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Eva8 [605]
3 years ago
8

In this question , all lengths are in centimetres. AB= 3x-4,AC=2x+12,BC=7x-2.given AB:AC=1:2 show that AC:BC=2:3

Mathematics
2 answers:
Archy [21]3 years ago
8 0

Answer:

c on edg...

Step-by-step explanation:

Lelu [443]3 years ago
4 0

Answer:

AX : XB as AB : AC

AX = 5

XB = 4

AC = 6

AB = x

Step-by-step explanation:

5 : 4 as to x : 6

ratios can also be written as fractions...

5/4 = x/6 ..now we have a proportion...so we cross multiply

(4)(x) = (5)(6)

4x = 30

x = 30/4

x = 15/2 <==== AB = 15/2

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Bob is building a wooden cabin. The cabin is 30 meters wide. He obtained a bunch of 17 meters long wooden beams for the roof of
qaws [65]
The roof will be in the shape of an isosceles triangle with a base length of 30 m and two sides that are 17 m. The two 17 m beams will have the same angle of elevation since they have to might in the middle.

So to find the angle of elevation, we can split the roof in half vertically to create a right triangle. The base will now be 15 m, and the hypotenuse will be 17. Now we can use a trigonometry function to solve for the angle. We know the hypotenuse and the side adjacent to the angle, so we can use cosine.

cos(\theta) =  \frac{adjacent}{hypotenuse}

cos(\theta)= \frac{15}{17}

cos^{-1}( \frac{15}{17})=\theta

\theta = 28.1^{\circ}

The answer  is 28.1 degrees
3 0
3 years ago
Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the
bija089 [108]

9514 1404 393

Answer:

  • 262.2π cm²
  • 392.16π cm²

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

  LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²

The total surface area adds the area of the base to that:

  A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

  A = 392.16π cm²

3 0
3 years ago
Please help me!!
Anton [14]

Answer:

Quadrant 2, x-axis

Step-by-step explanation:

Point C is on top left side of the x-y graph, which is quadrant 2.

An axis refers to line, so the x axis the is horizonal line, as it says on the right end of it.  The y axis is the vertical line, noted at the top of the line.

The only line that's on a line is point D and it's on the x-axis.

3 0
2 years ago
Please help I’ll give brainiest!!
Charra [1.4K]

Answer:

f(4) = 0

Step-by-step explanation:

f(4) means what is the value of y when x = 4

Now x = 4 is on the x- axis, where y = 0, thus

f(4) = 0

5 0
3 years ago
the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati
luda_lava [24]

Answer:

The standard deviation of the data set is \sigma = 12.7906.

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}

we use the following formula

                                             \sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }

Step 1: Find the mean \left( \overline{X} \right).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}

Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 1472.4

Step 4: Calculate σ using the above formula.

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906

3 0
3 years ago
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