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4 years ago

Holden drove 110 miles in 2 3/4 hours. What was Holden's speed in miles per hour?

Mathematics

1 answer:

bazaltina [42]4 years ago

8 0

Answer:

Holden's seed is 40 miles per hour

Step-by-step explanation:

The given parameters are;

The distance Holden drove = 110 miles

The time duration in which Holden drove = 2 and 3/4 hours = 11/4 hours = 2.75 hours

Therefore, Holden's speed, s, can be found from the relationship;

Speed, s = Distance/time = 110 miles/(11/4 hours) = 40 miles per hour

Holden's seed = 40 miles per hour.

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Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.Find the measure of

tekilochka [14]

a = (90-a)/2 - 18

this means that the angle equals half its complement minus 18 degrees.

this means the same as the angle equals 18 degrees less than half its complement.

solve for a.

equation is:

a = (90-a)/2 - 18

simplify by removing parentheses to get:

a = 90/2 - a/2 - 18

simplify further to get:

a = 45 - a/2 - 18

combine like terms to get:

a = 27 - a/2

add a/2 to both sides to get:

a + a/2 = 27

multiply both sides of the equation by 2 to get:

2a + a = 54

combine like terms to get

3a = 54

divide both sides of the equation by 3 to get:

a = 18

your answer should be that the angle is equal to 18 degrees.

if the angle is 18 degrees, then its complement is equal to 90 - 18 = 72 degrees.

half its complement is equal to half of 72 is equal to 36 degrees

18 degrees less than that is equal to 36 - 18 is equal to 18 degrees.

Your answer is that the measure of the angle is 18 degrees.

4 0

3 years ago

32,111÷181= whats is the remainder

Mrrafil [7]

The answer would be 177.4

7 0

3 years ago

e vertices of a rectangle are R(-5,-5), S(-6,-5),T(-1,1),U(-5,1) a translation maps R to the point (2,-9)

Tema [17]

Answer:

The rule of translation : $(x,y)\rightarrow (x+7,y-4)$

The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

Step-by-step explanation:

The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).

It is given that a translation maps R to the point (2,-9).

Difference between x-coordinates:

$-5-2=-7$

Difference between y-coordinates:

$-5-(-9)=-5+9=4$

The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.

The rule of translation is

$(x,y)\rightarrow (x+7,y-4)$

The vertices of image are

$R(-5,-5)\rightarrow R'(-5+7,-5-4)=R'(2,-9)$

$S(-6,-5)\rightarrow S'(-6+7,-5-4)=S'(1,-9)$

$T(-1,1)\rightarrow T'(-1+7,1-4)=T'(6,-3)$

$U(-5,1)\rightarrow U'(-5+7,1-4)=U'(2,-3)$

Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

7 0

3 years ago

Simplify x^1/3(x^1/2+2x^2)

Marizza181 [45]

Answer:

$x^{5/6 } + 2\cdot x^{7/3}$

Step-by-step explanation:

Let be $x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})$ , which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification: