Answer: A
Step-by-step explanation:
Find the altitude of an equilateral triangle whose perimeter is 18
Answer:
3√3 units
Step-by-step explanation:
We are asked to find the altitude of the equilateral triangle whose perimeter is 18 . Firstly let us find the side of the∆.
[tex]\rm \implies a + a + a = 18 \\\\\rm\implies 3a = 18 \\\\\rm\implies a = 6 [/tex]
Now we know that in a equilateral triangle , the altitude of the triangle with side length a is ,
[tex]\rm\implies Altitude =\dfrac{\sqrt3}{2} a [/tex]
Plug in the value of a that is 6 , we will get ,
[tex]\rm\implies Altitude =\dfrac{\sqrt 3}{2} a \\\\\rm\implies Altitude =\dfrac{ \sqrt3}{2}\times 6 \\\\\rm\implies Altitude = \sqrt3 \times 3 \\\\\rm\implies\boxed{ \bf Altitude = 3\sqrt3 \ units }[/tex]
Please need help explanation need it
Answer:
308 m^3
Step-by-step explanation:
The volume is given by
V = l*w*h where l is the length , w is the width and h is the height
V = 7*4*11
V = 308 m^3
If a 750 ml bottle of juice costs £1.90 and a 1 litre bottle of the same juice costs £2.50 then the 750 ml bottle is better value.
Answer:
The 1 liter bottle is better value
Step-by-step explanation:
Cost of 750 ml = £1.90
Cost of 1 liter = £2.50
1000 ml = 1 liter
Cost per 250 ml
750 ml / 3 = £1.90 / 3
250 ml = £0.6333333333333
Approximately,
£ 0.633
Cost per 250 ml
1 liter / 4 = £2.50 / 4
250 ml = £0.625
The 750 ml bottle is not a better value
The 1 liter bottle is better value
Introduction to area of a piecewise rectangular figure
Given:
The piecewise rectangular figure.
To find:
The area of the piecewise rectangular figure.
Solution:
Draw a line and divide the given figure in two parts (a) and (b) as shown in the below figure.
Figure (a) is a rectangle of length 5 yd and width 3 yd. So, the area of the rectangle is:
[tex]Area=length\times width[/tex]
[tex]A_a=5\times 3[/tex]
[tex]A_a=15[/tex]
Figure (b) is a square of edge 2 yd. So, the area of the square is:
[tex]Area=(edge)^2[/tex]
[tex]A_b=(2)^2[/tex]
[tex]A_b=4[/tex]
The area of the given figure is:
[tex]A=A_a+A_b[/tex]
[tex]A=15+4[/tex]
[tex]A=19[/tex]
Therefore, the area of the given figure is 19 square yd.
Question#6 What is the next term of this sequence?-12, -15, -18, -21, ?
A.-22
B.-23
c. 24
D.-25
Answer:
-24
Step-by-step explanation:
-12, -15, -18, -21,
Notice that we are subtracting 3 each time
-12 -3 =-15
-15 -3 = -18
So -21 -3 = -24
Which expressions are equivalent to the equation below
Answer:
Polynomial Expression.
Step-by-step explanation:
What is the vertex of y = - ½ x2 + 5x – 8
Answer:
vertex is (5/2, -57/4)
Step-by-step explanation:
Steel rods are manufactured with a mean length of 29 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. (a) What proportion of rods has a length less than 28.9 cm? (b) b) Any rods that are shorter than 24.84 cm or longer than 25.16 cm are discarded. What proportion of rods will be discarded?
Solution :
Given data :
The mean length of the steel rod = 29 centimeter (cm)
The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)
a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).
Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)
= P(z < -1.42)
= 0.0778
b). Any rods which is shorter than [tex]24.84[/tex] cm or longer than [tex]25.16[/tex] cm that re discarded.
Therefore,
P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)
= 1.052
Which statements are true of functions? Check all that apply.
All functions have a dependent variable.
All functions have an independent variable.
The range of a function includes its domain.
A vertical line is an example of a functional relationship.
A horizontal line is an example of a functional relationship.
Each output value of a function can correspond to only one input value.
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
Step-by-step explanation:
Can some help me with 12 and 13 and 14
If 1 brick and 1/2 a brick together weigh 1 kg, what is the weigh of two whole bricks in kilos
Answer:
4/3 kg
Step-by-step explanation:
Let x represent a half brick, let y represent a 1 brick.
We know that 1 brick and 1/2 brick weigh 1 kg. so we represent this as
[tex]x + y = 1[/tex]
We know that obviously x is half of y. so
[tex]x = \frac{1}{2} y[/tex]
Subsitur this for x.
[tex] \frac{1}{2} y + y = 1[/tex]
[tex] \frac{3}{2} y = 1[/tex]
[tex] y = \frac{2}{3} [/tex]
This means one block weight 2/3 kg. So how much 2 weigh.
[tex] \frac{2}{3} \times 2 = \frac{4}{3} [/tex]
Answer:
The answer above is correct
Step-by-step explanation:
I have solved a), please help!
Answer:
Step-by-step explanation:
GHLM is a rectangle
MG = LH
MG = 14
ΔMXG ~ ΔKXL
In similar triangles, corresponding side are in same ratio.
[tex]\frac{MG}{MX}=\frac{XL}{XK}\\\\\frac{14}{7}=\frac{x}{8}\\\\\frac{14}{7}*8=x\\\\x = 8*2\\\\x= 16[/tex]
Which of the following is true of the discriminant for the graph below?
Considering that the quadratic equation has no solutions, the discriminant is classified as:
C. Negative.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The discriminant is:
[tex]\Delta = b^2 - 4ac[/tex]
The solutions are as follows:
If [tex]\mathbf{\Delta > 0}[/tex], it has 2 real solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 real solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.Looking at the graph, the equation has no solutions, hence [tex]\Delta < 0[/tex] and option C is correct.
More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811
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if i wanted to make a 40,000 payment in one year with a 5% annual interest rate, how much should i invest now?
Answer:
38,095.24
Step-by-step explanation:
40,000 = P(1 + 0.05)^1
P = 40,000/1.05
P = 38095.2380952
Tim has 17 marbles bob has 36 marbles and Jeffery has 49 marbles if they share all their marbles equally among themselves how many marbles will each boy get
If you don’t know the answer please don’t answer
Answer:
[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ { \tt{ \sin(55 \degree) = \frac{x}{15} }} \\ x = 15 \sin(55 \degree) \\{ \boxed{ \bf{ x = 12.29 \: }}} \: feet[/tex]
7/12 - ( 1- ( 2/3 - 3/4 ) ) =
The solution couldn't fit but I can explain
You basically solve the sum in the brackets first
multiply the sign in the brackets after the sum
Bryant bought 5 pounds of bananas for $3.45. If Mel bought 7 pounds of
bananas from the same market stand, how much did he pay?
Answer:
Here is your answer..
Hope it helps
Thank you so much for your help
Answer:
1.1x
Step-by-step explanation:
that is the procedure above
13 Solve the inequality n+7<5n-8
Answer:
3.75 < n
Step-by-step explanation:
n + 7 < 5n - 8
Add 8 to both sides
n + 7 + 8 < 5n
n + 15 < 5n
Subtract 'n' from both sides
15 < 5n - n
15 < 4n
Divide both sides by 4
[tex]\frac{15}{4}[/tex] < n
3.75 < n
I’m pretty sure the answer is c but I need further help to understand if I am right or not
Answer:
you are correct'v'
Step-by-step explanation:
in the first column it adds the next odd number, 1, 3, 5,7
and in the 2nd it mutiplies by 2 so it would be faster by a whole lot
Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.
HELP PLSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!
A : 12x2 - 48x + 21; all real numbers
B: -14x2 + 36x - 18; all real numbers except x = 7
C: 12x2 - 48x + 21; all real numbers except x = 1
D: -14x2 + 36x - 18; all real numbers
Answer:
Step-by-step explanation:
f(x) + g(x) = 2x - 7 - 6x - 3
f(x) + g(x) = -4x - 10
The domain is any real number.
I think you have mixed up the question. None of the choices are correct. They look like they belong to another choice.
It could be f(x)*g(x)
(2x - 7) (-6x - 3)
-12x^2 - 42x - 6x + 32
-12x^2 - 48x + 21
Well it could be either A or C since they are identical.
What is the period 3 pi and 4 pi
Answer:
i think i know the answer sorry if im wrong but i would say B
Step-by-step explanation:
Simplify this algebraic expression completely
8-y-2(y+4)
A. 6y+4
B.6y-8
C.6y+2
D.6y-4
the answer for your question is A :>
What is the equation of the graphed line written in
standard form?
O x=-3
O y = -3
O x + y =-3
O X-y=-3
Answer:
Option A, x = -3
Step-by-step explanation:
Step 1: Find the graphed line
x = -3
Answer: Option A, x = -3
9/37 is changed to a decimal. What digit lies in the 2005th place to the right of the decimal point?
Answer:
2
Step-by-step explanation:
Divide 9/37 and you get repeating decimal of 0.243
Divide 2005 by 3 because the decimal repeats 3 numbers
You will get reminder of 1 from dividing 2005 by 3
Move 1 place from the decimal point and you get 2
Which expressions are equivalent to 2 ( 4 f + 2 g ) Choose 3 answers
Answer:
Since there are no choices to choose from, I'll make it up.
8f + 4g
8(f + 1/2g)
4(2f + g)
Hope this helps!! Please mark as brainliest if you don't mind! Thanks ^^
- CA Geometry A Illuminate Credit 4 FF.pdf
Answer:
hii
Step-by-step explanation:
the sum of three consecutive numbers is five times the difference of the middle number and 22. find the numbers.
Answer:
The numbers you're looking for are 54, 55, and 56.
Step-by-step explanation:
x + (x + 1) + (x + 2) = 5 * (x + 1 - 22)
3x + 3 = 5x - 105
3 = 2x - 105
108 = 2x
x = 54
x + 1 = 55
x + 2 = 56
Lisa runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?
Answer:
6/50 = .12 m/min
.12 * 35 =4.2 miles
Step-by-step explanation: