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3 years ago

A model of a lighthouse is 2 inches wide at its base and 6 inches tall. If the actual

Mathematics

1 answer:

geniusboy [140]3 years ago

5 0

Answer:

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Step-by-step explanation:

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The seats at a local baseball stadium are arranged so that each row has five more seats than the row below it. If there are 4 se

nordsb [41]

Givens:

a = 4; n = 23; d = 5

Formula

L = a + (n - 1)*d

Substitute and solve

L = 4 + (23 - 1)*5

L = 4 + 22*5

L = 4 + 110

L = 114 Answer

4 0

3 years ago

Tamiko got a check for 109.60 and a small bonus check for 34.15.What is the net result of her transactions using the result from

lara31 [8.8K]

a) Net result of Tamiko's transactions = $143.75

b) Total amount she can save = $86.25

Step-by-step explanation:

Step 1 :

Given,

Amount Tamiko got in her first check = $109.60

Amount of the bonus check = $34.15

Fraction of the amount she wants to save = $\frac{3}{5}$

We need to find the net results of her transactions and the amount she will save

Step 2 :

The new result of her transactions can be computed by adding the amount she has received through both the check.

Total amount she received = 109.60 + 34.15 = 143.75

Total amount she can save = $\frac{3}{5}$ × 143.75 = 86.25

Step 3 :

Answer :

a) Net result of Tamiko's transactions = $143.75

b) Total amount she can save = $86.25

8 0

3 years ago

Round seven point seven six to one decimal place

Rzqust [24]

7.76 to one decimal place

= 7.8

We are looking at one decimal place, in this case the number 7 after the decimal place next to 6. Any number above 5 rounds up the number in front of it. 6 is above 5 so it changes the 7 to an 8.

6 0

3 years ago

Read 2 more answers

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

3 0

3 years ago

Read 2 more answers

G(t) = 3t + 4; Find g(−3)

Bess [88]

G(-3)= 3(-3)+4

g(-3) = -5

7 0

3 years ago