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MA_775_DIABLO [31]
3 years ago
9

Round 990.54 nearest hundred​

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

991 is the correct answer

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Emily Elizabeth has $1.50 in dimes and nickels. She has 22 coins in all. How many nickels does she have?
Marat540 [252]

Answer:

14

Step-by-step explanation:

We can set up the following system of equations:

\begin{cases}10d+5n=150\\d+n=22\\\end{cases}, where d is the number of dimes she has and n is the number of nickels she has.

Multiplying the second equation by -5 and adding both equations lets us isolate and solve for d:

10d+5n+(-5(d+n))=150+(-5(22)),\\5d=40,\\d=8

Plugging d=8 into any of the two equations will let us solve for n:

8+n=22,\\n=\fbox{$14$}.

Therefore, she has 14 nickels.

6 0
3 years ago
The measure of angle 1 is 3x + 10 and the measure of angle 4 is (4x-15). What is the measure of angle 7
Alex_Xolod [135]
<u><em>Answer:</em></u>
∠7 = 95°

<u><em>Explanation:</em></u>
<u>1- getting the value of x:</u>
In the given figure, angle 1 and angle 4 are vertically opposite angles.
Therefore, they are equal in measurement
This means that:
3x + 10 = 4x - 15
4x - 3x = 10 + 15
x = 25

<u>2- getting the value of angle 4:</u>
We know that:
x = 25 and ∠4 is 4x-15
This means that:
∠4 = 4(25) - 15
∠4 = 85°

<u>3- getting the value of ∠6:</u>
From the given figure, we can see that ∠4 and ∠6 are supplement angles, this means that their summation is 180°.
We have calculated that ∠4 is 85°, therefore:
180 = ∠4 + ∠6
∠6 = 180 - ∠4
∠6 = 180 - 85
∠6 = 95°

<u>4- getting the value of angle 7:</u>
From the drawing, we can note that ∠6 and ∠7 are vertically opposite angles. This means that they are equal in measurements.
Therefore:
∠7 = ∠6 = 95°

Hope this helps :)
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4 years ago
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Answer:

THX FOR FREE POINT

Step-by-step explanation:

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Answer:

It is only 13

Step-by-step explanation:

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The parametric curve described by the equations x=\cos(t),\;\;y=\sin(t)\cos(t) has two tangent lines at (0, 0). find the equatio
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Hello,

x=cos(t)==\ \textgreater \  \dfrac{dx}{dt} =-sin(t)\\&#10;y= \dfrac{sin(2t)}{2}==\ \textgreater \  \dfrac{dy}{dt} =cos(2t)\\&#10;&#10; \dfrac{dy}{dx} = \dfrac{ \frac{dy}{dt}}{ \frac{dx}{dt} } =- \frac{cos(2t)}{sin(t)} \\&#10;For\ x=0, \ t=cos(0)= \frac{ \pi }{2} +k \pi \\&#10;&#10;( \dfrac{dy}{dx} )_{x=0} =\pm\ 1\\&#10;&#10;tangents \ are\ \{ y=-x,y=x \}\\&#10;&#10;

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