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3 years ago

Write a fraction and a percent for the shaded portion of each one.

Mathematics

2 answers:

Morgarella [4.7K]3 years ago

7 0

Answer:

Fractions:

a. 1/4

b. 1 and a half

c. 2/3

Percentages:

a. 25%

b. 50% unsure abt this one

c. 66.67%

Step-by-step explanation:

Cerrena [4.2K]3 years ago

4 0

I dunno if im correct, but for A. I’d say 1/4 for B. I’d say 1 1/2 for C. 2/3

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Which of the following rectangular prisms has a base area of 40 cm2 and a volume of 160 cm3?

Anon25 [30]

The base is 4 x 10. which means that you can divide 160 by 40 to get the hieght. (The height is 4)

4 0

3 years ago

A $830 iphone has a 20%

Mila [183]

Answer:

$614.2

Step-by-step explanation:

Um I just calculated it. I'm in Algebra 2 so it's light work

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2 years ago

Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

4 0

3 years ago

2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap

telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if $\frac{p}{q}$ is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

$f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0$

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1 10 35 50 24

| 0 -1 -9 -26 -24

1 9 26 24 0

Hence quotient is $x^{3} +9x^{2} +26x+24$

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

$(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0$

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1 9 26 24

| 0 -2 -14 -24

1 7 12 0

Hence quotient is $x^{2} +7x+12$

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

$(-3)^{2}+7(-3)+12=-9-21+12=0$

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1 7 12

| 0 -3 -12

1 4 0

Hence quotient is x+4.

So, $f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)$

Please have a look at the graph attached.

4 0

3 years ago

The dockland building in hamburg, germany is built in the shape of a parallelogram. What is the length of the flight of stairs t

Tamiku [17]

Answer:

The length of the flight of stairs is 52 m

Step-by-step explanation:

In parallelograms, opposite sides are equal in length

In the given figure

∵ The building is built in the shape of a parallelogram

∵ The length of the flight of stairs is one side of it

→ We can find it by finding the hypotenuse of the right triangle

whose legs are 47 m and 22 m

∴ The length of it = the length of the hypotenuse of the right Δ

→ By using the Pythagoras Theorem

∵ h = $\sqrt{(leg1)^{2}+(leg2)^{2}}$

∵ leg1 = 47 and leg2 = 22

∴ h = $\sqrt{(47)^{2}+(22)^{2}}$

∴ h = $\sqrt{2209+484}$

∴ h = $\sqrt{2693}$

∴ h = 51.89412298

∵ h represents the length of the flight of stairs

∴ The length of the flight of stairs = 51.89412298 m

→ Round it to the nearest meter

∴ The length of the flight of stairs = 52 m

4 0

3 years ago