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Ray Of Light [21]
3 years ago
7

This drawing shows an Isosceles triangle. Work out the size of angle a. ​

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0
50 degrees

All triangles have 180 degrees total.

Since it’s an isosceles triangle, the 2 bottom angles are congruent; thus, they have the same angle measurement.

Now just subtract the two angles from 180 to get the third angle.

180 - 65 - 65 = 50
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a rectangle that has a width of 2 inches and a length of 3 has been scaled by a factor of 7. what is the new width of the rectan
vichka [17]

Answer: 14 inches

Step-by-step explanation:

From the question, we are informed that a rectangle has a width of 2 inches and a length of 3 inches and has been scaled by a factor of 7.

This simply means that we've to multiply the width of the rectangle by 7 and also multiply the length of the rectangle by 7.

Old width = 2 inches

New width= 2 inches × 7 = 14 inches

The new width of the rectangle is 14 inches

4 0
3 years ago
A school conducts 27 test and 36 weeks assume the school conducts test at a constant rate what is the slope of the line that rep
frosja888 [35]
Slope equals rise over run. Rise is referring to y values and run is referring to X values. so if they say tests are the Y axis then you use 27 as the rise and 36 as the run. once you have the fraction it is simply reducing the fraction.
27/36= 9/12 = 3/4
6 0
3 years ago
Read 2 more answers
Draw an equilateral triangle of perimeter 10 centimetres.​
3241004551 [841]

Answer:

See attachment for triangle

<em></em>

Step-by-step explanation:

Given

Shape: Equilateral triangle

Perimeter = 10cm

Required

Draw the triangle

First, we determine the side lengths.

The perimeter of an equilateral triangle is:

Perimeter = 3 * Length

So, we have:

10= 3 * Length

Solve for Length

Length = \frac{10}{3}

Length = 3.33

<em>See attachment for triangle</em>

4 0
3 years ago
Assume that f(x)=ln(1+x) is the given function and that Pn represents the nth Taylor Polynomial centered at x=0. Find the least
WINSTONCH [101]

Answer:

the least integer for n is 2

Step-by-step explanation:

We are given;

f(x) = ln(1+x)

centered at x=0

Pn(0.2)

Error < 0.01

We will use the format;

[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01

So;

f(x) = ln(1+x)

First derivative: f'(x) = 1/(x + 1) < 0! = 1

2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1

3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2

4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6

This follows that;

Max|f^(n+1) (c)| < n!

Thus, error is;

(n!/(n + 1)!) × 0.2^(n + 1) < 0.01

This gives;

(1/(n + 1)) × 0.2^(n + 1) < 0.01

Let's try n = 1

(1/(1 + 1)) × 0.2^(1 + 1) = 0.02

This is greater than 0.01 and so it will not work.

Let's try n = 2

(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267

This is less than 0.01.

So,the least integer for n is 2

7 0
4 years ago
Each year on the same day, Susan deposits $175 into a saving account that earns simple interest at a rate of 3.5%. She makes no
igomit [66]
The amount after time t will be given by simple interest formula given by:
A=prt/100
where:
principle,p=$175
rate, r=3.5%
time, t=5 years
thus the rate earned after 5 years will be:
A=(175*3.5/100*5)
A=$30.625
Answer: B] 30.65

3 0
3 years ago
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