[tex](\stackrel{a}{7}~~,~~\stackrel{b}{7})\qquad \impliedby \textit{let's find its \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{7^2+7^2}\implies c=\sqrt{7^2(1+1)}\implies c=\sqrt{7^2(2)}\implies c=7\sqrt{2} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{7\sqrt{2}}}{\underset{opposite}{7}}\implies csc(\theta )=\sqrt{2}[/tex]
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
14/10 or 1 2/5
Step-by-step explanation:
Hey there!
In order to simplify this expression, we need to add the numerators and not the denominator since they are the same
14/10 is what you will get or this is also 1 2/5
Answer:
A.
[tex]1 \frac{2}{5} [/tex]
Explanation:
6/10 + 8/ 10 = 7/5
[tex] \frac{6}{10} + \frac{8}{10} = \frac{6 + 8}{10} = \frac{14}{10} = \frac{7}{5} = 1 \frac{2}{5} [/tex]
hope this helps.
A designer is adding a pendant to a jewelry collection. the shape of the pendent can be defined by the equation y = startfraction 1 over 20 endfraction x squared endfraction. if the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1.25 cm 2.50 cm 5 cm 10 cm
If the largest dimension of the pendant is 10 cm wide then the greatest length will be 5 cm. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
A designer is adding a pendant to a jewelry collection.
The shape of the pendant can be defined by the equation
[tex]\rm y = \dfrac{1}{20}\ x^2[/tex]
If the largest dimension of the pendant is 10 cm wide then the greatest length will be
[tex]\rm y = \dfrac{1}{20}\ (10)^2\\\\\\\rm y = \dfrac{1}{20}\ 100\\\\\\\rm y = 5[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
Answer:
1.25 cm
Step-by-step explanation:
Estimate the value of 101.4^0.5 +6.43^0 x 7.99^(2/3)
I’m not really sure of the answer, if you know, please tell me.
Answer:
14
Step-by-step explanation:
101.4^0.5 = 10.0697 etc
it says estimate so I'm going to round that to 10
6.43^0 Anything with an exponent of 0 = 1
7.99^(2/3) = 3.9966 etc you can round that to 4
Put in the values:
10 + 1 × 4
Use PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
We have to multiply 1 × 4 which is 4
We're left with 10 + 4 which is 14
Answer:
14
Step-by-step explanation:
[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]
[tex]\sf a^{0.5}=\sqrt{a}[/tex] so round 101.4 to 100 as the square root of 100 is easy to calculate mentally [tex]\sf a^0=1[/tex] so [tex]\sf 6.43^0=1[/tex]7.99 ≈ 8[tex]\sf a^{\frac23}=(a^{\frac13})^2[/tex][tex]\sf8^{\frac13}[/tex] = the number that you cube to get 8[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]
3 and 3/4 - 2 and 1/5
Answer:
[tex]3 \frac{3}{4} - 2 \frac{1}{5} \\ \\ \frac{15}{4 } - \frac{11}{5} \\ \\ \frac{75}{20} - \frac{44}{20} \\ \\ = \frac{31}{20} = 1.55 = 1 \frac{11}{20} [/tex]
On a piece of paper, graph f(x) = (3x if x< 3) (f(x) = 2x if x > 3) Then determine which answer
choice matches the graph you drew.
[tex]if\ \alpha < 3[/tex]
[tex]f(\alpha )=3\alpha[/tex]
[tex]if\ x\ \geqslant 3[/tex]
[tex]f(x)=2x[/tex]
[tex]Sin\ you\ get\ the[/tex]
[tex]yoiclure\ on\ the[/tex]
[tex]right.[/tex]
I hope this helps you
:)
The choice that matches the graph of the function as is defined to us is: Graph A.
What is a function?A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).
We are given a function f(x) as:
f(x)= 2x if x < 3 and 4 if x ≥ 3
This means that in the region (-∞,3) the graph of a function is a straight line that passes through the origin and has a open circle at x=3. and in the region [3,∞) the graph is a straight horizontal line i.e. y=4.
Hence, the graph of this function is: Graph A.
Learn more about functions, click;
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#SPJ7
pls helpppp i dont understand at all !!
Answer:
increasing
increasing
decreasing
increasing
decreasing
neither
Step-by-step explanation:
"increasing" just means the graph is going up from left to right.
"decreasing" means going down from left to right.
"neither increasing nor decreasing" means flat, horizontal, not going up or down.
Imagine you are walking on the x-axis, starting on the left, the numbers on the axis are like house addresses as you walk down the street. The column that says "interval" is saying where you are looking at along the axis.
-7 < x < -3 means from -7 to -3 on the x-axis. That piece of the curve IS going up from left to right. From -3 to -1 is also going up, so its increasing. From -1 to 1 the graph goes down, that's decreasing. Then it goes up again, then down, then flat. (incr, decr, neither)
Any slanted line or curve can be seen as going up or going down, depending on which direction you are going. But in this case only consider left to right ONLY. Then you can tell if its increasing or decreasing.
mair of angles is classified in the same category according to the angle measure?
h
Factor the polynomials completely, then solve. 4^2- 81 = 0
Answer:
[tex]x=\pm\frac{9}{2}[/tex]
Step-by-step explanation:
I assume you mean [tex]4x^2-81=0[/tex]:
[tex]4x^2-81=0\\(2x-9)(2x+9)=0\\x=\frac{9}{2},\:x=-\frac{9}{2}\\x=\pm\frac{9}{2}[/tex]
We were able to work quickly here since the original left-side expression was a difference of squares.
Answer:
Step-by-step explanation:
4x^2 - 81 = 0
(2x - 9)(2x + 9) = 0
x = -9/2, 9/2
7.3 reteaching with practice 415-420
Answer:
Eu não entendi, porque se for pergunta de matemática, 415-420 dá um numero negativo que seria -5
Step-by-step explanation:
pense em 420 e tire 415 , simples
Answer:
He is right
Step-by-step explanation:
HELP PLEASE!
15 POINTS
Answer:
Its 58
Step-by-step explanation:
2+2+2+2+2+4+4+4+6+10+10=58 but the closest number to it is 56
Why would neighborhoods with more station wagons tend to have more
playgrounds?
A. Adoring crowds of children like to follow station wagons to the
nearest playground.
B. Playground equipment dealers tend to buy station wagons and
then have kids to fill them.
C. Families with children tend to own station wagons and move to
neighborhoods with playgrounds.
D. Playgrounds are made from former used car lots (which used to
sell station wagons).
O E. Station wagon owners like to build playgrounds.
Answer:
C
Step-by-step explanation:
Based on my knowledge, thast what i think it is, but im not sure
Which of the following expressions is equal to =
Answer:
4th option
Step-by-step explanation:
Remember the Quotient Rule:
[tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex]
6-2 = 4
So it is the last option
There are 4 consecutive integers that have a sum of 54. What is the greatest of the 4 integers?
Answer:
x + x-1 + x-2 + x-3 =54.
x-1
Answer:
15
Step-by-step explanation:
Let the consecutive numbers be x, x + 1, x + 2, x + 3
==========
x + x + 1 + x + 2 + x + 3 = 544(x) + 6 = 544(x) = 54 - 64(x) = 48x = 12Greatest of the 4 integers:
x + 312 + 315tan x * csc x = sec x
Answer:
see explanation
Step-by-step explanation:
using the identities
tanx = [tex]\frac{sinx}{cosx}[/tex] , cscx = [tex]\frac{1}{sinx}[/tex] , secx = [tex]\frac{1}{cosx}[/tex]
consider left side
tanx × cscx
= [tex]\frac{sinx}{cosx}[/tex] × [tex]\frac{1}{sinx}[/tex] ( cancel sinx on numerator/ denominator )
= [tex]\frac{1}{cosx}[/tex] × 1
= secx = right side
Morgan’s math scores were 82, 85, 89, 94 and 100. What was the mean of her scores?
Answer: 90
Step-by-step explanation:
add all numbers up:
82+85+89+94+100=450
divide by amount of numbers
450/5=90
Janice heard the final school bell, and 39 seconds later she was running at 2.4 meters per second toward her dad’s car. At this velocity, how long did it take Janice to run 180 meters?
Answer:
75 seconds to run 180 meters
Step-by-step explanation:
(180m) / (2.4m/s) = 75 seconds
75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.
The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.
What is the area of this figure?
Answer:
through lengthy mafs, your answer should be 307 mi (wrong somehow)
Step-by-step explanation:
if you want an explanation, please, dont be afraid to comment ;)
(to other people who look this up the answer is actually 318 i dont know, but i got it wrong
i don’t understand this question
Answer:
3/2
Step-by-step explanation:
To find the slope, choose two points.
For example, choose (2, 5) and (4, 8).
Now find the difference between the y-coordinates.
8 - 5 = 3
Find the difference between the x-coordinates.
4 - 2 = 2
Divide the difference in y by the difference in x. That is the slope.
slope = 3/2
Amy fills an ice cream cone to the top edge. The diameter of the ice cream cone is 2 inches and its height is 6 inches. Don fills a bowl (V = 5 cubic inches) with ice cream. Amy has how much more ice cream than Don?
Answer:
1.28 in³
Step-by-step explanation:
Volume of Amy's cone
Cone = 1/3πr²hCone = 1/3 x 3.14 x 1² x 6Cone = 2 x 3.14 = 6.28 in³Volume of Don's bowl
It's given to be 5 in³Difference
Amy's cone - Don's bowl6.28 - 51.28 in³Answer:
So obviously in the context of this question you are meant to find the volume. Since Don's bowl already has a given value of 5 cubic inches we will use that same unit when calculating amy's ice cream cone volume.
Step-by-step explanation:
You are given that amy has a cone and need to find the volume. The formula for the volume of a cone is (V=πr^2*h/3).
π = pi or 3.14......
r = radius (in this case the opening/ diameter of the ice cream cone is given as 2 inches and the radius is half of diameter so d/2 = r (r=1)
h = height (in this case it is given that height is 6 inches)
Remember all variable units must be kept the same so in this case all units are inches.
Now Plug in and solve V = [tex]3.14*(1)^{2} *\frac{(6)}{3}[/tex]
Remember order of operations / PEMDAS (in this case, do exponent first then just multiply from left to right and at the end divide that number by 3.
V= 6.28 cubic inches (since all our units were inches and we are finding cubic volume of a cone)
Now Amy volume of cone - Don volume of bowl = your answer. 6.28-5 = 1.28 cubic inches
I need help with my math homework
VW = 6
hope it helps...!!!
help pleaseee omggggggggg
Answer:
Only iris is correct in equation sq. z = 9/25
marc had 6n marbles. he gave 9 marbles to each of his cousins and had 4n marbles left. find how many cousins marc had in terms of n.
Answer:
9c=2n
Step-by-step explanation:
6n-9c=4n.
9c=2n
n = 9/2c, my bad for the wrong answer at first.
Answer the question below.
Answer:
Class B has much better scores than class A
Step-by-step explanation:
Suppose a line, with a slope of -3 and a y-intercept of 4, is translated -4 units along the x-axis and 6 units along the y-axis. What is the equation of this new line?
pls hurry
Find equation of old line first
m=-3b=4Equation in slope intercept form
y=-3x+4Translated 4units left(x+4)
Translated 6 units up(y intercept +6)
Put it.
y=-3(x+4)+6+4y=-3x-12+10y=-3x-2Answer:
y = -3x -2
Step-by-step explanation:
The equation of the given line, with slope -3 and y-intercept 4, can be written in slope-intercept form as ...
y = -3x +4
When the line is translated by (h, k), it can be written as ...
(y -k) = -3(x -h) +4
__
Here, we want to translate the line -4 in the x-direction and 6 in the y-direction. That is, (h, k) = (-4, 6). Using these values in the above equation, we have ...
y -6 = -3(x -(-4)) +4
y = -3x -12 +4 +6 . . . . simplify, add 6
y = -3x -2
__
The attached graph shows the original line (red) with its y-intercept, and the translated line (green) with that y-intercept moved 4 units left and 6 units up.
There are only blue cubes, red cubes and yellow cubes in a box.
The table shows the probability of taking at random a blue cube from the box.
Colour
blue
red
yellow
Probability
0.4
The number of red cubes in the box is the same as the number
of yellow cubes in the box.
a) Complete the table.
(2)
There are 30 blue cubes in the box.
b) What is the total number of cubes in the box?
Answer:
a) 240 grams
b) 360 grams
c) 2 packs
Step-by-step explanation:
a) 1 biscuit = 4 grams of flour
60 biscuits = 240 grams of flour
Conclusion, 240 grams of flour is needed for 60 biscuits.
b) 240×3÷2 = 360 grams of butter
c) 360÷250
= 1.44
≈ 2 packs
Hope this helps =)
1. What is the of the combined rectangles below?
Answer:
please where's the diagram
10) Write the equation of the line passing through the points (-1, 2) and (3, 4)
A) y = 2x - 2
B) y - 2x - 10
9-x
D) y x -
Step-by-step explanation:
(-1,2) = x1 , y1(3,4) = x2 , y2Using two points formula equation AB is :( y - y1 ) = y2 - y1 / x2 - x1 ( x - x1 )( y - 2 ) = 4 - 2 / 3 - ( -1 ) ( x - ( -1 ) y - 2 = 4 - 2 / 3 + 1 ( x + 1 )y - 2 = 2 / 4 ( x + 1 ) y - 2 = 1 / 2 ( x + 1 )y - 2 = ( x + 1 ) / 2 2( y- 2 )= ( x +1 ) 2y - 4 = x + 1 - 4 - 1 = x - 2y-5 = x - 2yx - 2y +5 = 0 , which is the required equation..Which expression is NOT equivalent to 100 + 20?
O10(10 + 2)
2(50 + 10)
Submit Answer
04(96 + 5)
5(20 + 4)
What is the gradient of the blue line
Answer:
4
Step-by-step explanation:
gradient = diffrence in y / diffrence in x
= 4-0/5-4
4
3. Two ocean beaches are being rected by crosionThe table shows the winteet of each beach measured at high tide where 1905 is represented by year
Year number
Western Beach width (info
Dunes Beach width (in feet)
100
20
25
5
90
70
10
80
13
75
12
76
30
15
70
95
A Describe the patterns shown by the crosion data measurements shown for each of the beaches in the table
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant what can you do to get a becer approximation of when the two beaches will have the same wich?
Answer:
Answer given in the image below
I hope my answers helps you.