Let the third side be x
using Pythagoras theoram
x²+4²=7²
x²= 49-16
x²= 33
x=√33
Solve the inequality.
x – 7 > –3.1
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{x - 7}>\large\textsf{-3.1}[/tex]
[tex]\large\text{ADD 7 to BOTH SIDES of the equation}[/tex]
[tex]\large\textsf{x - 7 + 7}>\large\textsf{-3.1 + 7}[/tex]
[tex]\large\text{CANCEL out: -7 + 7 because that gives you the value of 0 and}\\\large\text{NOT the number that is being compared to your x-value}[/tex]
[tex]\large\text{KEEP: -3.1 + 7 because this side of the equation helps you find}\\\large\text{the number or value that is being compared to the x-value }[/tex]
[tex]\large\textsf{-3.7 + 7 = \boxed{\bf 3.7}}[/tex]
[tex]\large\text{So, the number \underline{3.9} is being compared to your x-value}[/tex]
[tex]\bullet \large\text{\bf Your circle is O-P-E-N and it's shaded to RIGHT SIDE on}\\\large\text{\bf a number line }\huge\checkmark\\\\\\\large\textsf{Random fact about your equation}\uparrow[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf x }> \large\textsf{\bf 3.9}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
___ is the branch of mathematics that uses alphabetic symbols to represent unknown numbers or specific sets of numbers in order to make generalizations about arithmetic operations and mathematical relationships.
Answer:
I believe it's Algebra because it contains variables and equations where you have to do what you just described in your question.
Hope I helped, have a nice day :)
See image for question.
Answer:
#7(a)
Sample space:
1*1, 1*2, 1*3, 1*4,2*1, 2*2, 2*3, 2*4,3*1, 3*2, 3*3, 3*4,4*1, 4*2, 4*3, 4*4Total 16 outcomes
(b)
(i) P(even) = 12/16 = 3/4(ii) P(3x) = 7/16(iii) P(perfect square) = 4/16 = 1/4#8(a) Sample space:
1T, 1H, 2T, 2H, 3T, 3H, 4T, 4HTotal 8 outcomes
(b)
(i) 1T, 3T
P(T and odd) = 2/8 = 1/4(ii) 1H, 4H
P(H and square) = 2/8 = 1/4(iii) 1H, 2H, 3H, 4H
P(H) = 4/8 = 1/2Triangles ABC and XYZ are similar figures, because angles A, B, and C are congruent to angles X, Y, and Z, respectively.
If side AC equals 3 cm, BC equals 9 cm, and XZ equals 15 cm, what is the length of side YZ?
Answer:
45cm
Step-by-step explanation:
Since they are simliar, they are proportional.
SO, you can do AC/XZ = BC/YZ
You can also see that XZ is 5 times larger than AC
SO multiply BC by 5.
Answer this for me please! thanks very much <3
the answer is b lil boy ggggggg
please help. the packet is due tonight
Answer:
[C] [tex]\displaystyle \frac{-3}{250}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringFunctionsFunction NotationConjugationsCalculus
LimitsLimit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]Limit Property [Multiplied Constant]: [tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]DerivativesDefinition of a Derivative: [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]
[tex]\displaystyle f(x) = \frac{3}{\sqrt{x - 4}}[/tex]
[tex]\displaystyle g(29)[/tex]
Step 2: Differentiate
Substitute in function [Function g(x)]: [tex]\displaystyle g(x) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{x + h - 4}} - \frac{3}{\sqrt{x - 4}}}{h}[/tex]Substitute in x [Function g(x)]: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{29 + h - 4}} - \frac{3}{\sqrt{29 - 4}}}{h}[/tex]Simplify: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3}{\sqrt{25 + h}} - \frac{3}{5}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15}{5\sqrt{25 + h}} - \frac{3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex][Subtraction] Combine like terms: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{15 - 3\sqrt{25 + h}}{5\sqrt{25 + h}}}{h}[/tex]Factor: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{\frac{3(5 - \sqrt{25 + h})}{5\sqrt{25 + h}}}{h}[/tex]Rewrite: [tex]\displaystyle g(29) = \lim_{h \to 0} \frac{3(5 - \sqrt{25 + h})}{5h\sqrt{25 + h}}[/tex]Rewrite [Limit Property - Multiplied Constant]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}}[/tex]Root Conjugation: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{5 - \sqrt{25 + h}}{h\sqrt{25 + h}} \cdot \frac{5 + \sqrt{25 + h}}{5 + \sqrt{25 + h}}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{5h\sqrt{25 + h} + h^2 + 25h}[/tex]Factor: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-h}{h(5\sqrt{25 + h} + h + 25)}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + h} + h + 25}[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle g(29) = \frac{3}{5} \lim_{h \to 0} \frac{-1}{5\sqrt{25 + 0} + 0 + 25}[/tex]Simplify: [tex]\displaystyle g(29) = \frac{3}{5} \cdot \frac{-1}{50}[/tex]Multiply: [tex]\displaystyle g(29) = \frac{-3}{250}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Which graph best represents a
quadratic function that has
only one zero?
A
с
B
Answer:
c
Step-by-step explanation:
right
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
You just hung a picture twelve inches above the wall trim. Your friend thinks the
picture looks crooked. Use what you know about parallel lines and transversals to
determine if the picture is level.
Step 1: You don't have a level, but you are in luck. You know the wall trim is level.
You have a protractor and the sun is casting a shadow on the wall. Describe how
you can determine if the picture is level.
: Assume you measured ∠3 and ∠5 and found them to be equal. Use the
spaces provided below to complete a formal proof that demonstrates the picture
is level with the trim.
Answer:
The angles measured between the shadow and the wall trim and the shadow and the top or bottom of the picture should be equal if the picture is level
Step-by-step explanation:
Whereby the picture is 12 inches above the wall trim and the Sun is casting a shadow on the wall, therefore, the edges of the shadow of a straight edged object is straight
If the picture is level, the shadow cast by the sun is transversal to the wall trim and the line formed by extending the bottom or top of the picture in the direction of the shadow. That is, if the picture is parallel, the shadow cast by the Sun on the wall is transversal to the picture and the wall trim if or when the shadow eventually crosses the picture
With the protractor, the angle between the shadow and the wall trim and the shadow and the top or bottom is measured
The angles measured should be the same if the picture is level.
I hope this is correct. If not feel free to let me know and I will fix it. I'm sorry in advance if it is wrong.
F(x) = -x² + 7x - 12
One factor of this is (x - 4). Find the other factor.
Answer:
(3-x) is the other factor.
Step-by-step explanation:
The given function is :
[tex]F(x)=-x^{2}+7x-12[/tex]
One of the factor is (x-4)
We need to find the other factor.
It can be solved as follows :
[tex]F(x)=-x^{2}+4x+3x-12\\\\=(-x+3)(x-4)[/tex]
So, the other factor is (3-x).
Using the table from part I and your knowledge of exponents, write an equation that describes the doubling of the rabbit population every 6 months.
Answer:
Let P be thd population of rabbit
P = 2 to the power of n
where n is the period of month
Write the equation of the circle:
center: (-9, 0), diameter: 10
Answer:
[tex](x+9)^2+y^{2}=25[/tex]
Step-by-step explanation:
The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.
Given the circle's diameter is [tex]d=10[/tex], then its radius is [tex]r=\frac{10}{2}=5[/tex].
Therefore, the equation of the circle is [tex](x+9)^2+y^{2}=25[/tex]
High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.
A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.
In which region is competition for resources most likely the greatest?
Region A
Region B
Region C
Region D
Answer:
C
Step-by-step explanation:
magic
The region with the competition for resources is region C with the highest population density
What is Population Density?The population density, or the number of people divided by the area's size, is determined by the number of people who reside there. Numerous creatures' distribution, growth, and migration can all be explained by population density.
Population density = number of people / the area they occupy
Given data ,
Let the population density be represented as P
Region Population Area
A 1,312 212
B 630 314
C 16,400 625
D 17,800 902
Now , the state with the highest population density will have the greater competition for the resources
So , The population density in Region A = 1312 / 212 = 6.19
The population density in Region B = 630 / 314 = 2
The population density in Region C = 16400 / 625 = 26.24
The population density in Region D = 17800 / 902 = 19.7
Hence , the region C has the highest population density
To learn more about population density click :
https://brainly.com/question/16894337
#SPJ7
the integers -10 and 10 are
3. If 2x +9 32, then x could be
11.5?
Answer:
Yes
Step-by-step explanation:
We can see step by step how to solve for x, and get 11.5:
2x+9=32
Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:
2x+9-9=32-9
=
2x=23
In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.
When I mean 1, I mean you want 1x, or just x.
Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:
2x/2=23/2
=
x=11.5
So x equals 11.5, and you were correct.
Hope this helps!
Helppppppp meeeeeeee
Answer:
32
Step-by-step explanation:
In order to find the measure of angle A we must first find x
If you didn't know, supplementary angles add up to equal 180
Hence, 2x - 16 + 5x + 28 = 180
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation that we created
2x - 16 + 5x + 28 = 180
Combine like terms
7x + 12 = 180
Subtract 12 from both sides
7x = 168
Divide both sides by 7
We're left with x = 24
Now to find Angle a
To find Angle A we simply substitute 24 for x in 2x - 16
* Substitute 24 for x *
2(24) - 16
Multiply
48 - 16
subtract
/_ A = 32
Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.
Answer:
geometric
arithmetic
Step-by-step explanation:
there are no statements to check. you did not copy them in.
but I can solve the first part of the question.
sequence 1 :
-10, 20, -40, 80, -160, 320, -640, ...
I extended the sequence by a few more terms.
but it is clear that each new term is the previous term multiplied by -2.
since the sequence is built by multiplication, it is geometric.
sequence 2:
15, -5, -25, -45, -65, -85, ...
so, it is clear that each new term is the previous term subtracted by -20.
since the sequence is built by adding or subtracting, it is arithmetic.
joseph cao bao nhiêu, nếu anh ấy cao 72 inch? Nếu anh ta là bao nhiêu feet, thì anh ta là bao nhiêu thước? nếu anh ta là bao nhiêu thước, anh ta là bao nhiêu cm?
Answer:
im not sure
Step-by-step explanation:
Answer:
joseph là 6 feet hoặc 2 thước Anh hoặc 182 cm.
Given the table below, determine the initial value/y intercept. PIC IS ABOVE! ANSWER!
Answer:
The initial value is the y value when x is zero. Look at the table to help you determine the y value when x is zero and that is your answer.
Step-by-step explanation:
2. A bag contains 5 red marbles, 3 blue marbles, 6 white marbles, and 2 green marbles.
A. You choose one marble at random. Find the probability that you will choose a
white marble.
B. You choose one marble at random. Find the probability that you do not choose a red
marble.
I
C. You choose one marble at random, put the marble aside, then choose a second
marble at random. What is the probability that both marbles are blue?
D. You choose one marble at random, put the marble back in the bag, then choose a
second marble at random. What is the probability that you choose a red marble
and then a green marble?
Answer:
Step-by-step explanation:
5 red
3 blue
6 white
2 green
total 16 marbles.
Note: P(E) = probability of event E happening
P(~E) = probability of event E NOT happening.
We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.
A. choose one marble at random.
P(W) = 6 white / 16 total = 3/8
B. choose one marble at random.
P(~R) = (16-5)/16 = 11/16
C. choose one marble at random, then a second one without replacement,
there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.
P(BB) = (3/16)*(2/15) = 1 / 40
D. choose two with replacement
5 red out of 16 for first draw, still 5 red out of 16 for second draw.
P(RR) = (5/16)^2 = 25/256
Find the volume of this cone.
Use 3 for pi
Answer:
81 cm^3
Step-by-step explanation:
We know that we have to use 3 for pi.
Formula given for formula of cone is:
πr^2h ÷3
Use formula with the given pi and dimensions:
3(3^2)(9) ÷ 3
= 3(9)(9) ÷ 3
= 243 ÷ 3
= 81
Volume is measured in cubic centimeters.
FINAL ANSWER:
81 cm^3
Hope this helps!
How many teams haven't won a super bowl
A. 2
B. 12
C. None
D. 3
Answer:
B. 12
12 teams have never won a Super Bowl :))))
what is the midpoint of this point (-4,2) and (8,0)?
Answer:
Mid - point = ( 2 , 1 )
Step-by-step explanation:
Let A = ( - 4 , 2 ) and B = ( 8 , 0 )
Let P = ( x , y ) be the mid-point of AB
Then,
[tex]P = (\frac{x_A + x_B}{2} , \frac{y_A + y_B}{2} ) \\\\P =(\frac{-4+8}{2} , \frac{2+0}{2}) \\\\P = ( \frac{4}{2} , \frac{2}{2} )\\\\P = ( 2 , 1)[/tex]
Answer:
(2,1)
Step-by-step explanation:
Hi there!
Midpoint: [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex] where two endpoints of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-4,2) and (8,0)
[tex](\frac{-4+8}{2} , \frac{2+0}{2} )\\(\frac{4}{2} , \frac{2}{2} )\\(2, 1)[/tex]
Therefore, the midpoint of the line segment is (2,1).
I hope this helps!
calcula la longitud de la variable "x"
Answer:
x=20
Step-by-step explanation:
30°-60°-90°Δ
a=10
b=20
c=10[tex]\sqrt{3}[/tex]
x=b
x=20
Now that you know the height of the cone how can you solve for the slant height?
Answer:
imagine a triangle
one side is just upwards trough the cone, one side is the radius of the circle and the last one is the slant height.
remember the pythagoras stuff
so
(slantheight)² = radius² + height²
or finally:
slantheight = squareroot (radius² + height²)
Sandy went to her local zoo where 50% of it's exhibits featured reptiles. If the zoo features 44 exhibits in total, then how many of the zoo's exhibits feature reptiles?
Answer:
22 exhibits
Step-by-step explanation:
We are told from the above question that:
Sandy went to her local zoo where 50% of it's exhibits featured reptiles.
If the zoo features 44 exhibits in total, then the number of the zoo's exhibits that feature reptiles is calculated as:
50% of 44
50/100 × 44
= 50 × 44/100
= 22
Therefore, the number of the zoo's exhibits that feature reptiles is 22 exhibits.
If x = -5 and y = 2x^2,
then y = ?
Answer:
y = 50
Step-by-step explanation:
y = 2x^2
Let x= -5
y = 2(-5)^2
Power first
y = 2(25)
Then multiply
= 50
Johns family consume 50dl of milk every day/How many litres of milk did they consume on february 2020
Answer:
1450dl
Step-by-step explanation:
29 days X 50dl = 1450dl
Simplify. pls pls help
-2 √35
-24 √35
24 √35
Hi, please help me with this math problem.
9514 1404 393
Answer:
-x +2
Step-by-step explanation:
The expression can be simplified as follows.
[tex]\sqrt{x^2-4x+4}=\sqrt{(x-2)^2}=|x-2|[/tex]
For negative values of its argument, the absolute value changes the sign.
For x < 1, x-2 is negative, so the simplified form is ...
-(x -2) . . . . . for x < 1
-x +2 . . . . . for x < 1