1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
poizon [28]
3 years ago
7

2} = \frac{144}{25} " alt=" {x}^{2} = \frac{144}{25} " align="absmiddle" class="latex-formula">
Express your answer as a (fraction), using + if necessary.

Enter your answer in the box.

x = ​

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

Answer:

x²=144/25

x=±12/5

Step-by-step explanation:

Hope it helps u

You might be interested in
Part C
makkiz [27]

a = 1, b =14 and y-coordinate is 6 when x = 0.

Solution:

Let us first write the equation of a line.

Take the points are (2, 2) and (6, 10).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{10-2}{6-2}

$m=\frac{8}{4}

m = 2

Point-slope formula:

y-y_1=m(x-x_1)

y - 10 = 2(x - 2)

y - 10 = 2x - 4

Add 10 on both sides,we get

y = 2x + 6

Equation of a line is y = 2x + 6.

To find (a, 8), substitute x = a and y = 8 in the equation,

8 = 2a + 6

Subtract 6 from both sides, we get

2 = 2a

a = 1

To find (4, b), substitute x = 4 and y = b in the equation,

b = 2(4) + 6

b = 8 + 6

b = 14

Substitute x = o in the equation.

y = 2(0) + 6

y = 6

The y-coordinate is 6 when x = 0.

7 0
3 years ago
Simplify
Gre4nikov [31]

Answer is 81x^5*y^30/125

8 0
3 years ago
Unit 8 right triangles and trigonometry homework 3 similar right triangles and geometric mean
Ugo [173]

The right triangles that have an altitude which forms two right triangles

are similar to the two right triangles formed.

Responses:

1. ΔLJK ~ ΔKJM

ΔLJK ~ ΔLKM

ΔKJM ~ ΔLKM

2. ΔYWZ ~ ΔZWX

ΔYWZ ~ ΔYZW

ΔZWX ~ ΔYZW

3. x = <u>4.8</u>

4. x ≈ <u>14.48</u>

5. x ≈ <u>11.37</u>

6. G.M. = <u>12·√3</u>

7. G.M. = <u>6·√5</u>

<u />

<h3>What condition guarantees the similarity of the right triangles?</h3>

1. ∠LMK = 90° given

∠JMK + ∠LMK  = 180° linear pair angles

∠JMK = 180° - 90° = 90°

∠JKL ≅ ∠JMK All 90° angles are congruent

∠LJK ≅ ∠LJK reflexive property

  • <u>ΔLJK is similar to ΔKJM</u> by Angle–Angle, AA, similarity postulate

∠JLK ≅ ∠JLK by reflexive property

  • <u>ΔLJK is similar to ΔLKM</u> by AA similarity

By the property of equality for triangles that have equal interior angles, we have;

  • <u>ΔKJM ~ ΔLKM</u>

2. ∠YWZ ≅ ∠YWZ by reflexive property

∠WXZ ≅ ∠YZW all 90° angle are congruent

  • <u>ΔYWZ is similar to ΔZWX</u>, by AA similarity postulate

∠XYZ ≅ ∠WYZ by reflexive property

∠YXZ ≅ ∠YZW all 90° are congruent

  • <u>ΔYWZ is similar to ΔYZW</u> by AA similarity postulate

Therefore;

  • <u>ΔZWX ~ ΔYZW</u>

3. The ratio of corresponding sides in similar triangles are equal

From the similar triangles, we have;

\dfrac{8}{10} = \mathbf{ \dfrac{x}{6}}

8 × 6 = 10 × x

48 = 10·x

  • x = \dfrac{48}{10} = \underline{4.8}

3. From the similar triangles, we have;

\mathbf{\dfrac{20}{29}} = \dfrac{x}{21}

20 × 21 = x × 29

420 = 29·x

  • x = \dfrac{420}{29 } \approx \underline{14.48}

4. From the similar triangles, we have;

\mathbf{\dfrac{20}{52}} = \dfrac{x}{48}

20 × 48 = 52 × x

  • x = \dfrac{20 \times 48}{52}  = \dfrac{240}{13}  \approx \underline{18.46}

5. From the similar triangles, we have;

\mathbf{\dfrac{13.2}{26}} = \dfrac{x}{22.4}

13.2 × 22.4 = 26 × x

  • x = \dfrac{13.2 \times 22.4}{26} \approx \underline{ 11.37}

6. The geometric mean, G.M. is given by the formula;

G.M. = \mathbf{\sqrt[n]{x_1 \times x_2 \times x_3  ... x_n}}

The geometric mean of 16 and 27 is therefore;

  • G.M. = \sqrt[2]{16 \times 27}  = \sqrt[2]{432} = \sqrt[2]{144 \times 3} = \mathbf{12 \cdot \sqrt{3}}

  • The geometric mean of 16 and 27 is <u>12·√3</u>

<u />

7. The geometric mean of 5 and 36 is found as follows;

G.M. = \sqrt[2]{5 \times 36}  = \sqrt[2]{180} = \sqrt[2]{36 \times 5} = \mathbf{ 6 \cdot \sqrt{5}}

  • The geometric mean of 5 and 36 is <u>6·√5</u>

Learn more about the AA similarity postulate and geometric mean here:

brainly.com/question/12002948

brainly.com/question/12457640

7 0
2 years ago
Can 4.7 be turned into a fraction
exis [7]

Answer:

Yes! It can

Fraction=4\frac{7}{10}

Decimals can convert into fractions!

4 is the whole number

.70 is

70 out hundredths

7/10 or 7/100

So the fraction would be

4\frac{7}{10}

Hope this helps!

Fishylikeswater

3 0
3 years ago
Read 2 more answers
Do Now: Find the area, 15 cm 13 cm 112 cm 5 cm 9 cm IN A TRIANGLE​
Lilit [14]

Answer:

triangle is a polygon which has three sides and can be categorized into the follow types:

·         An equilateral triangle has equal sides and equal angles.

·         An isosceles triangle has two equal sides and two equal angles.

·         A scalene triangle has three unequal sides and three unequal angles.

·         A right-angled triangle has one right angle (90°).

·         An acute-angled triangle has all angles less than 90°.

·         An obtuse-angled triangle has one angle greater than 90°.



The perimeter of a triangle = Sum of three sides

In the figure alongside of the ΔABC, the perimeter is the sum of AB + BC + AC.

 

Area of a triangle is given by:

A = ½ × Base × Height

Any side of the triangle may be considered as its base.

Then, the length of the perpendicular line from the opposite vertex is taken as the corresponding height or altitude.

In the figure shown above the area is thus given as: ½ × AC × BD.

 

Additional formulas for determining the area of a triangle:

Area of a triangle = √(s(s-a)(s-b)(s-c)) by Heron's Formula (or Hero's Formula), where a, b and c are the lengths of the sides of the triangle, and s = ½ (a + b + c) is the semi-perimeter of the triangle.

 

Area of an equilateral triangle

A= √(3) · ¼ · side, where side = a = b = c

 

Area of an isosceles triangle

A = ¼ ·b · √(4a2 – b2)

 

Area of the right angled triangle

A= ½× Product of the sides containing the right angle.

 

If two sides and the angle between them are given then the area of the triangle can be determined using the following formula:

Area = ½ · a · b · sinC = ½ · b · c · sinA = ½ · a · c · sin B

 

 

Example 1: Find the area of a triangle whose base is 14 cm and height is 10 cm.

Solution:

b = 14 cm

h = 10 cm

A = ½ · 14 · 10 = 70 cm2

 

 

Example 2: Find the area of a triangle whose sides and the angle between them are given as following:

a = 5cm and b = 7cm

C = 45o

Solution:

Area of a triangle = ½ · a · b · sinC

Area = ½ × 5 ×7 × 0.707 (since sin 45 ° = 0.707)

Area = ½ × 24.745 = 12.3725 m2

 

 

Example 3: Find the area (in m2) of an isosceles triangle, whose sides are 10 m and the base is12 m.

Solution:

The area of an isosceles triangle is determined by:

 

A = ¼ ·b · √(4a2 – b2)

A = ¼ ·12 · √(4(10)2 – (12)2)

A = 48 m2

 

 

 

Example 4: Find the area of a triangle whose sides are 8, 9 and 11 respectively. All units are measured in meter (m).

Solution:

Given: sides a = 8, b = 9 and c = 11

According to Heron’s Formula the area of a triangle can be determined using the following formula:

A = √(s(s-a)(s-b)(s-c))

 

First of all, we need to determine the s, which is the semi-perimeter of the triangle:

s = ½ (a + b + c) = ½ (8 + 9 + 11) = 14

 

Now by inserting the value of the semi-perimeter into the Heron’s formula we can determine the area of the triangle:

 

A = √(s · (s-a) · (s-b) · (s-c))

A = √(14 · (14-8) · (14-9) · (14-11))

A = √(1260 ) = 35.50 m2

 

 

Example 5: Farmer Munnabhai owns a triangular piece of land. The length of the fence AB is 150 m. The length of the fence BC is 231 m. The angle between fence AB and fence BC is 123º.

How much land does Farmer Munnabhai own?

Solution: First of all we must decide which lengths and angles we know:



AB = c = 150 m

BC = a = 231 m

and angle B = 123º

 

To determine the area of the land, we can use the following formula:

 

Area = ½ · c · a · sin B

Area = ½ ×150 × 231 × sin(123º )

Area = 17,325 ×0.8386

Area = 14,529 m2

 

Therefore, farmer Munnabhai has 14,529 m2 of land.

6 0
3 years ago
Other questions:
  • Colin put some buttons on a table. There were 4 blue buttons, 5 red buttons, 7 tan buttons, and 8 white buttons. Colin's cat jum
    15·2 answers
  • Explain the process for finding the product of two integers.
    14·1 answer
  • Jade has 3 bags of apples. There are 6 apples in each bag. How many apples does she have?
    11·2 answers
  • What is 100,203 in word form
    12·2 answers
  • I keep getting 13.4 which I'm not sure is right. ​
    5·2 answers
  • ben used 124.7 pounds of gravel in his front yard 110.7 pounds in his back yard.how many more pounds of gravel does ben use in h
    8·1 answer
  • Please help, it would mean the world
    8·1 answer
  • 4 less than half a number is 21
    14·2 answers
  • What is the additive inverse of -2 + 8i?
    9·1 answer
  • Select all the values that are SOLUTIONS to the inequality.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!