there are a total of 127 cars and trucks on a lot. If there are four more than twice the number of trucks than cars , how many cars and trucks are on the lot ?

Answers

Answer 1

Answer: c + t = 127 ;
t = 2c + 4;
then, c + 2c + 4 = 127;
3c = 123;
c = 123 / 3 ;
c = 41 ( cars )
t = 2 * 41 + 4 = 88 ( trucks ).

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What is the perimeter of a triangle with vertices located at (-1, 4), (2, 7), and (1, 5), rounded to the nearest hundredth? A. 7.63 units B. 7.89 units C. 8.71 units D. 9.24 units

Answers

we are given with the points (-1,4), (2,7) and (1,5) as the sides of the triangle. The area of the triangle can be determined by determining first the length of the sides. Via distance formula, the sides are 3 sqrt 2, sqrt 5 and sqrt 5. The perimeter thus is equal to 8.71 units

The perimeter of a triangle with vertices located at (-1, 4), (2, 7), and (1, 5) is 8.71 units

How to determine the perimeter?

The coordinates are given as:

(-1, 4), (2, 7), and (1, 5)

Calculate the distance between these points using:

$d = √((x_2 -x_1)^2 + (y_2 - y_1)^2)$

So, we have:

$AB = √((-1 -2)^2 + (4 - 7)^2) = 4.24$

$BC = √((2-1)^2 + (7 - 5)^2) = 2.24$

$AC = √((-1-1)^2 + (4 - 5)^2) = 2.24$

The perimeter P is then calculated using:

P = 4.24 + 2.24 + 2.24

Evaluate the sum

P = 8.71

Hence, the perimeter of the triangle is 8.71 units

Answers

These are all possible combinations:
1 , 1 , 13 , 15
1 , 3 , 11 , 15
1 , 3 , 13 , 13
1 , 5 , 9 , 15
1 , 5 , 11 , 13
1 , 7 , 7 , 15
1 , 7 , 9 , 13
1 , 7 , 11 , 11
1 , 9 , 9 , 11
3 , 3 , 9 , 15
3 , 3 , 11 , 13
3 , 5 , 7 , 15
3 , 5 , 9 , 13
3 , 5 , 11 , 11
3 , 7 , 7 , 13
3 , 7 , 9 , 11
3 , 9 , 9 , 9
5 , 5 , 5 , 15
5 , 5 , 7 , 13
5 , 5 , 9 , 11
5 , 7 , 7 , 11
5 , 7 , 9 , 9
7 , 7 , 7 , 9

There can be a lot many solutions for the above question
some of them are
9+11+5+5=30
it can also be solved as
15+5+5+5=30
also
13+7+5+5=30

What is the exact volume of the cone Height of 10 cm and a radius of 4 cm

Answers

V = 167.55 $cm^(3)$

Read the complete problem before answering. Tang bought m of rope. Rope costs $1.30 a meter. How much did Tang spend? A student solved the problem this way. m = 1.5 m Let n represent the amount Tang paid for rope. n = 1.5 × $1.30 n = $1.95 Tang spent $1.95. Use a similar strategy to solve this problem. Jeff bought yards of blue denim and yards of black denim. Denim cost $4.30 a yard. How much did Jeff spend on denim? A. $3.50 B. $7.80 C. $12.90 D. $15.05

Answers

You would do 4.30*(how many yards) which would equal the total price. But I cannot solve it for you seeing as the question lacks the necessary information.

Which functions are symmetric with respect to the origin?y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx

Answers

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

$\rm y = sin^(-1)(0)=0$

$\rm y = cos^(-1)(0)=1.57$

Step 3 - Substitute (x = 0) in option b), that is:

$\rm y = cos^(-1)(0)=1.57$

$\rm y = tan^(-1)(0)=0$

Step 4 - Substitute (x = 0) in option c), that is:

$\rm y = tan^(-1)(0)=0$

$\rm y = cot^(-1)(0)=1.57$

Step 5 - Substitute (x = 0) in option d), that is:

$\rm y = tan^(-1)(0)=0$

$\rm y = sin^(-1)(0)=0$

For more information, refer to the link given below:

brainly.com/question/13710437

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0, arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2) y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds:f(t) = −16t2 + 48t + 100

The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.

Answers

$f(t) = -16t^(2) +48t + 100$
Average rate of change from t = 3 seconds to t = 5 seconds = $(f(5)-f(3))/(5-3) = ((-16( 5^(2))+48(5)+100)-(-16( 3^(2))+48(3)+100 )/(2)=$ $((-16(25)+240+100)-(-16(9)+144+100))/(2) = ((-400+240+100)-(-144+144+100))/(2)=$ $(-60-100)/(2) = (-160)/(2) = -80$

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