[tex]17 \sqrt{2} [/tex]
One of the angle of the triangle is 90 degrees which means it is a right angled triangle. Two angles are same i.e 45 degrees which means the angle is an isosceles triangle.
so, x = 17 (isosceles triangle)
then use pythagoreas theorem:
[tex]y = \sqrt{x {}^{2} + 17 {}^{2} } [/tex]
and x = 17, so simplify and
[tex]y = \sqrt{17 {}^{2} + 17 {}^{2} } [/tex]
so
[tex]y = 17 \sqrt{2} [/tex]
Find the slope of the line that passes through the points (8,3) and (2,9)
Write the ratio 2/7 to 4 as a fraction in simplest form
Answer:
1/14
Step-by-step explanation:
2/7 to 4 means 2/7 to 4/1
2/7 * 1/4
= 2/28
You can simplify by dividing the numerator and denominator
which will give you 1/14
Hope this help :)
How many meters are equal to 3 kilometers? Use the pattern in the number of zeros of the product when munding by a power of 10 to to you
30 meters
300 meters
3000 meters
30.000 meters
What is the domain of this function?
(6, 15)
(10, 14)
(20, -11)
6, 10, 20. Domain is the x-coordinates of all values.
On Dan’s eReader 2/3 of the books are fiction. Of the fiction books, 4/5 are mysteries. What fraction of the books on Dan’s eReader are mysteries?
Answer:
8/15
Step-by-step explanation:
Of The fiction books is a key word telling us to multiply 2/3 x 4/5 because OF when using fractions means that you multiply. So to multiply you just multiply the numerators and denominators to get 2 x 4 = 8 and 3 x 5 = 15, which is 8/15.
Hope this helps!
Have a great day! :)
A runner’s resultant velocity is 8 miles per hour due west running with a wind of 3 miles per hour N 28° W. What is the runner’s speed, to the nearest mile per hour, without the effect of the wind.
Answer:
7.07 miles/hour W 22° S.
Step-by-step explanation:
Given that the resultant velocity of the runner, [tex]v_r = 8[/tex] miles/hour due west.
Wind speed, [tex]v_w= 3[/tex] miles/hour N 28° W.
Assuming that the absolute velocity of the runner, [tex]v_a= x[/tex] miles/ hour W \alpha S as shown in the figure.
By using vector addition, [tex]\vec{v_r} = \vec {v_w} + \vec {v_a}[/tex] .
Now, from the figure,
[tex]|\vec {v_r}|=|\vec {v_w} |\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow 8 = 3\sin{28°} + |\vec {v_a}| \cos \alpha \\\\\Rightarrow |\vec {v_a}| \cos \alpha =8-3\sin{28°} \cdots(i)[/tex]
And [tex]AC= |\vec {v_w} |\cos{28°} = |\vec {v_a}| \sin \alpha \\\\[/tex]
[tex]\Rightarrow |\vec {v_a}| \sin \alpha= 3\cos{28°} \cdots(ii)[/tex]
Dividing equation (ii) by equation (i), we have
[tex]\frac {|\vec {v_a}| \sin \alpha}{|\vec {v_a}| \cos \alpha}=\frac {3\cos{28°}}{8-3\sin{28°}} \\\\\Rightarrow \tan \alpha = 0.402 \\\\\Rightarrow \alpha = \tan ^{-1} (0.402)=22^{\circ} \\\\[/tex]
Putting the value of \alpha in equation (ii), we have
[tex]|\vec {v_a}| \sin {22^{\circ}}= 3\cos{28^{\circ}} \\\\\Rightarrow |\vec {v_a}| =(3\cos{28^{\circ}})/\sin {22^{\circ}} \\\\[/tex]
[tex]\Rightarrow |\vec {v_a}| = 7.07[/tex] miles/hour
Hence, the runner speed, without the effect of the wind, is 7.07 miles/hour W 22° S.
How do I solve this??? 15 points!
Answer:
[tex]\displaystyle y=\frac{7}{2}x-3[/tex]
Step-by-step explanation:
We wan to determine the equation of a line that passes through the point (2, 4) and is parallel to:
[tex]\displaystyle y=\frac{7}{2}x-5[/tex]
Since our new line is parallel to our equation, this means that the two lines have the same slope.
Therefore, the slope of our new line is also 7/2, the slope of the original.
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute 7/2 for m.
Let's let our point (2, 4) be (x₁, y₁). Hence:
[tex]\displaystyle y-4=\frac{7}{2}(x-2)[/tex]
Solve for y. Distribute:
[tex]\displaystyle y-4=\frac{7}{2}x-7[/tex]
Add 4 to both sides.Therefore, our equation is:
[tex]\displaystyle y=\frac{7}{2}x-3[/tex]
What is the circumstance of a circle with a diameter of 6 feet? Use 3.14 for n.
Answer:
C. 28.26
May I have brainliest please? :)
two less than five times a number is equal to 6
Answer:
5/8
Explanation:
6 = 5x - 2
8 = 5x
5/8 = x
The unknown number two less than five times a number is equal to 6 will be 5 / 8.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that two less than five times a number is equal to 6 is the number. The unknown number will be calculated as below:-
Let the number be x now form an expression.
6 = 5x - 2
8 = 5x
5/8 = x
Therefore, the unknown number two less than five times a number is equal to 6 will be 5 / 8.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
each problem.
In a survey, out of 12,200 college freshman.
7.540 lived on a campus. At another college
if there were only 3.500 freshman, how
many would live on campus?
Answer:
11.040
Step-by-step explanation:
To get this answer you would add 7.740 please 3.500 and get 11.040
WILL GIVE BRAINLIEST While playing a board game, Sam had to move back 6 spaces 9 times. What integer represents Sam's movement on the board for those 9 turns?
It is either 6•9 to find the spaces or 54 spaces.
Find x and y
у
60°
16
Answer:
thats hard dude why are you doing it
Step-by-step explanation:
Answer:
y=8
Step-by-step explanation:
Are these ratios equivalent?
18 pedestrians : 9 days
14 pedestrians : 7 days
Answer:
yes
Step-by-step explanation:
they both equal to 2 pedestirans: 1 day
Answer: Yes.
Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.
Joaquín compró una docena y media de factura la docena son parte de grasa dos tercios tiene dulce de leche y el resto son medialunas cuántas son de grasa Cuánto tiene dulce de leche Cuántas medialunas compró
Answer:
2 facturas de grasa.
12 facturas con dulce de leche
4 medialunas
Step-by-step explanation:
Una docena contiene 12 facturas y media docena contiene 6 facturas. Entonces Joaquin compro un total de 18 facturas (12+6). Si la novena parte (1/9) de las facturas son de grasa entonces solo multiplicamos esta fraccion por la totalidad de las facturas.
18 * (1/9) = 2 facturas de grasa.
La cantidad de facturas que tienen dulce de leche son dos tercios (2/3) de la totalidad. Entonces multiplicamos esta fracion for la totalidad.
18 * (2/3) = 12 facturas con dulce de leche
Por final, la cantidad de media lunas es el resto de las facturas, entonces descontamos las facturas de grasa y con dulce de leche de la totalidad para saber cuantas facturas son medialunas
18 - 2 - 12 = 4 medialunas
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they
solved the day's challenge assignment. What is the probability that both students are girls?
3/20
I just finished it
yes so y did u need r help?????
Plsss help me if you know????
Answer:
n/6 = 1/2
2n = 6
n = 3
Hope my answer is correct
Answer:
n = 3
Step-by-step explanation:
There's two ways, first cross multiplication:
n/6 = 1/2
Cross multiplication so 2 times n and 6 times 1
2n = 6
n = 3
Second way:
n/6 = 1/2
(n/6 = 1/2) times 6
n = 6/2
n = 3
4x+3y=17 and 6x+7y=33
Answer:
y=-4/3x-5 y=7/6x-5
Step-by-step explanation:
That should be your answer I have already learn this so that should be right
Answer:
3x - 6b
Step-by-step explanation:
Une gratification est partagée en quatre employés - le premier reçois 150euro - le seconde reçois 7/20 de la gratification -le troisieme reçois 5/28 de la gratification - le quatrième reçois le 9/35 de la gratification a) Quel est le montant de la gratification ? b) Quel est la part reçu par le premier ? c) Quel est le montant reçu par chaque employés
Explication étape par étape:
Soit la gratitude totale x
Montant reçu par le premier employé = 150 euros
Si le second reçoit 7/20 de la gratification, alors;
Deuxième reçoit = 7/20 × x
Si le troisième reçoit 5/28 de la gratification, alors
Le troisième reçoit 5/28 × x -
Si le quatrième reçoit le 9/35 de la gratification, alors;
Le quatrième reçoit 9/35 × x
Il faut ensuite calculer le pourboire total x.
Résumer tout le montant reçu
7x / 20 + 5x / 28 + 9x / 35 +150 = x
0,35x + 0,179x + 0,257x + 150 = x
0,786x + 150
x-0,786x = 150
0,214x = 150
x = 150 / 0,214
x = 700,9 euros
2) Pour obtenir le partage collecté par le premier, nous utiliserons l'expression
X × 700,9 = 150
x = 150 / 700,9
x ≈ 15/70
x≈ 3/14
D'où le premier a recueilli environ 3/14 de la gratification totale.
2) seconde collectée 0,35x
= 0,35 × 700
≈245 euros
Le troisième a recueilli 5/28 de x
Le troisième a collecté 5/28 × 700
= 3500/28
= 125 euros
Le quatrième a recueilli 9/35 de x
= 9/35 × 700
= 6300/35
≈ 180 euros
what is the equation of the line that passes through the point 3,-1 and has a slope of 2
Answer:
y=2x-7
Step-by-step explanation:
so here's my work
I just plugged stuff in so:
y+1=2(x-3)
y+1=2x-6
y=2x-7
WHATS THE SURFACE AREA? Need help ASAP!! This is urgent! Tysm will mark brainliest
The equation y = 6.85x could represent a variety of different situations .
Write a description of a situation that could be represented by this equation .
Answer:
For every x feet of rope purchased, the total cost(y) increases by $6.85.
Step-by-step explanation:
BRAINLIEST!
Which of the following math statements contain variable(s)? Check all that apply.
A. 13 - x = 9
B. 1 + 6 = 7
C. 15 - 5 = ___
D. ? + 7 = 12
Answer:
15
Step-by-step explanation:
When most American’s throw away their laundry detergent bottle it has about 1/2 of an ounce of detergent left in it. Dexter’s equation, y= -1.6x+50, and Mya’s equation, y = 50(.75)x. represent how much detergent is left in their bottles after x washes. Who will throw away their laundry detergent bottle first?
Answer:
Mya’s equation
Step-by-step explanation:
Given that:
Detergent left in bottle after a certain number of washes x
Dexter’s equation,
y= -1.6x+50
Mya’s equation,
y = 50(.75)x
y = Detergent left in bottle.
Given that amount of Detergent left is about 1/2 ounces = y
For Dexter’s equation,
y= -1.6x+50
0.5 = 1.6x + 50
0.5 - 50 = 1.6x
-45.5 = 1.6x
x = 28.4375
For Mya’s equation :
y = 50(0.75)x
0.5 = 37.5x
0.5 / 37.5 = x
0.0133333 = x
Hence, Mya’s equation
5x – 10 = 0 please answer!!!!
Answer:
add 10 which gives yoy 5x=10 divode by 5 that givdz u 2
Answer:
x = 2
Step-by-step explanation:
Can someone help me with this Algebra question?
Answer:
y^6
Step-by-step explanation:
Answer:
the answer would be y^6
Alvin is taking a bus on a ski trip. The bus travel to 174 miles The bus travel to 174 miles In the first three hours of the trip. If the ski resort is 696 miles from his home which proportion could Alvin use to predict how many hours the bus trips up to the ski resort
Answer: 12 hours
Step-by-step explanation:
We can use direct proportion to solve this, we need to calculate the constant of proportionality first. This will be:
y = kx
where y = 174
x = 3
k = 174/3
k = 58 miles per hour
If the ski resort is 696 miles from his home, the number of hours used will be:
= 696/58
= 12 hours
HELP IT'S DUE IN 18 MINUTES!
Answer:
Please check the explanation!
Step-by-step explanation:
As the discrimination expression is
[tex]b^2-4ac[/tex]
if
[tex]b^2-4ac\:<0[/tex]
then the equation has no real solution.
Given the equation
[tex]mx^2+3x+1-m=0[/tex]
by comparing the quadratic equation
[tex]\:ax^2+bx+c=0[/tex]
[tex]mx^2+3x+1-m=0[/tex]
we can observe that
[tex]a=m[/tex]
[tex]b=3[/tex]
[tex]c=(1-m)[/tex]
substituting the values in discrimination to find the values of m
so
[tex]3^2-4m\left(1-m\right)=0[/tex]
[tex]9-4m+4m^2=0[/tex]
[tex]4m^2-4m+9=0[/tex]
[tex]\frac{-4m+4m^2}{4}=\frac{-9}{4}[/tex]
[tex]-m+m^2=-\frac{9}{4}[/tex]
[tex]\left(m-\frac{1}{2}\right)^2=-2[/tex]
as
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
so solving
[tex]m-\frac{1}{2}=\sqrt{-2}[/tex]
[tex]m-\frac{1}{2}=\sqrt{-1}\sqrt{2}[/tex]
[tex]m-\frac{1}{2}=\sqrt{2}i[/tex] ∵ [tex]\sqrt{-1}=i[/tex]
[tex]m=\sqrt{2}i+\frac{1}{2}[/tex]
and also solving
[tex]m-\frac{1}{2}=-\sqrt{-2}[/tex]
[tex]m-\frac{1}{2}=-\sqrt{2}i[/tex]
[tex]m=-\sqrt{2}i+\frac{1}{2}[/tex]
As we know that
if
[tex]b^2-4ac\:<0[/tex]
then the equation has no real solution.
Therefore, for the values of [tex]m=\sqrt{2}i+\frac{1}{2},\:m=-\sqrt{2}i+\frac{1}{2}[/tex], for which the equation [tex]mx^2+3x+1-m=0[/tex] will have no solution.
Error Analysis Jessie incorrectly said the rate 1/4 pound 1/8 gallon can be written as the unit rate 1/32 pound per gallon what is the correct unit rate? What was Jessie's likely error?
Answer:
Step-by-step explanation:
Given that 1/4 pounds = 1/8 gallons
We are to find the unit rate per gallon, hence we will say;
x pounds = 1 gallon
Equate both expression
1/4 pounds = 1/8 gallons
x pounds = 1 gallons
Cross multiply
1/8 * x = 1/4
divide both sides by 1/8
(1/8x)/(1/8) = (1/4)/(1/8)
x = 1/4 * 8/1
x = 1/4 * 8
x = 2 pounds
Hence the unit rate per gallon is 2 pounds per gallon
Her error was that he multiplied both values together to arrive at 1/32 instead of dividing as shown in the
Simplify the following expression: c + c
Answer:
it can be simplify by c²
Answer:
2c
Step-by-step explanation:
Review the properties of exponents. In complete sentences, explain the process necessary to simplify the exponential expression. Complete your work in the space provided. Include your explanation, the mathematical steps, and the final, simplified expression.
Answer:
[tex]=\frac{2a^4}{3bd}[/tex]
Step-by-step explanation:
Given expression is,
[tex]\frac{2ab^{-1}}{3a^{-3}d}[/tex]
Further simplify the expression by converting the negative exponents into positive.
[tex]b_1=\frac{1}{b}[/tex]
[tex]a^{-3}=\frac{1}{a^3}[/tex]
By substituting these terms in the given expression,
[tex]\frac{2ab^{-1}}{3a^{-3}d}=\frac{2a(\frac{1}{b})}{3(\frac{1}{a})^3d}[/tex]
[tex]=\frac{\frac{2a}{b}}{\frac{3d}{a^3} }[/tex]
[tex]=\frac{2a}{b}\times \frac{a^3}{3d}[/tex]
[tex]=\frac{2a^4}{3bd}[/tex]