Answer:
19
Step-by-step explanation:
The triangle inequality tells you the possible values of x are ...
24 -10 < x < 24 +10
14 < x < 34
There are 19 integer values of x in this range.
Pls help! I really need help! This is my question..
A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?
Answer:
density= 2 and 1/2
Step-by-step explanation:
The formula to find density is: density=[tex]\frac{mass}{volume}[/tex]
so the mass is 100, and the volume is 2x4=8x6=48, 100/48 equals 2 and 1/2
The length of a rectangular fam is 15 inches, and the width of the frame is 8 inches. What
is the length of a diagonal of this frame in inches?
Record your answer below. Just the number.
Answer: 17 inches
Step-by-step explanation:
The formula for finding the length of a diagonal in a rectangle is [tex]d=\sqrt{w^2+l^2}[/tex]
Where
d is the diagonal
w is the width (8 for this)
l is the length (15 for this)
Sub these values into the equation
[tex]d=\sqrt{w^2+l^2}\\d=\sqrt{(8)^2+(15)^2}[/tex]
Solve
[tex]d=\sqrt{(8)^2+(15)^2}\\d=\sqrt{64+225}\\d=\sqrt{289}\\d=17[/tex]
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).
Answer:
[tex](f-g)(x)=-x^{2}+2x+8[/tex]
Step-by-step explanation:
[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]
[tex]=2x+1-\left( x^{2}-7\right)[/tex]
[tex]=2x+1-x^{2}+7[/tex]
[tex]=-x^{2}+2x+8[/tex]
Pythagorean theorem. Show your work!
Please help in really stuck!!
Answer:
[tex]\sqrt{81}[/tex] = 9 :)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2 = c^2.
In this case, a = 12, c = 15, and we do not know the value of "b."
Let's solve by plugging the values in!
12^2 + b^2 = 15^2
144 + b^2 = 225
Subtract 144 on both sides:
b^2 = 81
b = sqrt 81
b = 9
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use z = 3.14 in any formulas used.
Perimeter = 52.56 inches, Area = 162.24 square inches
Perimeter = 65.12 inches, Area
162.24 square inches
Perimeter = 46.28 inches, Area = 137.12 square inches
Perimeter = 52.56 inches, Area = 137.12 square inches
answer:
d
perimeter = 52.56 inches
area = 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
The composite shape with trapezium and semicircle is given.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The total perimeter = Perimeter of trapezium + Circumference of semicircle
Perimeter of trapezium = (8+10+10+20)
= 48 inches
Circumference of semicircle =πr
Here radius=8/2
= 4 inches
Now, 3.14×4 =12.56 inches
The total perimeter = 48+12.56
= 60.56 inches
Total area= Area of trapezium + Area of semicircle
Area of trapezium =1/2 (a+b)×h
= 1/2 (20+8)×8
= 28×4
= 112 square inches
Area of semicircle =πr²/2
= (3.14×4²)/2
= 25.12
Total area= 112+25.12
= 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
#SPJ2
Does anybody know this? I really need help.
Answer:
22 is th area
Step-by-step explanation:
anyone knows the answer?!
Answer:
The third option
Step-by-step explanation:
the lowest point on function 1 is -7
the lowest point on function 2 is -9
Please help me calculate the area of all the grey parts of this shape :)
A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
Area ≈
square units
Using the Heron's formula, the area of the parallelogram is 36.7 square units.
How to use Heron's formula?Heron's Formula = √[s(s - a)(s - b)(s - c)],
where,
a, b, and c = side of the triangles = semi perimeter of the triangleArea of the parallelogram = 2(area of triangle)
Therefore,
The area of the triangle can be found using Heron's Formula
a = 5 units
b = 8 units
c = 11 units
s = 5 + 8 + 11 / 2 = 12 units
area of triangle = √[12(12-5)(12 - 8)(12 - 11)]
area of triangle = √12 × 7 × 4 × 1
area of triangle = √336
area of triangle = 18.3303027798
area of triangle= 18.33 units²
Therefore,
area of parallelogram = 2(18.33) = 36.6606055596
area of parallelogram = 36.7 unit²
learn more on Heron's formula here:https://brainly.com/question/12771530
The correct answer is 36.7 square units
Math
3/5 plus 1/2 in simplest form
3/5 + 1/2
= 6/10 + 5/10
= 11/10
= 1(1/10)
= 1.10
A group of friends count the coins they have in their pockets.
They record how many cents they each have in dimes.
Another friend counts his coins and has 2 dimes.
If 20 is added to the line plot, what effects will it have on the mean and median?
Answer:
I do not know the full answer but its not the mean dropping
Step-by-step explanation:
i said the mean dropping and I got it wrong.
Answer:
The mean will change more than the median
Step-by-step explanation:
please help me answer this
Answer:
1,080
Step-by-step explanation:
Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.
Estimate the perimeter of the figure on number 3
Answer:
13.5
Step-by-step explanation:
i just counted the whole squares and then counted the half and divided that number by 2 and added that number to the first number
9 + (9/2)
9 + 4.5
13.5
Which of the following numbers is rational?
Answer:
B is the answer
Step-by-step explanation:
A is a normal number
C is division along with D
So it is B
the maximum value of 4x - 6 is 54
Answer:
x=15
Step-by-step explanation:
1. Solve
4x-6=54
4x-6+6=54+6 <=== Add 6 to both sides
4x=60
4x÷4=60÷4 <=== divide by 4 on both sides
x=15
2. Check
4x15-6=54 <=== Replace x with 15 to check
60-6=54 <=== 4x15 equals 60
54=54 <=== 60-6 equals 54 and 54=54
so it is correct!!
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already, and step by step, NO LINKS
Answer:
Set both equations equal to 20
4x > 20
-5y> 20
solve by divideing
x >5
y> -4
PLEASE SOLVE. I NEED IT TO BE CORRECT!
Answer:-4,000/ -20
Step-by-step explanation:
hopefully this is right, so you have multiple choice and if so is this up their?
Answer:
198
Step-by-step explanation:
Each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range and determine whether the relation is a function.
Answer:
Domain: -2≤ x≤ 0
Range: -2≤ x≤ 2
The relation is a Function
Step-by-step explanation:
The Domain is all the x values.
All the x values are either equal to or greater than -2, and less than or equal to =-0
The Range is all the y values.
Apply the same logic as the domain.
A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function
Is it true that M is perpendicular to P?
Is it true that N is perpendicular to P?
need help, prettyy stuck!
yes it is true and second is false
help me, Sofia practices swimming and has every day for three weeks. the first day she trains 15 minutes and each day she trains 5 minutes more than the day before She constructs the sequence for the first week of training and determines the elements of the sequence and the type.
Answer:
20
Step-by-step explanation:
you add 15 and 5
I dont really know what to do here, ive done a which is -2 but dont know how to do b. It is not 1/2x -1.5
Answer:
a) -2
b) y = -2x + 6
Step-by-step explanation:
Question (a)
Point A = (-1, -2)
Point B = (7, 2)
[tex]\sf gradient\:of\:AB=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{2-(-2)}{7-(-1)}=\dfrac{4}{8}=\dfrac12[/tex]
If lines are perpendicular to each other, the product of their gradients will be -1.
Let g be the gradient of the perpendicular line:
[tex]\implies \sf \dfrac12 \times g=-1[/tex]
[tex]\implies \sf g=-1 \div \dfrac12=-2[/tex]
Therefore, the gradient of the line perpendicular to AB is -2
---------------------------------------------------------------------------------------------
Question (b)
[tex]\sf midpoint\:of\:line = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\sf let\:point\:A=(x_1,y_1)=(-1,-2)[/tex]
[tex]\sf let\:point\:B=(x_2,y_2)=(7,2)[/tex]
[tex]\sf \implies midpoint\:of\:line\:AB = \left(\dfrac{-1+7}{2},\dfrac{-2+2}{2}\right)=(3,0)[/tex]
We now know the gradient and a point on the perpendicular line.
So we can use the point-slope form of a linear equation:
[tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-0=-2(x-3)[/tex]
[tex]\implies \sf y=-2x+6[/tex]
Solve for X please! Include small explanation as-well
Answer:
x = 26
Step-by-step explanation:
Take the sides in proportion.
7/56 = 8/(2x - 4 + 8)1/7 = 8/(2x+4)2x + 4 = 8(7) = 562x = 52x = 26PLEASE HELP WILL GIVE 50 POINTS to the right answer
Answer:
)-( Ï Ï'M Ä ÑËWßÏË YÖÜ ÇÄÑ WËLÇÖMË MË!!!
m∠MFE = 28°
======================
Angles m∠MFE, m∠MFP, m∠PFR lies on a straight line
A straight line has total 180° angle.→ m∠MFE + m∠MFP + m∠PFR = 180°
x + 6 + 90° + 3(x) - 4° = 180°4(x) + 92° = 180°4(x) = 180° - 92°4(x) = 88°x = 22°Solve for m∠MFE
x + 622° + 6°28°The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20
Answer:
y=12
Step-by-step explanation:
y=k*x
3=5*k
k=3/5
y= (3/5)*x
y=(3/5)*20
y=12
Hi, I need help with this math question. Can you pls help me?
The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.
Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35
So, this geometric sequence is 5 ; 35 ; 245 and so on.
-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)
Answer:
7
Step-by-step explanation:
Given:
First term = 5Third term = 245Let the second term be "x".
⇒ 5, x, 245...
Thus, the following equations:
5 × (something) = xx × (something) = 245To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.
⇒ [5 × (something)] = x
⇒ [5 × (something)]/5 = x/5
⇒ (something) = x/5
⇒ x × (something) = 245
⇒ [x × (something)]/x = 245/x
⇒ (something) = 245/x
Now, let's compare both the results of (something).
⇒ x/5 = 245/x
⇒ x² = 5 x 245
⇒ x² = 1225
⇒ x = √1225 = 35
Substitute the second term into the sequence.
⇒ 5, x, 245 = 5, 35, 245
Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.
please help gotta get this gradae up
Answer:
its Y (bottom left graph)
Step-by-step explanation:
i graphed the function on desmos and matched it
PLEASE FIND WHAT EACH SQUARE IS WORTH AND THE TRAPEZOID AREA! WILL AWARD BRAINLIEST
Answer:
10.5 units squared
Step-by-step explanation:
just count the squares up or use the formula (a+b)/2 * h .
Not sure what "each square is worth means" sorry, if you clarify I can answer
one square is 2 cm swuared.
trapezoid area = 1/2h(b1+b2)
area = 1/2(6)(10+4)
area = 3*14
area =42
what is 326x2,419
show your work
Answer:
=788594
Step-by-step explanation:
326 x 2,419
=788594
A Lorry travels for 4 hours at a speed of 58km/h . Work out the travel distance
Answer: The answer is 9.00988 mi/h
Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour
write 755 minutes to the nearest hour
[tex] \huge\mathcal\green{ANSWER} [/tex]
[tex] \mathcal\red{755 \: minutes \: is \: equal \: to \: 12.58 \: hours.} [/tex]
[tex] \mathcal\blue{12.58 \: hours \: to \: the \: nearest \:hour \: is \: 13\: hours} [/tex]