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xxMikexx [17]
3 years ago
12

=" (\sqrt{5 - 2)} (7 + \sqrt{5)} " alt=" (\sqrt{5 - 2)} (7 + \sqrt{5)} " align="absmiddle" class="latex-formula">
simplify
​
Mathematics
2 answers:
Mashutka [201]3 years ago
3 0

Answer:

15.9973389992

Step-by-step explanation:

\left(\sqrt{\left5-2\right}\right)\left(7+\sqrt{5}\right)             Simplify the square roots and use exact decimals

\sqrt{3} (7 + 2.2360679775)    Add inside the parentheses

1.73205080757 (9.2360679775)    Multiply

15.9973389992

If this answer is correct, please make me Brainliest!

Ghella [55]3 years ago
3 0
The answer should be 15.98
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HELPPPPP
Maslowich

Answer:

  • B. g(t) = -16t² + 80t

Step-by-step explanation:

<u>Given function:</u>

  • g(t) = -16t² + vt + h

A model rocket is launched off the ground at an initial velocity of 80 feet per second.

<u>This gives us </u>

  • h = 0 and v = 80

<u>The function becomes:</u>

  • g(t) = -16t² + 80t

Correct option is B.

8 0
3 years ago
Un grupo de turistas gasta $ 153 para alquilar tubos y aletas. Se alquilan un total de 12 snorkels y 15 pares de aletas. Alquila
Anettt [7]

Answer:

The cost to rent a snorkel is 9$

(<em>espanol</em>) el costo de un snorkel es de 9$

Step-by-step explanation:

(English)Given that the group of tourists have spent $153 in renting snorkels and fins and there are 12 snorkels and 15 pairs of fins being rented, allow x to be the amount paid for the rent of the snorkels and y to be the rent for pairs of fins then 12x + 15y = 153. Given also that the rent for a snorkel is three times the rent of a pair of fins then x = 3y then, 12(3y) + 15y = 153. Simplify the equation, 36y + 15y = 153. 51y = 153. Solve for y by dividing both sides of the equation by 51 then, y = 153/51 = 3. Therefore, renting a pair of fins costs $3. To compute for the rent of a snorkel, use the equation x = 3y then, x = 3($3) = $9.

(Espanol) Dado que el grupo de turistas han gastado $153 en el alquiler de snorkels y aletas y hay 12 snorkels y 15 pares de aletas que se alquilan, permitir x para ser la cantidad pagada por el alquiler de los snorkels y y para ser el alquiler para pares de aletas entonces 12x + 15y 153. Dado también que el alquiler para un snorkel es tres veces el alquiler de un par de aletas y luego x a 3y, entonces, 12 (3y) + 15y a 153. Simplifique la ecuación, 36y + 15y a 153. 51y a 153. Resuelva para y dividiendo ambos lados de la ecuación por 51 entonces, y á 153/51 a 3. Por lo tanto, alquilar un par de aletas cuesta $3. Para calcular el alquiler de un snorkel, utilice la ecuación x á 3y, a continuación, x a 3($3) a $9.  

5 0
3 years ago
You and your friends compare how many
Helen [10]

answer:

the mean for this is 27

step-by-step explanation:

all you have to do is add up all of the times

15, 18, 20, 22, 28, 37, 49

which would have given you

189

then you divide that number by how much times were written down

7 would be that number so

189/7 = 27

and this is what it is written in one equation

(15+18+20+22+28+37+49)/7

hope this helps you! :)

3 0
3 years ago
Find the volume of the irregular figure. 2 cm 3 cm 4 cm [?] cm3 5 cm 7 cm 3 cm 6 cm
Paha777 [63]

Answer:

102cm³

Step-by-step explanation:

Imagine the shape as two rectangular prisms, a small one on top of a bigger one. Find their volumes individually, and then add them together:

<u>Small rectangular prism</u>

Volume=length*width*depth

=2*3*(7-5)

=6*2

=12cm³

<u>Bigger rectangular prism</u>

Volume=length*width*depth

=6*3*5

=6*15

=90cm³

12+90=102cm³

6 0
3 years ago
I’m really bad at proofs like really bad can someone help with 20 and 21
Nina [5.8K]

Step-by-step explanation:

20.

In each proof, start by looking at what you're trying to prove.  We want to prove that two triangles are congruent.  To do that we use one of the following: SSS, SAS, ASA, or AAS.

To decide which one to use, look at the information given.  We're given two pairs of congruent sides, so we can narrow the strategy down to either SSS or SAS.  We aren't told anything about the third pair of sides, but we <em>can</em> see that ∠JNK and ∠MNL are vertical angles.  We'll use this to show the triangles are congruent by SAS.

1. JN ≅ MN, Given

2. ∠JNK ≅ ∠MNL, Vertical angles

3. NK ≅ NL, Given

4. ΔJNK ≅ ΔMNL, SAS

21.

Repeat the same steps as 20.  Again, we're trying to prove two triangles are congruent, so we have 4 strategies to choose from.  Just like before, we're given two pairs of congruent sides, so we'll use either SSS or SAS.  And again, we aren't told anything about the third pair of sides, but we can see that both triangles are right triangles.  So we'll use SAS again.

1. MN ≅ PQ, Given

2. ∠LMN ≅ ∠NQP, Right angles are congruent

3. LM ≅ NQ, Given

4. ΔNML ≅ ΔPQN, SAS

8 0
4 years ago
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