Answer:
3 < x < 11
Step-by-step explanation:
triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side
if 'x' is the third side then:
x + 4 > 7
7 + 4 > x
therefore, 'x' must be greater than 3 and less than 11
The value of the third side should be < 11 so, it cannot be 11, the correct option is C.
What is a Triangle?A triangle is a polygon with three sides, three vertices and three angles.
The two sides of a triangle are 4 and 7
According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.
The sum of the sides is 4+7 = 11
Let the third side be x
then,
x < 11
The x cannot be 11.
The missing options are
A. 4
B. 7
C. 11
D. 5
To know more about Triangle
https://brainly.com/question/2773823
#SPJ5
Solve the simultaneous equations
2x – 3y = 12
3x + 4y = 1
Answer:
x=3 and y=−2
Step-by-step explanation:
Multiply the first equation by 4,and multiply the second equation by 3.
4(2x−3y=12)
3(3x+4y=1)
Becomes:
8x−12y=48
9x+12y=3
Add these equations to eliminate y:
17x=51
Then solve17x=51for x:
17x=51
17x
17
=
51
17
(Divide both sides by 17)
x=3
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
2x−3y=12
Substitute3forxin2x−3y=12:
(2)(3)−3y=12
−3y+6=12(Simplify both sides of the equation)
−3y+6+−6=12+−6(Add -6 to both sides)
−3y=6
−3y
−3
=
6
−3
(Divide both sides by -3)
y=−2
Answer:
[tex](3,-2)[/tex]
Step-by-step explanation:
[tex]2x-3y=12[/tex]
[tex]2(3)-3(-2)=12[/tex]
[tex]6--6=12[/tex] Two negative signs together makes a addition
[tex]3x+4y=1[/tex]
[tex]3(3)+4(-2)=1[/tex]
[tex]9-8=1[/tex]
At a local university, there are 4340 students enrolled in History. The ratio of males to
females in therprogram is 3:7. How many males and females are enrolled?
Answer:
1302 males & 3038 females
Step-by-step explanation:
3x + 7x = 4340
10x = 4340
x = 434
3(434) = 1302 males
7(434) = 3038 females
Write the equation of a line with a slope of-5/7 and a y-intercept of 1.
Answer:
y = -5/7x + 1
Step-by-step explanation:
y = -5/7x + 1
9) Solve for w:
W +12
2w
Answer:
w = 26
Step-by-step explanation:
set up an equation; since this is a right angle, it equals 90 degrees
90 = w + 12 + 2w
90 - 12 = w + 2w
78 = 3w
78/3
w = 26
Answer:
w = 26
Step-by-step explanation:
2w +w + 12 =90
3w +12 = 90
-12 -12
3w = 78 then 3w/3 = 78/3
w=26
A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000 people, 28 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer: 0.4%
Step-by-step explanation:
First, a porportion needs to be set up.
part/whole = percent/100
28/7,000 = x/100
Second, cross multiply.
2800=7,000x
x=0.4
no links please!!!!!!!!!ty!!!
Answer:
<2 = 75
Step-by-step explanation:
<1 and <2 form a straight line which means that they add to 180
<1+<2 =180
105+<2 =180
Subtract 105 from each side
<2 =180-105
<2 = 75
pls help me on this i don't know what to do
Answer:
D.
Step-by-step explanation:
Standard Form (Quadratic): [tex]y=ax^2+bx+c[/tex]
Vertex Form (Quadratic): [tex]y=a(x-h)^2+k[/tex]
Intercept Form (Quadratic): [tex]y=a(x-p)(x-q)[/tex]
p,q are x-intercepts
x-intercepts given in graph: -2,4
[tex]y=a[x-(-2)](x-4)[/tex]
eqn 1: [tex]y=a(x+2)(x-4)[/tex]
Plug in the given point to find 'a' : (3,-5)
[tex]-5=a(3+2)(3-4)[/tex]
[tex]-5=a(5)(-1)[/tex]
[tex]1=a[/tex]
Substitute 'a' in to eqn 1.
[tex]y=1(x+2)(x-4)[/tex]
eqn 2: [tex]y=(x+2)(x-4)[/tex]
Expand eqn 2. (can use FOIL)
[tex]y=x^2-2x-8[/tex]
Need this in now like ASAP.
Fill the blanks in with yes or no
Answer-
a. no
b. yes
c. no
An angle is bisected by a segment forming two new angles find m
Answer:
60
Step-by-step explanation:
Note that angle ZXY is the bisected angle which was split into angle 1 and 2
Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )
If angle 2 = 30 then angle 1 also = 30
Like stated multiple times angle ZXY is made up of angle 1 and 2
Hence, Angle ZXY = Angle 1 + Angle 2
Angle ZXY = 30 + 30 = 60
Find the value of x
Answer:
x=56
Step-by-step explanation:
Since the angles are all the same,
D=78
F=46
All you have to do is subtract these numbers from 180, which gives you 56
Answer:
56
Step-by-step explanation:
For question 12, use the graph to guess one zero for the polynomial whose graph is shown. Then, factor completely.
12) f(x) = x³ - 6x² + 6x + 8
Answer:
x³ - 6·x² + 6·x + 8 = (x - 4) × (x - (1 + √3)) × (x + 1 + √3)
Step-by-step explanation:
From the given graph of the polynomial, x³ - 6·x² + 6·x + 8, we have that one of the zeros of the polynomial, which is one point the graph cuts the x-axis is given as follows;
At a zero, we have, x = 4
∴ x - 4 = 0 is a factor of the polynomial
Dividing the given polynomial by (x - 4), gives;
x² - 2·x - 2
(x³ - 6·x² + 6·x + 8)÷(x - 4)
x³ -4·x²
-2·x² + 6·x + 8
-2·x² + 8·x
-2·x + 8
-2·x + 8
0
∴ (x³ - 6·x² + 6·x + 8)÷(x - 4) = x² - 2·x - 2
∴ (x - 4) × (x² - 2·x - 2) = x³ - 6·x² + 6·x + 8
Factorizing x² - 2·x - 2, gives;
x = (2 ± √((-2)² - 4×1×(-2)))/(2 × 1) = (2 ± 2·√(3)/(2) = (1 ± √(3)
Therefore, x = 1 + √3, (x - (1 + √3)) = 0 or x = 1 - √3, (x - (1 - √3)) = 0 which gives the factors, after factorizing completely as follows;
x³ - 6·x² + 6·x + 8 = (x - 4) × (x - (1 + √3)) × (x + 1 + √3)
Raymond is four times as old as christine plus 5 years.Write an algebraic expression for Raymonds age in terms of christine age
Answer:
4c + 5 = R
Step-by-step explanation:
This should help you
Please give real answers with an explaination. I will follow + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.
Answer:
129 = x
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
47+82 = x
129 = x
Answer:
47+82 = x
129 = x
hope it helps
Help asap please im failing
Step-by-step explanation:
Convert each fraction by setting up proportion out of 100.
[tex] \frac{60}{90} = \frac{?}{100} [/tex]
[tex] \frac{78}{150} = \frac{?}{100} [/tex]
[tex] \frac{75}{120} = \frac{x}{100} [/tex]
Cross multiply each fraction. let x represent the missing number.
[tex]6000 = 90x[/tex]
[tex]7800 = 150x[/tex]
[tex]7500 = 120x[/tex]
Solve for x
For the first equation.
[tex]x = 66.66666[/tex]
For the second equation
[tex]x = 52[/tex]
For the third equation,
[tex]x = 62.5[/tex]
Round each missing value to the nearest whole value and add the % sign.
60/90=67%
78/150=52%
75/120=63%
He scored the highest on his English test.
The function C(x) = 400x - 0.2x ^ 2 represents the total costs for a company to produce a product, where in dollars and x is the number of units sold. Which statement is true? is the total cost
Answer: it b y’all
Step-by-step explanation: I took the test
Answer:
B
Step-by-step explanation:
To determine the maxima and minima of the polynomial, differentiate the given based on x and equate to 0. C(x) = 400x - 0.2x² dC(x) / dt = 400 - 0.4 x = 0 The value of x is 1000. This is the value of the maxima. As the value of C(x) continously becomes lesser as the value of x is set higher, the minima is not identified. Substitute x to the original equation, C(x) = (400)(1000) - 0.2(1000²) = $ 200,000Thus, the answer is letter B.
Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eaten, and 3/4 of another apple pie was eaten 1/2 of the blackberry pie was eaten 1/8 of the blueberry pie was eaten 5/8 of the cherry pie was eaten 3/4 of the peach pie was eaten. What is the total amount of pies that where left over
Answer:
2 1/4
Step-by-step explanation:
amount left of apple pie = 1 - 3/4 = 1/4
amount left of blackberry pie = 1 - 1/2 = 1/2
amount left of blueberry pie = 1 - 1/8 = 7/8
amount left of cherry pie = 1 - 5/8 = 3/8
amount left of peach pie = 1 - 3/4 = 1/4
add this figures together
1/4 + 1/2 + 7/8 + 3/8 + 1/4
2 4 + 7 + 3 + 2
8
Which expression is equivalent to the expression shown (5^3) ^9 divided 5^12
Answer:5 exponent of 15
Step-by-step explanation:trust
Evaluate the expression when x = 4 and y=5.
Answer:
49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
3x² + 4y⁰ - x⁻¹
3(4)² + 4(5)⁰ * (4)⁻¹
3(16) + 4(1) * 1/4
48 + 4 * 1/4
48 + 4/4
48 + 1
49
Need help what is the slope line that passes though the points
Slope = change in y / change in x
Slope = (4 - -8) / (-14 - -6)
Slope = 12/-8
Simplify:
Slope = -6/4
Answer:
-3/2
Step-by-step explanation:
To find the slope, use the slope formula
m = (y2-y1)/(x2-x1)
m = (4 - -8)/(-14 - -6)
= ( 4+8)/(-14+6)
= 12/-8
-3/2
How can I find the area of an 18gon with a radius length 1ft
Answer:
Step-by-step explanation:
If we draw radii from the center of this 18-gon to each vertex, we end up with 18 triangles that are all congruent to each other. If we divide 360 by 18 we get the measure of the vertex angle of each of these 18 triangles. 360/18 = 20. So we take one of these triangles and pull it out and use it as a representative triangle from which we use trig to find its height and its base length.
The formula for the area for a regular polygon is
[tex]A=\frac{1}{2}ap[/tex] where a is the apothem (the height of our triangle) and p is the perimeter (found from the base of our triangle).
If we split this triangle we extracted right down the center vertically, we get 2 right triangles. Pull one of those out and this is the triangle we work with. The vertex angle is split in half and it now measures 10. The one base angle is the right angle and, by the Triangle Angle-Sum Theorem, the other base angle is 80. To find the height (or the apothem) of this right triangle that has a hypotenuse of 1 (the radius of the polygon is the hypotenuse of the right triangle), we use the sin or cos ratio. I used cos:
[tex]cos10=\frac{a}{1}[/tex] so
a = .9848
To find the base of this right triangle, I used the sin ratio:
[tex]sin10=\frac{p}{1}[/tex] so
p = .1736. But this is only half the length of one of the sides of the polygon, so multiply it by 2 to get the length of the whole side.
.1736 * 2 = .3473
Now, in order to find the perimeter, we multiply that one side by 18 to get
p = 6.2514
Now we're ready to find the area:
[tex]A=\frac{1}{2}(.9848)(6.2514)[/tex] so
A = 3.078 square feet
Mr. Hayes is having friends over to watch basketball and needs to buy snacks T buys five boxes of crackers in each box there are three saves of 24 crackers how many crackers did he buy all together this is a two step problems try multiplying numbers in different orders do you get the same answer
Answer:
120 crackers
Step-by-step explanation:
Given
[tex]Box = 5[/tex]
[tex]Crackers = 24/box[/tex]
Required
The total number of crackers
To do this, we simply multiply the number of box by the crackers per box
[tex]Total = Box * Crackers[/tex]
[tex]Total = 5 * 24[/tex]
[tex]Total = 120[/tex]
A cylinder has a radius of 6 and a height of 10 find the volume
Answer:
30cm
Step-by-step explanation:
Vn = Vc
1/3 X Pie x 6^2 x hn = Pie x 6^ x 10
hn = 30cm
Given: Radius=7cm,
Height=10cm
Volume of the cylinder=πr2h
=722×7×6×10=1540cm3
Does anybody know 5.4.7: Teenagers CodeHs. Please help I am stuck in this
Answer:
The program in Python is as follows:
age = int(input("Age: "))
if age>=13 and age <=19:
print("Teenager")
else:
print("Not a teenager")
Step-by-step explanation:
This gets input for age
age = int(input("Age: "))
This checks if age is between 13 and 19 (inclusive)
if age>=13 and age <=19:
If yes, the age is teenage
print("Teenager")
If otherwise, the age is not teenage
else:
print("Not a teenager")
Which one is it?
a) <
b) =
c) >
Answer:
A: less that
Step-by-step explanation:
4( 14)+3
36+3= 39
39 (2+9)6-7
(11)6-7
66-7
59
39<59
CAN SOMEONE PLEASE HELP ME FAST?
Answer:
whats the question
Step-by-step explanation:
The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If the cash price is 20% less the hire purchase pries, (a) find the costs price of the fridge (b) calculate the deposit (c) what is the monthly installments (d) what is the differences between the cash price and the hire purchase prie
Answer: a. 13120
b. 4100
c. 1025
d. 3280
Step-by-step explanation:
(a) find the costs price of the fridge
Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:
= (100% - 20%) × 16400
= 80% × 16400
= 0.8 × 16400
= 13120
(b) calculate the deposit
Since 25% is paid as deposit, the deposit will be:
= 25% × 16400
= 0.25 × 16400
= 4100
(c) what is the monthly installments
Monthly installments will be:
= (16400 - 4100)/12
= 12300/12
= 1025
(d) what is the differences between the cash price and the hire purchase price.
This will be:
Hire purchase price = 16400
Cash price = 13120
= 16400 - 13120
= 3280
The area of a circular plate is approximately 50.24 in2. What is the radius of the plate?
Answer:
area of the circular plate =πr²
50.24 =3.14×r²
r² =50.24/3.14
r² =16
radius =4 inch
Answer:
4 in
Step-by-step explanation:
When x=3 and y=-1, what is the value of this expression?
Answer:
what expression
Step-by-step explanation:
I don’t understand what to do on these question, some help would be nice (trigonometry)
Step-by-step explanation:
> find the angle of center circle:
cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°
so the sector area of the shaded
region =
(360-72)/360 × 3.14 × 5²
= 288/360 × 78.5
= 62.8
> the height of triangle (red Line) =
4×tan 72° = 4× 3.078 = 12.31
the height of pyramid (green
Line) = √12.31²-8.5² =√74.16
= 8.61
so the volume of pyramid =
⅓×(17×8)×8.61 = 390.32
The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.
Find the slope and y-intercept of the line.
m =
b =
Answer:
Step-by-step explanation:
They tell you the slope of the line is -63 :/ m= -63
and then they tell you the y-intercept is 825 b= 825
Why did you even need to ask about this ?