In a right angle triangle , the two shorter sides are 6cm and 8cm in length . What is the length of the longest side

Answer:

f(x) = -3x

Step-by-step explanation:

f(x) = -3x

Answer:

D

Step-by-step explanation:

there is zero chance of it happening

Answer:

2 whole pieces

5/24 feet left

Step-by-step explanation:

divide 5/6 by 5/16 = 2 2/3 pieces

so there are 2 whole pieces and 2/3 small piece.

The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft

Answer:

B. 23,5

Step-by-step explanation:

Answer:

Para el CO₂ sabemos que:

densidad = 0,001976 g/cm³

Sabemos que:

densidad = masa/volumen

Entonces, si tenemos una masa de 28 g, podemos escribir:

volumen = masa/densidad

volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3

Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.

Carbono: tiene una masa molar de 12 g/mol

Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)

entonces la masa molar va a ser:

masa molar = 12g/mol + 2*16g/mol = 44 g/mol

Es decir, un mol de CO₂, pesa 44 gramos.

Answer:

Step-by-step explanation:

This is a distance = rate times time problem where you are calling the rate "speed" instead. So our formula for distance then is distance = speed times time which is

d = st

The distance traveled in 126 miles and the time it took to do this was 3 hours. Filling in those values gives us

126 = s3 or

126 = 3s since multiplication is commutative. Solve for s by dividing both sides by 3 to get

s = 126/3 which is

s = 42 miles per hour

Answer: y = 6x

Step-by-step explanation:

Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:

y = kx

Since y = 30 and x= 5,

30 = 5 × k

30 = 5k

k = 30/5

k = 6

Therefore, the equation that connects y to x will be:

y = kx

y = 6x

The equation that connects y to x is y = 6x.

Answer:

(y ^2 ) (x ^2)

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

Given polynomial :-

=> 2x - 4x³ -7 + 6x²

Here the highest degree of variable is 3 ,

Therefore it is a cubic polynomial .

Answer:

[tex]x\le \:-1[/tex]

Step-by-step explanation:

[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]

[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]

[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]

[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]

[tex]5x\le \:-5[/tex]

[tex]x\le \:-1[/tex]

x = -1

3(-2) ≤ ½(0) - 6

-6 ≤ 0 - 6

-6 ≤ -6

This is true.

x = -2

3(-3) ≤ ½(-1) - 6

-9 ≤ -½ - 6

-9 ≤ [tex]-\frac{13}{2}[/tex]

This is also true.

Therefore, x ≤ -1.

Given:

The equation of a line is:

[tex]y=-\dfrac{5}{7}x+2[/tex]

A line passes through the point (-5,-3) and perpendicular to the given line.

To find:

The equation of the line.

Solution:

Slope intercept form of a line is:

[tex]y=mx+b[/tex]                 ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y=-\dfrac{5}{7}x+2[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]m=-\dfrac{5}{7}[/tex]

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{5}{7}\times m_2=-1[/tex]

[tex]m_2=\dfrac{7}{5}[/tex]

Slope of the required line is [tex]\dfrac{7}{5}[/tex] and it passes through the point (-5,-3). So, the equation of the line is:

[tex]y-y_1=m_2(x-x_1)[/tex]

[tex]y-(-3)=\dfrac{7}{5}(x-(-5))[/tex]

[tex]y+3=\dfrac{7}{5}(x+5)[/tex]

Using distributive property, we get

[tex]y+3=\dfrac{7}{5}(x)+\dfrac{7}{5}(5)[/tex]

[tex]y+3=\dfrac{7}{5}x+7[/tex]

[tex]y=\dfrac{7}{5}x+7-3[/tex]

[tex]y=\dfrac{7}{5}x+4[/tex]

Therefore, the equation of the line is [tex]y=\dfrac{7}{5}x+4[/tex]. Hence, option A is correct.

Answer:

285.214 cubic meters

Step-by-step explanation:

So I use this equation V=πr2h

All because this equation have a radius and so I put it in this form

V= π5.5^2 x 3

V=285

(I hope this help and if it’s wrong I am truly sorry)

The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

For a cylinder,
Height  = 3m
Radius = 5.5m
Volume = ?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.

Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ2

Answer:

Step-by-step explanation:

Compound ratio is the multiplication of the ratios:

Multiply to get:

Given ratios,

2/15 : 3/7 and 5/8 : 14/27

Then to find the compound ratio,

We have to multiply,

→ (2/15 × 5/8) : (3/7 × 14/27)

→ 10/120 : 42/189

Now simplify the ratio,

→ 1/12 : 2/9

Thus, required ratio is 1/12 : 2/9.

Answer:

(i)unique solution

Explanation:

We solve for x1 thus in the first equation:

x1-3x3=-3

x1-9=-3

x1=-3+9

x1= 6

We solve for a thus in the second equation:

2x1+ax2-x3=-2

2+a2-x3=-2

a2-x3=-4

a2=-4+x3

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

35°..

can also be 145° but not in this case since the angle is less than 90°

Answer:

So, the difference is 44874.

Step-by-step explanation:

Multiplication of 4986 by 45

= 4986 x 45 = 224370

Multiplication of 4986 by 54

= 4986 x 54 = 269244

So, the difference in results is

= 269244 - 224370 = 44874

Answer:

yes

because the descent of the ball is 32m per second

Step-by-step explanation:

To determine if the relationship is proportional, determine the descent of the ball per second

after 2 seconds = 64 / 2 = 32

after3 seconds = 96/3 = 32

after 4 seconds = 128 / 4 = 32

the relationship is proportional

Answer:

a = 45 millimeters

Step-by-step explanation:

In order to solve this, we need to know that for right-angled triangles the following is true:

[tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the hypotenuse and "a" and "b" are the legs)

From the formula above we can conlude that...

[tex]a = \sqrt{c^{2} - b^{2} }[/tex]

Now we just substitute the variable that we know and get that...

[tex]a = \sqrt{c^{2} - b^{2} }\\a = \sqrt{75^{2} - 60^{2} } \\a = \sqrt{5,625 - 3600} \\a = \sqrt{2025} \\a = 45[/tex]

Therefore a = 45millimeters.

Answer:

d

Step-by-step explanation:

its the correct answer

Hope this helps:)

Answer:

Step-by-step explanation:

We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to

180 - B - C. Therefore,

angle A = 180 - 11 - 75 so

angle A = 94. And the Law of Sines is

[tex]\frac{sin94}{a}=\frac{sin11}{600}[/tex] and cross multiply to get

600sin94 = asin11 and solve for a:

[tex]a=\frac{600sin94}{sin11}[/tex] gives you that

a = 3136.85

Answer:

nothing

Step-by-step explanation:

Zero is a number without a value so nothing could be another word for it

Solution :

Cost of 1 kg super tea mixture

[tex]$=\frac{1(1600)+5(800)+1(1700)}{1+5+1}$[/tex]

[tex]$=\frac{1600+4000+1700}{7}$[/tex]

[tex]$=\frac{7300}{7}$[/tex]

= 1042.8

≈ 1043

Include of cost blending and packaging.

So, cost of 1 kg is 1043 + 40 = 1083

Cost of packaging of 825 gram super tea = [tex]$\frac{825}{1000} \times 1083$[/tex]

                                                                     = 893.47

Answer:

Two line are perpendicular when they are at right angles to each other.

The red line is perpendicular to the blue line in each of these examples:

Perpendicular Example

Step-by-step ex;planation:

10.17 seconds

hope this helps