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joja [24]
3 years ago
9

Sun estimated the quotient of –23.514 and –3.98 by rounding each to the nearest integer. Which equation shows the correct estima

tion? Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8
Mathematics
2 answers:
sveticcg [70]3 years ago
5 0

Answer:Negative 23.514 divided by negative 3.98 Negative 24 divided by negative 4 = 6 Negative 24 divided by 4 = negative 6 24 divided by 3 = 8 24 divided by negative 3 = negative 8

Step-by-step explanation:

Minchanka [31]3 years ago
4 0

Answer: -8

Step-by-step explanation:

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Can someone please help me with this? I’ve been struggling with this question for a while and is due soon! I’ll give brainliest
Fofino [41]

Answer: See below

Step-by-step explanation:

The transformation from triangle LMN to triangle L'M'N' is the reflection about the line y =x.

The line segment from L to y=x and the line segment from L' to line y=x are congruent.

Yes, we will get the same characteristic if we draw a line from point M to y=x and the line  from M' to y=x.

It is because points P', M' and N' are reflections of points P, M, and N respectively about the line y=x.

Graph 1 (attached as first picture)

Graphing a triangle LMN and reflecting it over the line y = x to create triangle L'M'N, we have:

The transformation from triangle LMN to triangle L'M'N' is the reflection about the line y =x.

Drawing a line from point L to the line y=x and from line L' to line y=x we have:

Graph 2 (attached as second picture)

The line segment from L to y=x and the line segment from L' to line y=x are congruent.

Yes, we will get the same characteristic if we draw a line from point M to y=x and the line  from M' to y=x.

It is because points P', M' and N' are reflections of points P, M, and N respectively about the line y=x.

4 0
2 years ago
What is the volume of the right rectangular prism?
Zepler [3.9K]

Answer:

Volume = 308cm^{3}

Step-by-step explanation:

Volume of a rectangular prism = Height * Width * Depth

Sub in the three values and solve

V = 11 * 7 * 4

V = 308cm^{3}

8 0
3 years ago
Consider the case of a triangle with sides 5, 12, and the angle between them 90°.
Daniel [21]

Answer:

a) Applying Pithagoras Theorem

b) Trigonometric relations

c) No we can not

d) No we can not

e) See step-by-step explanation

f) See step-by-step-explanation

Step-by-step explanation:

a) The easiest method for calculating the missing side is applying Pithagoras Theorem

c²  =  a²  +  b²

c²  =  (5)²  +  (12)²      ⇒  c²  = 25 + 144    ⇒ c²  =  169    ⇒  c  = 13

b) The easiest method to find the missing angles, is to calculate the sin∠ and then look for arcsin fuction in tables.

sin ∠α = 5/13    sin ∠α = 0.3846    ⇒      arcsin (0.3846 )   α  = 23⁰

Now we can either get the other angle subtracting 180 - 90 - 23 = 67⁰

Or calculating sinβ = 12 /13    sinβ = 0.9230  arcsin(0.9230)   β = 67⁰

c) The law of cosines should not be applied to right triangles, in fact for instance in our particular case we have:

Question a)

c²  = a² + b² - 2*a*b*cos90⁰   (law of cosines ) but cos 90⁰ = 0

then c²  = a² + b² which is the expression for theorem of Pithagoras

In case you look for calculating the missing angles

c²  = a²  +  b²  - 2*5*13*cos α

169 = 25  +  144 - 2*5*13* cos α

As you can see 169 - 25 - 144 = 0

Then we can not  apply law of cosine in right triangles, we shoul apply trigonometric relations and Pithagoras theorem, and as we saw you can get the expression of Pithagoras theorem from cosine law

c²  =  a²  +  b²  - 2*a*b*cos∠90°    cos ∠ 90°  = 0

Then     c²  =  a²  +  b²

3 0
3 years ago
6.What is the radius of the circle?
sladkih [1.3K]

Answer:

Radius is half the diameter of a circle

Step-by-step explanation:

If the diameter was 6, then the radius is 3

6 0
3 years ago
Tiffany is constructing a fence around a rectangular tennis court. She must use exactly 300 feet of fencing. The fence must encl
Anni [7]

Answer:

5600 square feet is the area.

Step-by-step explanation:

Perimeter will be = 300 feet

Length of the fence enclosure must be at least 80 feet.

Width of the fence enclosure must be at least 40 feet.

Let x be the length and y be the width of the court.

We get following constraints:

x \geq 80

y \geq 40

If we calculate the area, we get xy \geq3200

And for the perimeter we get: 2x+2y=300  

⇒ x+y= 150

Now look at the graph attached, we get point (80,70) as the possible solution.

So, the maximum area occurs when the dimensions are 80 feet by 70 feet.

5 0
3 years ago
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