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3 years ago

A bank teller's salary is $23,979 a year; how much will they earn over 35 years?

Mathematics

1 answer:

larisa86 [58]3 years ago

6 0

Answer:

$839,265

Step-by-step explanation:

$23,979 x 35 = $839,265

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An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded

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3 years ago

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Two pyramids are similar. Their base edges are a ratio of 3:5. Find the ratio of their surface area.

Alborosie

Answer:

9/25

Step-by-step explanation:

Two pyramids are similar. Their base edges are a ratio of 3:5. Find the ratio of their surface area.

The ratio of the surface area is calculated as the square of the ratio of the edges

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Ration of surface area = 3²/5²

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6 0

3 years ago

Given: ∆ABC, AB = BC, BM = MC<br> AC = 40, m∠BAC = 42º<br> Find: AM

Anna [14]

Answer:

The length of AM is 26.50 units.

Step-by-step explanation:

Given information: AB = BC, BM = MC , AC = 40, ∠BAC = 42º.

Since two sides of triangle are equal, therefore the triangle ABC is an isosceles triangle.

The corresponding angles of congruents sides are always equal. So angle C is 42º.

According to the angle sum property the sum of interior angles is 180º.

$\angle B=180-42-42=96$

Law of Sine

$\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}$

$\frac{\sinB}{AC}=\frac{\sin(C}{AB}$

$\frac{\sin(96)}{40}=\frac{\sin(42}{AB}$

$AB\sin(96)=40\sin(42)$

$AB=\frac{40\sin(42)}{\sin(96)}$

$AB=26.91$

Therefore the length of AB and BC is 26.91.

Since M is midpoint of BC, so

$BM=\frac{BC}{2}=\frac{26.91}{2}=13.455$

Use Law of Cosine in triangle ABM to find the value of AM.

$a^2=b^2+c^2-2bc\cos A$

$AM^2=AB^2+BM^2-2(AB)(BM)\cos (B)$

$AM^2=(26.91)^2+(13.455)^2-2(26.91)(13.455)\cos (96)$

$AM=26.50$

Therefore the length of AM is 26.50 units.

6 0

3 years ago