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3 years ago

The sum of 32 and what number is 105

Mathematics

1 answer:

natta225 [31]3 years ago

4 0

32+n=105
32-32+n=105-32
n=73

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The expression 1/2mv^2<br> M=1.6x10^3<br> V=3.4x10^3

mariarad [96]

Answer:

Step-by-step explanation:

hello :

The expression 1/2mv^2

M=1.6x10^3

V=3.4x10^3

is : 1/2(1.6x10^3 )(3.4x10^3)²=2.72x 10^9

8 0

3 years ago

Robert and Chris can skate 4 miles in 18 minutes. How far can they ride in 45 minutes?

adell [148]

Answer: Robert and Chris can skate 10 miles in 45 minutes.

Step-by-step explanation:

Let's start by finding the unit rate.

$\frac{4}{18} =\frac{2}{9} \\\frac{18}{18} =1$

Robert and Chris can skate $\frac{2}{9}$ of a mile in 1 minute. Now we can multiply both by 45 to see how far the can go in 45 minutes.

$(\frac{2}{9}) (\frac{45}{1} )\\\frac{(2)(45)}{(9)(1)} \\\frac{90}{9} \\10$

45x1=45

The can skate 10 miles in 45 minutes.

6 0

3 years ago

Consider the proof. Given: In △ABC, BD ⊥ AC Prove: the formula for the law of cosines, a2 = b2 + c2 – 2bccos(A) Statement Reason

loris [4]

Solution: The missing reason in Step 8 is substitution of $x=c\cos (A)$ .

Explanation:

The given steps are used to prove the formula for law of cosines.

From step 5 it is noticed that our equation is

$a^2=b^2-2bx+c^2$ ..... (1)

From step 7 it is noticed that the value of $x$ is $c\cos (A)$ .

So by substituting $c\cos (A)$ for $x$ in equation (1) we get the equation of step 8, i.e.,

$a^2=b^2-2bc\cos (A)+c^2$

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5 0

3 years ago

Read 2 more answers

Help how do i solve this

n200080 [17]

For 26
ST is = TU

27
2x-1=15
2x=16
X=8

4 0

3 years ago

Write the equation of the line in fully simplified slope-intercept form.

fiasKO [112]

$y = -\frac{1}{2}x - 1$

Step-by-step explanation:

Let's pick two points on the line: $P_1(-4, 1)$ and $P_2(2, -2).$ Let's calculate the slope of this line using these points:

$m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-2 - 1}{2 - (-4)} = -\dfrac{1}{2}$

With this value of the slope, we can write the general slope-intercept form of the equation as

$y = -\frac{1}{2}x + b$

To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:

$-2 = -\frac{1}{2}(2) + b \Rightarrow b = -1$

Therefore, the slope-intercept form of the equation is

$y = -\frac{1}{2}x - 1$

6 0

2 years ago