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ira [324]
3 years ago
5

Here it is jaded :):)

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

9.03 = x

Step-by-step explanation:

Since we have the Hypotenuse given and we need to find the value of the adjacent side of the given angle we would use the Cosine Ratio;

Cos(46) = \frac{x}{13}

To solve for "x" we would first have to isolate the "x" all to itself.

To isolate the variable, simply multiply 13 to the both sides of "="

=> Cos(46) * 13 = x

=> 9.03 = x

So you can write the answer in either of the 2 ways mentioned above, if you need a fully simplified answer the second answer would be a better fit. If u just need the Equation the 1st equation would be the better fit.

Hope this helps!

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Write the slope-intercept form of the line passing through (–8, –5) and (4, 4).
lawyer [7]

Answer:

\Huge \boxed{y=\frac{3}{4} x+1}

\rule[225]{225}{2}

Step-by-step explanation:

We can find the slope through two points.

m = (y2 - y1)/(x2 - x1)

m = (4 - -5)/(4 - -8)

m = 9/12 = 3/4

The slope of the line is 3/4.

Slope-intercept form of a line is y=mx+b. Where m is the slope and b is the y-intercept.

y = 3/4x + b

A point on the line is (4, 4). x = 4 and y =4.

4 = 3/4(4) + b

4 = 3 + b

b = 1

The y-intercept is 1.

\rule[225]{225}{2}

4 0
4 years ago
Read 2 more answers
Type no, one, or infinite to complete the statement. Type only lowercase letters. Do not type spaces in your answer. 3x - 4y = 6
julsineya [31]

Answer:infinite both can e simplifies

Step-by-step explanation:

3 0
3 years ago
What additional information could be used to prove ABC MQR using SAS?
Igoryamba

Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.

From the diagram, it is shown that CA is congruent to RM.

From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

This shows that the first option is correct.

From the second option, given that CB = MQ = 29 cm, then we have CA = RM, CB = MQ, but ACB is not congruent to RMQ.

Thus the second option in not correct.

From the third option, m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60°, but we do not know the value of MRQ.

Thus the third option is not correct.

From the fourth option, m∠R = 60° and AB ≅ MQ, then we have CA = RM, AB = MQ, RMQ = 64°, but we do not know the value of CAB.

Thus the fourth option is not correct.

From the fifth option, AB = QR = 31 cm, then we have CA = RM, AB = QR, but we do not know the value of CAB or MRQ.

Thus, the fifth option is not correct.

Therefore, the additional information that could be used to prove ΔABC ≅ ΔMQR using SAS is m∠A = 64° and AB = MQ = 31 cm

6 0
3 years ago
Number 21. Am I just dumb? I’m thinking it’s 1 or 1600, but I’m not sure lol. Please help with an explanation why!
babunello [35]

The answer is 16. 1% of 1600 is 16. 1% = 0.01. Multiply 0.01 by 1600.


7 0
3 years ago
Read 2 more answers
Match the base and height to the volume of the prism.<br><br> B = 6 square units<br> h = 12 units
Finger [1]

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

--------------------------------------------------------------------------------------------------

7 0
3 years ago
Read 2 more answers
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