All categories

3 years ago

Which missing side length makes the perimeter , p = 26 feet true?

Mathematics

2 answers:

Vadim26 [7]3 years ago

6 0

P of a rectangle = 2(l+w)
l=3
p=26

26 = 2(3+w)
26 = 6 + 2w
20 = 2w

w=10

Anastaziya [24]3 years ago

4 0

If the width is 3 on each side, that is 3 + 3 = 6.
26 - 6 = 20.
There are two sides left: 20 divided by 2 = 10.
10+10+3+3 = 26.
The length is 10.

You might be interested in

the velocity of s free fall object is given by v=√2gh where v is the velocity (m/s) g is acceleration due to gravity (m/s^2), an

Ivenika [448]

<h3>Therefore 45.87 m from which the object was dropped.</h3>

Step-by-step explanation:

Given , the velocity of free fall object is given by $v = \sqrt{2gh}$ where v is the velocity (m/s) g is acceleration due to gravity (m/s²) and h is the the distance (m) fallen.

v = 30 m/s

g = 9.81 m/s²

$v = \sqrt{2gh}$

⇔v² = 2gh [ squaring both sides]

$\Leftrightarrow h =\frac{v^2}{2g}$

$\Leftrightarrow h =\frac{30^2}{2 \times 9.81}$

$\Leftrightarrow h = 45.87$

Therefore 45.87 m from which the object was dropped.

5 0

3 years ago

In triangle JKL, tan(b°) = 3/4 and cos(b°) =4/5. If triangle JKL is dilated by a scale factor of 1/2, what is sin(b°)?

zysi [14]

Answer:

$\sin (b^\circ)=\dfrac{3}{5}$ .

Step-by-step explanation:

It is given that,

$\tan (b^\circ)=\dfrac{3}{4}$

$\cos (b^\circ)=\dfrac{4}{5}$

If a figure is dilated, then the image is similar to the figure. It means the corresponding angles of figure and image are congruent.

So, the value of sin(b°) after dilation is equal to the value of sin(b°) before dilation.

We know that,

$\dfrac{\sin \theta}{\cos \theta}=\tan \theta$

$\dfrac{\sin (b^\circ)}{\cos (b^\circ)}=\tan (b^\circ)$

$\sin (b^\circ)=\tan (b^\circ)\times \cos (b^\circ)$

$\sin (b^\circ)=\dfrac{3}{4}\times \dfrac{4}{5}$

$\sin (b^\circ)=\dfrac{3}{5}$

Therefore, $\sin (b^\circ)=\dfrac{3}{5}$ .

5 0

4 years ago

Prove algebraically that the difference between the squares of any two consecutive integers is equal to the sum of these two int

daser333 [38]

Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.

The statement wants us to prove;

(x+1)²-x²=x+(x+1) <-- solve left hand side

x²+x+x+1²-x²
2x+1 (solution for left hand side)

Now solve for right hand side.

x+(x+1)= 2x+1

As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.

Hope I helped :)

5 0

4 years ago

Which of the following is the correct ratio for Sine?

Lady_Fox [76]

Answer:

Sin = Opp/Hyp

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Pls answer attached question

BartSMP [9]

Answer:

It's a horizontal line passing through 4 on the y-axis.

Simply place a ruler at 4 and draw a straight line from left to right, which passing through the number 4.

6 0

3 years ago