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2 years ago

Find the value of the variable.

Mathematics

1 answer:

Marrrta [24]2 years ago

5 0

Set the 2 problems equal to each other and then slice for x.
And x is 58

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here are five rods a-1 a a a a+3 all measurements are in cm the total length of the five rods is l cm find a formula for l in te

Elenna [48]

Answer:

$I=5a+2$ (simplified form)

Step-by-step explanation:

I is the total length of all the 5 rods.

Each of the 5 parts lengths are $(a-1), a, a, a, (a+3)$ , respectively.

We add all of them and equate it to I:

$I=(a-1)+a+a+a+(a+3)$

Simplifying this, we take like terms and add:

$I=(a-1)+a+a+a+(a+3)\\I=5a-1+3\\I=5a+2$

5 0

3 years ago

Find the work W done by a force of 7pounds acting in the direction 30 degreesto the horizontal in moving an object 7feet from (0

Vikki [24]

Answer:

The work done by the force is 42.4 Joules

Step-by-step explanation:

The force F = 7 pounds

angle to the horizontal that the force acts ∅ = 30°

The object is moved a distance d = 7 feet

The coordinate (0 comma 0 )to (7 comma 0 ), indicates that the movement started from the origin, and is along the x-axis.

The work done by this force = F cos ∅ x d

==> 7 cos 30° x 7

==> 7 x 0.866 x 7 = 42.4 Joules

5 0

2 years ago

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inc

kozerog [31]

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that $\dfrac{AD}{DB}=\dfrac{AE}{EB}$

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

$\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8$

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

8 0

2 years ago

Read 2 more answers

Look at this graph: y : Is this relation a function? yes no Submit

iren [92.7K]

Answer:

Yes

Step-by-step explanation:

3 0

2 years ago

Trina ran 2 1/2 miles of Friday, 2 3/4 miles on Saturday and 3 mies on SUnday. The next week she ran the same amount. How far in

vodka [1.7K]

Answer:

16 $\frac{1}{2}$ miles

Step-by-step explanation:

2 $\frac{2}{4}$ + 2 $\frac{3}{4}$ = 4 $\frac{5}{4}$ which equals 4 + 1 $\frac{1}{4}$ or 5 $\frac{1}{4}$

5 $\frac{1}{4}$ + 3 = 8 $\frac{1}{4}$

she ran 8 and one-quarter miles in the first week and if she ran the same amount the second week then we can add to get the answer:

8 $\frac{1}{4}$ + 8 $\frac{1}{4}$ = 16 $\frac{2}{4}$ or 16 $\frac{1}{2}$

5 0

2 years ago