel lines and there is a formation of the some angles in it.
And by property and the behavior of the transversal line to the parallel lines.
The diagram in first option shows a perfect lines that must be parallel lines cut by a transversal.
So, The first diagram shows the parallel lines cut by a transversal.
Learn more about parallel lines and transversal here
https://brainly.com/question/24607467
#SPJ9
CAN SOMEONE EXPLAIN TO ME HOW TO SOLVE 8^15÷8^7×8
So, we are to solve: [tex] {8}^{15} \div {8}^{7} \times 8[/tex]
Using the exponential rule of multiplication and division with the same bases, which are:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
and:
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
Therefore:
[tex] {8}^{15} \div {8}^{7} \times {8}^{1} = {8}^{15 - 7 + 1} [/tex]
→[tex] {8}^{9} = 134217728[/tex]
Therefore: 134217728 is the final answer
I hope this helps.
The tile floor in a restaurant is being replaced. The dimensions of the floor are shown. What is the total area of the new tile floor in the restaurant? 15 ft 12 ft 20 ft 17 ft
The total area of the new tile floor in the restaurant = 240 ft².
What is geometric figure?A geometric figure is any arrangement of points, lines, or other planes. Depending on the proportions of the figure, geometric figures are frequently categorized as space figures, plane figures, lines, line segments, rays, as well as points.
What do geometric forms look like?Geometric forms are any open or closed structures with specific shapes and attribute dreamed up of lines, curves, and points. Geometric shapes include square, rectangles, circles, cones, cylinders, sphere, and so on. All of these forms have characteristics that distinguish them from others.
According to the given data:Length of rectangle = 15ft
width of rectangle = 12ft
hypotonus = 17ft
First finding the area of the rectangular part:
area = L x B
= 15 x 12
= 180 ft²
First finding the area of the triangular part:
Area = 1/2 *(B *h)
= 1/2 * (8 * 15)
= 1/2 * 120
= 60 ft²
The total area of the new tile floor in the restaurant = 180 + 60
= 240 ft²
To know more about geometric figure visit:
https://brainly.com/question/12734357
#SPJ9
1.268 multiplied by 100
Help me answer Thank for helping
Answer:
1.6
Step-by-step explanation:
first we want to figure out the square roots. the square root of 12 would be 3.5. while the square root of 3 is 1.7
after figuring out the square roots, our equation is -3.5 + 3(1.7)
first we want to multiply 3 by 1.7
this would give us 5.1
leaving our equation as -3.5 + 5.1
our final step is to add 5.1 to -3.5
although i find it easier to just subtract 3.5 from 5.1 since 3.5 is a negative.
this would give us 1.6
Find C that is 1/5 the distance from A(4, 2) to B(8, 7).
The coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}
Midpoint of a lineThe formula for calculating the point on a line divided into ratio a:b is expressed as;
C(x,y) = {(ax₁+bx₂)/2, (ay₁+by₂)/2}
Given the following coordinate points A(4, 2) to B(8, 7) divided in the ratio 1:5 is expressed as:
C(x,y) = {(1(4)+5(8))/1+5, (1(2)+5(7))/1+5}
C(x,y) = {(44/6, (37/6)}
Hence the coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}
Learn more on midpoint here: https://brainly.com/question/5566419
#SPJ1
One half of 96 is equal to 80% of what number?
(A) 35
(B) 60
(C) 76
(D) 84
(E) 90
*Lets see who will get brainiest*
A quadrilateral in the third quadrant is rotated 90° clockwise about the origin. Which quadrant will the transformed quadrilateral be in?
A.
first quadrant
B.
second quadrant
C.
third quadrant
D.
fourth quadrant
Answer:
B
Step-by-step explanation:
Since the quadilateral rotated 90° from the third quadrant it then lands back on the second quadrant.
What is the solution to the following equation?
15+ x = -2
OA. x=17
O B. x = -17
OC. x=13
OD. x=-13
Answer:
x = -17
Step-by-step explanation:
You can plug in answer choices, or you can get x by itself.
I got x by itself because it is faster. Simply subtract 15 from both sides.
So, you would get x = -2 - 15. Keep change change to subtract negative numbers => -2 + -15 which equals to -17.
So x = -17.
You can also plug it in: 15 + -17 does equal -2.
The graph below shows the ages of the top five male finishers in the Mt. Washington Auto Road Bicycle Hillclimb each year from 2017 through 2021.
1. Write the relation of this situation as a set of ordered pairs in terms of (age, finishing place).
2. Identify the domain and range of the relation.
3. Do the ordered pairs represent a function? Explain.
From the given table, we have that:
1. The relation of the situation is: (20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).
2. The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.
3. There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.
What is the relation of this situation?
To build the relation, we look at the graph, and write all pairs of (Age, Finishing Place), as follows:
(20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).
What are the domain and the range?The domain of a relation is the set that contains all possible input values for the values, that is, the values of x.The range of a relation is the set that contains all possible output values for the values, that is, the values of y.Hence, for the given relation:
The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output.
For this problem, we have that:
There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.
More can be learned about relations and functions at https://brainly.com/question/12463448
#SPJ1