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nata0808 [166]
2 years ago
10

1. What is the area of the triangle below? 10 in. 7 in.

Mathematics
2 answers:
gregori [183]2 years ago
8 0

Answer:

35 inches²

Step-by-step explanation:

Given Base and Height of triangle: 10 inches and 7 inches

To determine the area of a triangle, multiply the base and the height. Then divide the product of the base and the height by 2.

Therefore, the "area of triangle" formula is:

\boxed{\text{Area of a triangle} = \frac{\text{Base} \times \text{Height}}2}

Now, substitute the base and the height in the formula. Then, simplify the expression to determine the area of the triangle provided.

\implies \text{Area of the triangle} = \dfrac{\text{10} \times \text{7}}2}

\implies \text{Area of the triangle} = \dfrac{70}2} = \boxed{35 \ \text{in}^{2}}

Therefore, the area of the triangle is 35 inches².

Learn more about area of triangles: brainly.com/question/11456892

Alex787 [66]2 years ago
6 0

Hi

<u>The area of a triangle is </u>

\cfrac{base*height}{2}

If we plug in the given values, we get:

\frac{10*7}{2}

Multiply in the numerator:

\frac{70}{2}

Divide:

35

Therefore, the area of the triangle is 35 inches squared.

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Write the first five terms of a sequence. Don't make your sequence too simple. Write both an explicit formula and a recursive fo
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Let the first five terms of a sequence be, 4,8,12,20,24

Ok, let me explain the meaning of term explicit and Recursive formula.

Explicit formula ,is the general formula to find any  term of the sequence.

And, Recursive formula, is the method by which, we can find the nth term of the sequence if (n-1)th term of the sequence is known.

So,the explicit formula for the sequence is,

y = 4 n, where , n is any natural number.

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y = 4 (n-1), with the help of (n-1)th term we can find nth term.

First term =4=4 × 1

Second term =8 =4 × 2

Third term =12=4×3

Fourth term =16 =4 × 4

.....................

...........................

.................................

(n-1) th term =4 × (n-1)

nth term =4 × n

Applying the simple procedure by looking at the first , second and the way the next term goes , the general and recursive formula is obtained.

As, you said you don't want simpler sequence

Consider the first five terms of the sequence, 0, 3,8,15, 24.

Explicit formula =n² + 2 n

Recursive formula=(n-1)²+2(n-1)

If,you will look at the sequence, it is neither Arithmetic nor geometric .

First term =0=0²+0×0

Second term =3=1+2=1²+2 × 1

Third term =8=4+4=2²+2×2

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So, Explicit formula= n²+ 2 n, where n is a whole number.

HOPE THIS HELPS!

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Answer:

(x,y) = (8,7)

Step-by-step explanation:

Solve equation [2] for the variable  x

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Plug this in for variable  x  in equation [1]

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