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3 years ago

45/19 as a decimal rounded to the nearest tenth

Mathematics

2 answers:

Maslowich3 years ago

8 0

Answer:

Step-by-step explanation:

45/19 ~ 2.4

Hope that helps!

vova2212 [387]3 years ago

3 0

Answer:

2.4

Step-by-step explanation:

45/19 = 2.4

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What is four times a number, minus 8, is equal to three times the number, plus 9

Mekhanik [1.2K]

4x-8=3x+9, I think that's the answer

4 0

3 years ago

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

wel

Answer:

$z=\frac{15\sqrt{3}}{2}$

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

$tan(60)=\frac{y}{a}$

now, we can solve for y

$y=atan(60)$

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

$tan(30)=\frac{y}{15-a}$

now, we can solve for y

$y=(15-a)tan(30)$

now, we can set them equal

and then we can solve for a

$atan(60)=(15-a)tan(30)$

$\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3$

$4\sqrt{3}a=15\sqrt{3}$

$a=\frac{15}{4}$

now, we can find b

$b=15-\frac{15}{4}$

$b=\frac{45}{4}$

now, we can use trig formula

$cos(30)=\frac{b}{z}$

now, we can find z

$z=\frac{\frac{45}{4}}{cos(30)}$

we can simplify it

and we get

$z=\frac{15\sqrt{3}}{2}$

4 0

3 years ago

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1

natali 33 [55]

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(-5-(-2))^2+(3-1)^2}$

$r=\sqrt{(-5+2)^2+(2)^2}$

$r=\sqrt{(-3)^2+(2)^2}$

On further simplification, we get

$r=\sqrt{9+4}$

$r=\sqrt{13}$

The standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and $r=\sqrt{13}$ .

$(x-(-2))^2+(y-1)^2=(\sqrt{13})^2$

$(x+2)^2+(y-1)^2=13$

Therefore, the equation of the circle is $(x+2)^2+(y-1)^2=13$ .

8 0

3 years ago

Pls say hard very hard

Simora [160]

(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.

(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?

On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:

50 ≤ score ≤ 60 ==> 50-60

60 < score ≤ 70 ==> 60-70

70 < score ≤ 80 ==> 70-80

80 < score ≤ 90 ==> 80-90

90 < score ≤ 100 ==> 90-100

Then a student who scored a 60 should be added to the 50-60 category.

8 0

2 years ago

Please I need help. <br> Find the value of u.

seropon [69]

Answer:

62 is the answer.

Step-by-step explanation:

I hope this helps you.

8 0

2 years ago