Answer:
x = 42.9 m
Step-by-step explanation:
Corresponding sides of similar triangles MAB and MNP are proportional. This means ...
x/MP = MA/MN
However, we don't have a number for MA yet, so we need to find it.
MA +AN = MN
MA = MN - AN subtract AN
MA = 67.2 m - 32 m = 35.2 m
Now, we can use this to find x.
x = MP · (MA/MN) = (81.9 m) · 35.2/67.2
x = 42.9 m
Answer:
The storage capacity of the USB is far greater than Kilobytes, but less than a Terabyte.
Step-by-step explanation:
The USB storage device has a capacity of (8 - 256) GB. This implies that the USB has the capacity to store files size from 8 Gigabytes to 256 Gigabytes.
8 Gigabytes ≅ 8 000 000 000 bytes
256 Gigabytes ≅ 256 000 000 000 bytes
Kilobytes would not be an appropriate descriptive measurement of the storage capacity of the USB because 1 kilobyte ≅ 1 000 bytes. Thus;
8 Gigabytes ≅ 8 000 000 kilobytes
256 Gigabytes ≅ 256 000 000 Kilobytes
The storage capacity of the USB is far greater than Kilobytes.
Terabytes can not be used to describe the measurement f the USB because; 1 Terabyte ≅ 1 000 000 000 000 bytes
Thus, the storage capacity of the USB is less than 1 Terabyte.
You would write the equation out as x=35x+500
You substitute x for 7 so it’s x= 35(7)+500
So the answer will be 745 dollars
Answer:
26 cm²
Step-by-step explanation:
The area of the rectangle whose dimensions are shown at the right and bottom is ...
(6 cm)(7 cm) = 42 cm²
The figure is smaller than that by the area of the space whose dimensions are shown at the right and in the middle left:
(4 cm)(4 cm) = 16 cm²
The figure area is then the difference ...
42 cm² - 16 cm² = 26 cm²
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<em>Alternate solution</em>
Draw a diagonal line between the lower right inside corner and the lower right outside corner. This divides the figure into two trapezoids.
The trapezoid at lower left has bases 7 and 4 cm, and height 6-4 = 2 cm. Its area is ...
A = (1/2)(b1 +b2)h = (1/2)(7 + 4)(2) = 11 . . . . cm²
The trapezoid at upper right has bases 6 cm and 4 cm and height 3 cm. Its area is ...
A = (1/2)(b1 +b2)h = (1/2)(6 + 4)(3) = 15 . . . . cm²
Then the area of the figure is the sum of the areas of these trapezoids, so is ...
11 cm² + 15 cm² = 26 cm²
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<em>Comment on other alternate solutions</em>
There are many other ways you can find the area of this figure. It can be divided into rectangles, triangles, or other figures of your choice. The appropriate area formulas should be used, and the resulting partial areas added or subtracted as required.
You can also let a geometry program find the area for you. (It is 26 cm².)