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3 years ago

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Mathematics

1 answer:

Natali [406]3 years ago

5 0

Answer:

the answer is D. the center of a circle

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Jameson Flip a quarter two times in a row. What is the probability that he flipped a heads followed by a tails?

Vadim26 [7]

Answer:

1/4

Step-by-step explanation:

5 0

3 years ago

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If each letter of the alphabet is worth two more than its preceding letter, where A is the first number and equals 1, B is the s

andrey2020 [161]

Answer:

<h2>The total value of all the letters in the alphabet is 676.</h2>

Step-by-step explanation:

The problem is about an arithmetic sequence where the difference is 2, the first term is 1 and we know that the alphabet has 26 letters.

To find the total sum of all values, we have to use the following formula

$S_{n}=\frac{n}{2}(2a_{1}+(n-1)d )$

Where $n=26$ , $a_{1}=1$ and $d=2$ . Replacing values, we have

$S_{26}=\frac{26}{2}(2(1)+(26-1)2) =13(2+50)=13(52)=676$

Therefore, the total value of all the letters in the alphabet is 676.

7 0

3 years ago

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PLEASE HELP ASAP!!! :)) ITS EASY

inn [45]

Answer:

Step-by-step explanation:

8 0

3 years ago

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Can someone answer question 2a and b only please

Mice21 [21]

Answer:

2a) -2

b) 8

Step-by-step explanation:

<u>Equation of a parabola in vertex form</u>

f(x) = a(x - h)² + k

where (h, k) is the vertex and the axis of symmetry is x = h

2 a)

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is 6, then

f(6) = 0

⇒ a(6 - 2)² - 6 = 0

⇒ 16a - 6 = 0

⇒ 16a = 6

⇒ a = 6/16 = 3/8

So f(x) = 3/8(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

f(x) = 0

⇒ 3/8(x - 2)² - 6 = 0

⇒ 3/8(x - 2)² = 6

⇒ (x - 2)² = 16

⇒ x - 2 = ±4

⇒ x = 6, -2

Therefore, the other x-axis intercept is -2

Using the equation of a parabola in vertex form, a parabola with vertex (2, -6):

f(x) = a(x - 2)² - 6

If one of the x-axis intercepts is -4, then

f(-4) = 0

⇒ a(-4 - 2)² - 6 = 0

⇒ 36a - 6 = 0

⇒ 36a = 6

⇒ a = 6/36 = 1/6

So f(x) = 1/6(x - 2)² - 6

To find the other intercept, set f(x) = 0 and solve for x:

f(x) = 0

⇒ 1/6(x - 2)² - 6 = 0

⇒ 1/6(x - 2)² = 6

⇒ (x - 2)² = 36

⇒ x - 2 = ±6

⇒ x = 8, -4

Therefore, the other x-axis intercept is 8

8 0

2 years ago

The diagram shows a prism.

telo118 [61]

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = $\frac{1}{2}(\text{Base})(\text{Height})$

Area of 2 similar sides = Base × Height

= 8 × 15

= 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

= 920 cm²

6 0

3 years ago