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BaLLatris [955]
3 years ago
5

A 12 ft ladder is placed 5 feet from a building. Approximately how high does the ladder reach? Round to the nearest tenth, if ne

cessary. *
Mathematics
1 answer:
Igoryamba3 years ago
6 0

Answer:

10.9

Step-by-step explanation:

You can solve this using the Pythagorean theorem, a^2+b^2=c^2, since it will form a right triangle.

You aren't missing the hypotenuse (c), but one of the side lengths (b). But you still solve like a normal algebraic equation.

Plugging in your values, you should start with 5^2+b^2=12^2

Then square everything.

25+b^2=144

Take away 25 from both sides.

b^2= 119

Then square root both sides.

b= 10.9

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What is a to the -6th power using a positive exponent
pentagon [3]
a^{-6}=\left(\dfrac{1}{a}\right)^6=\dfrac{1}{a^6}
5 0
3 years ago
Santino pays $36.85 for eleven 10-count boxes of granola bars. How much does 1 box of granola bars cost?
Fantom [35]

Answer:

One box of granola bars costs $3.35.

Step-by-step explanation:

36.85/11=3.35

5 0
3 years ago
What’s the given m ABC = 70 and m ADC = 46
uysha [10]

Answer:

Step-by-step explanation:

Properties of a kite;

1). A kite has one pair of equal angles.

2). A kite has two pairs of adjacent sides.

3). Diagonals of a kite intersect at 90°.

4). Kite has at least one diagonal that bisects the opposite angles.

It's given in the question,

m∠ABC = 70° and m∠ADC = 46°

By the property number -4,

m∠2 = m∠3 = \frac{70}{2} = 35°

m∠8 = m∠9 = \frac{46}{2} = 23°

By the property number - 3,

m∠4 = 90°

By the property of interior angles in a triangle,

m∠3 + m∠4 + m∠5 = 180°

35° + 90° + m∠5 = 180°

125° + m∠5 = 180°

m∠5 = 55°

Similarly, m∠1 + m∠2 + 90° = 180°

m∠1 + 35° + 90° = 180°

m∠1 = 55°

Now m∠6 + 90° + m∠8 = 180°

m∠6 + 90° + 23° = 180°

m∠6 = 180 - 113 = 67°

Therefore, m∠6 = m∠7 = 67°

3 0
3 years ago
4m² – 3m6 – 5m4<br> What is the degree of the polynomial?
Papessa [141]

Answer:

Degree of the polymonial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.

Step-by-step explanation:

I think the equation is 4m² – 3m^{6}- 5m^{4}

Therefore, degree of the polynomial is the sum of the powers of the variables,

2 + 6 + 4 = 12

Hope this helps!

3 0
3 years ago
Slope is –2 &amp; (5, 3) is on the line.<br> Y-Intercept:<br> Equation of the line (no spaces):
insens350 [35]

Answer:

y-int: (0, 13)

Equation: y = -2x + 13

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

<em>m</em> = slope

<em>b</em> = y-intercept

Step 1: Define variables

<em>m</em> = -2

Random point (5, 3)

Step 2: Plug in known variables

y = -2x + b

Step 3: Find y-intercept <em>b</em>

3 = -2(5) + b

3 = -10 + b

b = 13

Step 4: Rewrite equation

y = -2x + 13

3 0
3 years ago
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