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densk [106]
2 years ago
11

In AQRS, m2 Q = 63º, mZ R = 70°, and m2 S= 47°. Which side of AQRS is the

Mathematics
1 answer:
8090 [49]2 years ago
5 0

Answer:

D. QR.

Step-by-step explanation:

1) in ΔQRS the side QR is opposite the angle S (47°); QS is opposite the angle R (70°); RS is opposite the angle Q (63°);

2) the rule is: greater angle is opposite the longer side;

3) according to the rule the angle 'S' is the smallest, then the side QR is the shortest.

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I mean didnt you get an answer already its 14
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Solve the simultaneous equations <br> 5x + 6y = 3<br> 2x - 3y = 12
Serhud [2]

Answer: x =3; y = -2

\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ \left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\\left \{ {{x=3} \atop {y=-2}} \right.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
10) Chris invested $5,500. The investment had a simple interest rate of 3.5%. If he plans to leave the
Oksi-84 [34.3K]

Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.

According to the question,

We have the following information:

Chris invested $5,500. The investment had a simple interest rate of 3.5%. And he plans to leave the investment alone for 12 years.

Now, we know that the following formula is used to find the simple interest on an investment:

Interest = principal*rate*time/100

Principal = $5500

Rate = 3.5

Time = 12 years

Interest = (5500*3.5*12)/100

Interest = $2310

Now, the total amount in his account will be:

5500+2310

$7810

Hence, Chris will have $7810 at the end of 12 years in his account if the simple interest rate is 3.5%.

To know more about simple interest rate here

brainly.com/question/7279636

#SPJ1

5 0
1 year ago
Find the height of a square pier amid that has a volume of 32 ft.³ and a base length of 4 feet
Vsevolod [243]

Answer:

<h2>8 feet</h2>

Step-by-step explanation:

The formula of a volume of a square pyramid:

V=\dfrac{1}{3}s^2H

s - base length

H - height

We have the volume V = 32 ft³ and the base length s = 4 ft.

Substitute and solve for H:

\dfrac{1}{3}(4^2)H=32\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{1}{3\!\!\!\!\diagup_1}(16)H=(3)(32)\\\\16H=96\qquad\text{divdie both sides by 16}\\\\H=\dfrac{96}{16}\\\\H=8\ ft

3 0
2 years ago
Write the first five terms of the sequence defined by the recursive formula
Arada [10]

Answer:

The second option is the correct answer

The sequence is : 0, -1, -6, -31, -156

Step-by-step explanation:

It is given that,  

The recursive formula , an = 5a(n-1) - 1 and a1 = 0

<u>To find a2, a3, a4, a5 </u>

a2 = 5a1 -1 = 5x0 - 1 = -1

a3 = 5a2 - 1 = (5x -1 ) - 1 = - 5 - 1 = -6

a4 = 5a3 - 1 =(5x -6) - 1 = -30 - 1= -31

a5 = 5a4 - 1 = (5 x -31 ) - 1 = -155 -1 = -156

Therefore the resulting sequence is

0, -1, -6, -31 ,-156



6 0
3 years ago
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