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3 years ago

Find the length of the leg of the right triangle leave your answer in simplest radical form

Mathematics

1 answer:

erastova [34]3 years ago

7 0

Answer:

a =12*sqrt(2)

Step-by-step explanation:

3. The Pythagorean theorem states

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +21^2 = 27^2

a^2 +441 =729

Subtract 441 from each side

a^2 +441-441 = 729 -441

a^2 =288

Take the square root of each side

sqrt(a^2) = sqrt(288)

sqrt(xy) = sqrt(x)sqrt(y)

a = sqrt(144)sqrt(2)

a =12*sqrt(2)

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Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line ali

VLD [36.1K]

Answer:

$x=35^\circ$

Step-by-step explanation:

From the diagram which I have drawn and attached below:

$56^\circ+y+51^\circ=180^\circ$ (Sum of Angles on a Straight Line)\\y=180^\circ-(56^\circ+51^\circ)\\y=73^\circ$

Next, in the triangle, the sum of the three interior angles:

$y+x+72^\circ=180^\circ\\$Since y=73^\circ\\73^\circ+x+72^\circ=180^\circ\\x=180^\circ-(73^\circ+72^\circ)\\x=35^\circ$

The value of angle x is 35 degrees.

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3 years ago

$300 at 6% for 3 years

Charra [1.4K]

Its I=prt
so plug it in
I=300(.06)3 i got .06 because you have 6% you have to move the decimal the left twice 0.06 is what you get
now its basic multiplying
300 times .06 times 3
so it would be 54
I=$54
the balence you get from adding the P to the I so the balence would be 356
Bal=$356

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3 years ago

A circle had a circumference of 28.26 units what is the diameter of the circle

kolezko [41]

Answer:

Step-by-step explanation:

3.14 divided by 28.26 = 9

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3 years ago

The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5

Ket [755]

Answer:

since p value < x(0.05) so we reject the null hypothesis

step 5 ( conclusion)

reject the null hypothesis and there is sufficient evidence to support the claim that the true average percentage differs from 5.5.

Step-by-step explanation:

check the attachment for detailed explanation

3 0

3 years ago

Read 2 more answers

3. Complete the proof below.<br><br><br> Help please!!!

baherus [9]

Answer:

The completed proof is presented as follows;

The two column proof is presented as follows;

Statements ${}$ Reason

1. $\overline {HI}$ ║ $\overline {KL}$ , J is the midpoint of $\overline {HL}$ ${}$ 1. Given

2. ∠IHJ ≅ ∠JLK ${}$ 2. Alternate angles are congruent

3. ∠IJH ≅ ∠KJL ${}$ 3. Vertically opposite angles

4. $\overline {HJ}$ ≅ $\overline {JL}$ ${}$ 4. Definition of midpoint

5. ΔHIJ ≅ ΔLKJ ${}$ 5. By ASA rule of congruency

Step-by-step explanation:

Alternate angles formed by the crossing of the two parallel lines $\overline {HI}$ and $\overline {KL}$ , by the transversal $\overline {HL}$ are equal

Vertically opposite angles formed by the crossing of two straight lines $\overline {IK}$ and $\overline {HL}$ are always equal

A midpoint divides a line into two equal halves

Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK ${}$ in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent $\overline {HJ}$ ≅ $\overline {JL}$ , then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.

5 0

3 years ago