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Luba_88 [7]
3 years ago
13

 NO ONE CAN ANSWER A parallelogram has an area of 37.72 m^ 2 and a height of 4.6 m. How long is the base of the parallelogram?

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0
8.6 is the answer I'm pretty sure
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The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =
devlian [24]

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

<h3>What are perfect squares trinomials?</h3>

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

(ax + b)^2 = a^2x^2 + b^2 + 2abx

Comparing this expression with the expression we're provided with:

x^2 + 10x + c

we see that:

a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\

Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

brainly.com/question/88561

6 0
2 years ago
Some banks now use continuous compounding of an amount invested. In this case, the equation that models the value of an initial
Komok [63]

Answer:

In this case, the equation that models the value of an initial investment of P dollars in t years at an annual interest rate of r is given by A = Pert.

Step-by-step explanation:

4 0
2 years ago
Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1​
Sonbull [250]

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

(-5 + y) + y = -1

-5 + 2y = -1

2y = 4

y = 2

Now we can solve for x by plugging y into either equation

x + (2) = -1

x = -3

8 0
2 years ago
Read 2 more answers
Which of the following in an identity?
sammy [17]
By "which is an identity" they just mean "which trigonometric equation is true?"

What you have to do is take one of these and sort it out to an identity you know is true, or...

*FYI: You can always test identites like this:
Use the short angle of a 3-4-5 triangle, which would have these trig ratios:
sinx = 3/5    cscx = 5/3
cosx = 4/5   secx = 5/4
tanx = 4/3    cotx = 3/4
Then just plug them in and see if it works. If it doesn't, it can't be an identity!

Let's start with c, just because it seems obvious.
The Pythagorean identity states that sin²x + cos²x = 1, so this same statement with a minus is obviously not true.

Next would be d. csc²x + cot²x = 1 is not true because of a similar Pythagorean identity 1 + cot²x = csc²x. (if you need help remembering these identites, do yourslef a favor and search up the Magic Hexagon.)

Next is b. Here we have (cscx + cotx)² = 1. Let's take the square root of each side...cscx + cotx = 1. Now you should be able to see why this can't work as a Pythagorean Identity. There's always that test we can do for verification...5/3 + 3/4 ≠ 1, nor is (5/3 +  3/4)².

By process of elimination, a must be true. You can test w/ our example ratios:
sin²xsec²x+1 = tan²xcsc²x
(3/5)²(5/4)²+1 = (4/5)²(5/3)²
(9/25)(25/16)+1 = (16/25)(25/9)
(225/400)+1 = (400/225)
(9/16)+1 = (16/9)
(81/144)+1 = (256/144)
(81/144)+(144/144) = (256/144)
(256/144) = (256/144)
5 0
2 years ago
Sarah has gone to work for 60 days on 39 of those days she arrived at work before 8:30 a.m. On the rest of those days she arrive
Ann [662]
60 - 39 = 21
21 / 60 = 7 / 20

7/20

5 0
3 years ago
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