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2 years ago

What is the length of the diagonal?

Mathematics

1 answer:

Juliette [100K]2 years ago

6 0

Answer:

The value of <em>x </em>is equal to 26 cm.

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this problem.

$a^2+b^2=c^2$

$a=10\\b=24\\c=?$

$10^2+24^2=c^2$

$100+576=c^2$

$676=c^2$

$\sqrt{676} =\sqrt{c^2}$

$26=c$

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Plot two points that are 777 units from Point \blueD{D}Dstart color #11accd, D, end color #11accd and also share the same xxx-co

Karolina [17]

Right format of question:

Plot two points that are 7 units from Point D and also share the same x-coordinate as Point D.

Answer:

$D' = (-4,-6)$ and $D' = (-4,8)$

Step-by-step explanation:

Given

$D(x,y) = (-4,1)$

Required

Determine a point 7 points from D and in the same x coordinate

Represent this point with D'.

From the requirement of the question, D' has two possible values and these values are:

$D' = D(x,y-7)$ ----> 7 units down and

$D' = D(x,y+7)$ ----> 7 units up

Substitute values for x and y in $D' = D(x,y-7)$ and $D' = D(x,y+7)$

So, we have:

$D' = D(x,y-7)$

$D' = (-4,1 - 7)$

$D' = (-4,-6)$

$D' = D(x,y+7)$

$D' = (-4,1+7)$

$D' = (-4,8)$

3 0

3 years ago

Hans is choosing a 2- letter password from the letters A, B, C, D, and E. The password cannot have the same letter repeated in i

Alika [10]

There are 5 letters

there are 5 possibilities for the first letter, and 4 possibilities for the second letter after the first letter is used up

so 5 * 4 = 20 possibilities

3 0

3 years ago

Read 2 more answers

Given: PS=RT, PQ=ST<br> Prove: QS=RS

ivanzaharov [21]

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

5 0

2 years ago

A truck cost $21,000.00 with an estimated salvage value of $1,000.00. It has an estimated useful life of 5 years. If the truck w

taurus [48]

Straight line depreciation applies the same amount of depreciation in each year.
Our Depreciation Base is 21,000 - 1,000 = 20,000
The useful life is 5 years, so each year we depreciate 20,000 ÷ 5 = 4,000

Book Value is Cost - Accumulated Depreciation
After Year 1:
Book Value = 21,000 - 4,000 = 17,000

Answer is A) 17,000

6 0

3 years ago

Which best describes this quadrilateral?

yulyashka [42]

B. All sides are the same length

3 0

3 years ago