What is 5 x 4 i will give you brainlist

Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int

navik [9.2K]

Answer: $28\ cubes$

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

$1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}$

Then the volume of the shipping box is:

$V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3$

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

6 0

4 years ago

Find the value of x in the triangle shown below. x = 98° 27°

Levart [38]

Answer: 55

Step-by-step explanation: There is one simple theorem we need to know in order to solve for this.

Triangle Angle-Sum Property: All three angles interior angles of a triangle add up to 180°.

Thus, we could label the points A, B, and C, and set up an algebraic expression.

Let A = 27, B = 98, and C = x.

A + B + C = 180°.

Substituting A, B, and C we get:

27 + 98 + x = 180°.

Adding, we get:

125 + x = 180°

Subtracting 125 by 180, we get:

x = 55°

Thus, the angle X is 55°.

We could have simply solved this by just doing 180 - 98 - 27 = 55 in the first place, but I wanted to show you how I got such results.

5 0

2 years ago

Mateo compró un artefacto gastando los 3/7 de su dinero, quedándole 360 soles, ¿Cuál era el dinero que tenía Mateo al inicio?

Debora [2.8K]

Answer:

840 soles

Step-by-step explanation:

Sea la cantidad de dinero que Mateo tenía al principio = x

Mateo compró un artefacto gastando 3/7 de su dinero, dejándole 360 soles,

Por eso,

3/7 × x = 360 soles

3x / 7 = 360 soles

Multiplicar cruzada

3x = 7 × 360 soles

x = 7 × 360 soles / 3

x = 840 soles

Por tanto, el dinero que tenía Mateo al principio es de 840 soles

5 0

3 years ago

Vectors! Please help! This is the last question OF MY WHOLE SEMESTER! I've tried it so many times and can't get it right. :(

Feliz [49]

Pictures always help; see the one I've attached for reference.

Call the first vector (from HQ to the supply drop) u and the second vector (from supply drop to medics) v. We then want to find w, the vector from the medics to HQ, which corresponds to the vector -(u + v). (This is because u + v is the vector pointing from HQ to the medics; we're talking about the one in the opposite direction.)

Write the vectors in horizontal/vertical component form:

u = (125 km) (cos 235º x + sin 235º y) = (-71.70 x - 102.39 y) km

v = (75 km) (cos 110º x + sin 110º y) = (-25.65 x + 70.48 y) km

Why these angles?

"55 degrees south of west" is 235º; due west is 180º from the positive horizontal axis, and you add 55º to this
"20 degrees west of north" is 110º; due north is 90º, so add 20º to this

Add the vectors:

u + v = (-97.35 x - 31.92 y) km

Multiply by -1 to get the vector w:

w = -(u + v) = (97.35 x + 31.92 y) km

The distance covered by this vector is equal to its magnitude:

||w|| = √((97.35 km)^2 + (31.92 km)^2) = 102.45 km

The direction θ is given by

tanθ = (31.92 km)/(97.35 km) ==> θ = 18.15º

6 0

3 years ago

Match each equation with a diagram:

denis23 [38]

Answers:
Equation 1: B
Equation 2: D
Equation 3: A
Equation 4: C

*I am pretty sure are right

3 0

3 years ago

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