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Vikki [24]
2 years ago
14

Name the similar triangles. ΔABC ~ ΔDEF ΔABC ~ ΔEFD ΔABC ~ ΔDFE ΔABC ~ ΔFED​

Mathematics
1 answer:
IgorLugansk [536]2 years ago
7 0
Triangle ABC because the other ones are different from each other and there is only one of them.
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You put $1200 in an account that earns 3% simple interest. Y= a (1 + r)t Find the total amount in the account after four years.
olchik [2.2K]

Hello!

To find how much money total will be in the account after four years, you need to use the function, y = a(1 + r)^{t}, as seen above. In this function, a is the starting value, r is the interest rate, and t is the amount of time (in years).

Before substituting values into the function, we need to convert 3% into a decimal. Remember that all percentages are out of 100, so we divide 3 by 100 and remove the percentage sign, or move the decimal two places to the left.

3/100 = 0.03 | 0.03 is the interest rate.

With all the necessary values, we can find the total amount in the account. In this case, a = 1200, r = 0.03, and t = 4.

y = 1200(1 + 0.03)^{4}

y = 1200(1.03)^{4}

y = 1200(1.12550881)

y = 1350.610572, which can be rounded to 1350.61 dollars.

Therefore, after 4 years, the total amount in the account will be about 1350.61 dollars.

6 0
2 years ago
A recipe calls for 2 tsp of salt, 1 tsp of pepper, and 4 tsp of garlic powder. How much pepper and garlic powder would you need
MakcuM [25]

Answer:

amount of pepper required= 7.5 tsp

amount of garlic powder required = 30 tsp

Step-by-step explanation:

Given,

amount of salt used for small batch of the recipe = 2 tsp

amount of pepper used for small batch of the recipe = 1 tsp

amount of garlic powder used for small batch of the recipe = 4 tsp

amount of salt used for the larger batch = 15 tsp

                                                             = 2 x 7.5 tsp

                                                             = amount of salt used for small batch the recipe x 7.5

So,

the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe

                                                                      = 7.5 x 1 tsp

                                                                       = 7.5 tsp

the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe

                                                                                          = 7.5 x 4 tsp

                                                                                          = 30 tsp

3 0
2 years ago
Which of the following are solutions to the equation below (5x+1)^2=7?<br><br> Check all that apply.
stiv31 [10]
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0

Solve this quadratic for x:

x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5  (answer E)

4 0
1 year ago
Read 2 more answers
Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step
Arturiano [62]
Step 2 is the answer
3 0
2 years ago
Read 2 more answers
Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given
lorasvet [3.4K]
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
5g 1b = 8C5* 21 =  56*21 = 1176
6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

6 0
2 years ago
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