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Luda [366]
3 years ago
8

14. At the library, Herb spent 1/6 hour looking for a book, 1/4 hour reading, and 1/2 hour doing research on the computer. How m

any
hours did Herb spend at the library?

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0
Herb spent 55 minutes at the library
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2x +8= 3x-4 what is x equal two
notka56 [123]

Answer:

x= 12

Step-by-step explanation:

8 0
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F = 2x + y<br> 3x + 5y = 45 x20 and y20<br> 2x + 4&lt;32
ipn [44]

Answer:

a

Step-by-step explanation:

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a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane
Setler79 [48]

Answer: 336.80 miles, 15.85^{\circ} North of east

Step-by-step explanation:

Given

Plane lands at a point 324 miles east and 92 miles north

Distance is given by using Pythagoras theorem

\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}

Direction is given by using figure i.e.

\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}

Direction is 15.85^{\circ} North of east

7 0
3 years ago
20 PTSS !!!<br> PLEASE HELPP !!
butalik [34]

Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).

So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.

Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.

The area is 150 square units

8 0
3 years ago
The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism
AleksAgata [21]

Answer:

\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

<em />\displaystyle V_P = 2x^3 - 6x^2 + 8x<em />

<em />\displaystyle V_C = 27x^3<em />

<em />

<u>Step 2: Find Combined Volume</u>

  1. [Set up] Add:                                                                                                     \displaystyle V_P + V_C = V_{P + C}
  2. Substitute in variables:                                                                                    \displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x
  3. Combine like terms:                                                                                        \displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x
8 0
3 years ago
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