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3 years ago

Complete the sentence with always , sometimes, or never. The altitude of a triangle is _______ the perpendicular bisector

Mathematics

1 answer:

nydimaria [60]3 years ago

6 0

Sometimes is the answer. The altitude of a triangle is a perpendicular bisector when the triangle is isosceles.

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3[10-(27÷9) HELP PLEASE

steposvetlana [31]

Answer:

Step-by-step explanation:

You do the parentheses first, so 27/9 = 3

10-3 = 7

3 * 7 = 21

8 0

2 years ago

Read 2 more answers

A die is a cube with 1 edgemeasuring 0.62 inches. Find the total volume of the 5 dice in agame.

igomit [66]

The volume of one die is the edge to the power of 3:

$V=0.62^3in^{3^{}}.$

The total volume is five times the above volume:

$5V=1.19164in^3.$

Answer:

$1.19164in^3$

5 0

1 year ago

Perform the indicated operation. PLEASEE HELPP HURRYY!! (3 + i) + (5 + 7i) = A) -2 + 6i B) 2 + i C) 8 + 6i D) 8 + 8i

Dovator [93]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{8 + 8i}}}}}$

Option D is the correct option.

Step-by-step explanation:

$\sf{(3 + i) + (5 + 7i)}$

When there is a ( + ) in front of an expression in parentheses , there is no need to change the sign.

That means, the expression remains the same.

Just remove the unnecessary parentheses

⇒ $\sf{3 + i + 5 + 7i}$

Collect like terms and simplify

⇒ $\sf{3 + 5 + i + 7i}$

⇒ $\sf{8 + 8i}$

Hope I helped!

Best regards!!

7 0

2 years ago

find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive

wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

n = number of terms,
a = first term and
d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0

1 year ago

Can I get help with these two please?

PSYCHO15rus [73]

Hi, hope this helps :)

3 0

3 years ago