Find the missing side lengths.

Answer:

i > 3u

Step-by-step explanation:

Let's solve for i.

9x−7i<3(3x−7u)

Step 1: Add -9x to both sides.

−7i+9x+−9x<−21u+9x+−9x

−7i<−21u

Step 2: Divide both sides by -7.

−7i ÷ -7 = -21u ÷ -7

Answer

i>3u

Answer:

i) c. 1,08,00,000 cm³

ii) c. 1687.5 cm³

iii) b. 6400

Q.3) Suface area of cube is 294 cm².

Step-by-step explanation:

Q.2. 12 men are building a wall which is 8 m long, 6 m high and 22.5 cm thick using bricks. On this basis answer the following.

i. Find the volume of the cuboidal wall.

Substituting all the given values in the formula to find volume of cuboidal wall :

[tex] \begin{gathered}\qquad{\longrightarrow{\sf{V = LBH}}} \\ \\ \qquad{\longrightarrow{\sf{V = L \times B \times H}}} \\ \\ \qquad{\longrightarrow{\sf{V = 800 \times 600 \times 22.5}}} \\ \\ \qquad{\longrightarrow{\sf{V = 480000 \times 22.5}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\red{V = 1,08,00,000 \: {cm}^{3}}}}}}} \end{gathered}[/tex]

Hence, the volume of cuboidal wall is 1,08,00,000 cm³.

———————————————————————

ii. If the dimension of each brick is 25 cm × 11.25 cm × 6 cm, then find the volume of the brick.

Substituting all the given values in the formula to find the volume of cuboidal brick :

[tex] \begin{gathered}\qquad{\longrightarrow{\sf{V = LBH}}} \\ \\ \qquad{\longrightarrow{\sf{V = L \times B \times H}}} \\ \\ \qquad{\longrightarrow{\sf{V = 25 \times 11.25\times 6}}} \\ \\ \qquad{\longrightarrow{\sf{V = 281.25\times 6}}} \\ \\ \qquad{\longrightarrow{\sf{\underline{\underline{\pink{V = 1687.5 \: {cm}^{3}}}}}}} \end{gathered}[/tex]

Hence, the volume of cuboidal brick is 1687.5 cm³.

————————————————————

iii. How many bricks will be required to construct the cuboidal wall.

Substituting all the given values in the formula to find the number of bricks :

[tex] \begin{gathered} \quad{\longrightarrow{\sf{No. \: of \: bricks = \dfrac{Volume \:of \: wall}{Volume \: of \: brick}}}}\\ \\ \quad{\longrightarrow\sf{No.\: of \: bricks = \dfrac{10800000}{1687.5}}} \\ \\ \quad{\longrightarrow{\sf{No. \: of \: bricks = \cancel{\dfrac{10800000}{1687.5}}}}} \\ \\ \quad{\longrightarrow{\sf{\underline{\underline{\purple{No. \: of \: bricks = 6400}}}}}}\end{gathered}[/tex]

Hence, 6400 bricks will be required to construct the cuboidal wall.

———————————————————————

Q.3 The volume of a cube is 343 cm³. Fibd its surface area.

For clear understanding please check the given attachment.

[tex]\rule{300}{2.5}[/tex]

Answer:

x = 7

y = 1

Step-by-step explanation:

[tex]x + y = 6 - - - - - (1)\\ 3x + 5y = 26 - - - - - - (2) \\ \\ \\ from \: equation \: (1) \\ collect \: like \: terms \\ y = 6 - x \: - - - - - (3) \\ substitute \: equation \: 3 \: into \: (2) \\ 3x + 5(6 - x) = 26 \\ 3x + 30 - 5x = 26 \\ collect \: like \: terms \\ 3x + 5x = 30 + 26 \\ 8x = 56 \\ x = \frac{56}{8 } \\ x = 7 \\ substitute \: x = 7 \: into \: equation \: (3) \\ y = 7 -6 \\ y = 1[/tex]

Answer:

So B is different

Step-by-step explanation:

A=3

B=300

C=3

D=3

Step-by-step explanation:

this is really simple : we only need to put the given x and y coordinate values into both equations and see, if both equations remain true.

(-2, -1) means x = -2, y = -1

first equation :

-1 = 3×-2 + 5 = -6 + 5 = -1

so, -1 = -1

true.

second equation :

-2 + -1 = -3

-3 = -3

true.

therefore, (-2, -1) is a solution to the linear system.

the point is the crossing point of both lines.

Answer: 35.54

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Substitute 12 for x in the inequality

x > 5

12 > 5

12 is greater than 5 so x = 12 is a solution to x > 5

Answer:

48 meters

Step-by-step explanation:

Shorter leg will be the side opposite to the angle measuring 30°. Using sin trigonometric ratio the length of hypotenuse can easily be obtained.

[tex] \sin 30 \degree = \frac{length \: of \: shorter \: leg}{length \: of \: hypotenuse} \\ \\ \implies \: \frac{1}{2} = \frac{24}{l(hypotenuse)} \\ \\ \implies \: {l(hypotenuse)} =2 \times 24 \\ \\ \implies \: {l(hypotenuse)} =48 \: m[/tex]

hoooppe this helps <33333

[tex] = \sf \large \frac{ \sec A - 1}{ \sec \: A + 1 } [/tex]

[tex] = \sf \large \frac{ \frac{1}{ \cos A - 1} }{ \frac{1}{ \cos A + 1 } } [/tex]

[tex] \sf \large \: = \frac{ \frac{1 - \cos A }{ \green{ \cancel{ \cos A}} }}{ \frac{1 + \cos A }{ \green{\cancel{ \cos A} }} }[/tex]

[tex] \sf \large = \frac{1 - \cos A }{1 + \cos A } [/tex]

-,-

[tex]\bold{\huge{\green{\underline{ Solutions }}}}[/tex]

We have,

[tex]\sf{HM = 5 cm }[/tex]

The perimeter of square

[tex]\sf{ = 4 × side }[/tex]

[tex]\sf{ = 4 × 5 }[/tex]

[tex]\sf{ = 20 cm }[/tex]

Thus, The perimeter of square is 20 cm

Hence, Option C is correct .

We have,

[tex]\sf{MX = 3.5 cm }[/tex]

Here,

[tex]\sf{MX = MT/2}[/tex]

[tex]\sf{MT = 2 * 3.5 }[/tex]

[tex]\sf{MT = 7 cm}[/tex]

Thus, The MT is 7cm long

Hence, Option C is correct .

We have to find the measure of Angle MAT

From above

[tex]\sf{\angle{MAT = 90° }}[/tex]

Thus, Angle MAT is 90°

Hence, Option B is correct .

We know that,

Therefore,

[tex]\sf{\angle{MHA = }}{\sf{\angle{ MHT/2}}}[/tex]

[tex]\sf{\angle{MHA = 90°/2}}[/tex]

[tex]\sf{\angle {MHA = 45°}}[/tex]

Thus, Angle MHA is 45°

Hence, Option A is correct

Refer the above attachment for solution

Hence, Option A is correct

Both a and b

Hence, Option C is correct

In rhombus PALM,

Let O be the midpoint of Rhombus PALM

In ΔOLM, By using Angle sum property :-

[tex]\sf{35° + 90° + }{\sf{\angle{ OLM = 180°}}}[/tex]

[tex]\sf{\angle{OLM = 180° - 125°}}[/tex]

[tex]\sf{\angle{ OLM = 55° }}[/tex]

Now,

[tex]\sf{\angle{OLM = }}{\sf{\angle{OLA}}}[/tex]

Therefore,

[tex]\sf{\angle{ PLA = 55° }}[/tex]

Thus, Angle PLA is 55° .

Hence, Option C is correct

Answer:0.3111111111111 is the answer

Step-by-step explanation:

ind the least common denominator or LCM of the two denominators:

LCM of 15 and 9 is 45

Next, find the equivalent fraction of both fractional numbers with denominator 45

For the 1st fraction, since 15 × 3 = 45,

7

15

=

7 × 3

15 × 3

=

21

45

Likewise, for the 2nd fraction, since 9 × 5 = 45,

7

9

=

7 × 5

9 × 5

=

35

45

Add the two like fractions:

21

45

+

35

45

=

21 + 35

45

=

56

45

So, 7/15 + 7/9 = 56/45

In mixed form: 1

11

45

3/5=12/x

reciprical of both sides

5/3=x/12

times twelve on both sides

x=20

Answer:

7.2 games, 2.4 times rate.

Step-by-step explanation:

Carla's team won 3 of 5 games which is 3/5 aka 60%.

Elena's team won games at the same rate which means Elena's team won about 7 games since it's 7.2/12 (60%). They won at the rate of 2.4 times while Carla wins at 3/5 rate.

Answer:

87

Step-by-step explanation:

75% is essentially the same as 0.75

0.75 times 116 is 87.

Answer:

It is 87

Step-by-step explanation:

75% can also be written as 0.75 so

116×0.75 is 87

Answer:

n=15/2

Step-by-step explanation:

25+n(20)=175

n(20)=175-25

20n=150

n=150/20

n=15/2 ans...

Answer:

4/11 or 36.3636%

Step-by-step explanation:

probability= number of favorable outcomes/ number of possible outcomes

The event containing vowels {O,A,I,I}

P(vowel)= 4/11

in percentage, 36.3636%

Answer:

-5 and -6

Step-by-step explanation:

3x - 4 ≤ -18

add 4 to each side:

3x ≤ -14

divide each side by 3:

x ≤ -14/3 or x ≤ -4 2/3

Possible Solutions:

-6, -5, -4, -3, -2, -1

Only solutions which are less than -4 2/3 are:  -5 and -6

Answer:<3

The analysis documented industry-wide, more-than-substantial price hikes. Seven-day home delivery price more than doubled, and weekday single-copy price tripled. Seven-day The analysis documented industry-wide, more-than-substantial price hikes. Seven-day home delivery price more than doubled, and weekday...

Step-by-step explanation:

refer the above attachment

Step-by-step explanation:

please mark me as brainlest

Answer:

12x+16/4

Step-by-step explanation:

Answer: 3x + 4

You want to simplify the expression. So 1/4(4x + 12) + 1/2x + 1 + 3/2x simplified is 3x + 4.

Step-by-step explanation:

Hope this helps =)

Answer:

k=2

Step-by-step explanation:

Expanding gives

[tex]3k-4k+8=14k-22[/tex].

Further simplification yields

[tex]-k+8=14k-22[/tex]

[tex]15k=30[/tex]

[tex]k=2[/tex].

Step-by-step explanation:

Use the Distributive Property:

[tex]3k - 4k + 8 = 14k - 22[/tex]

[tex] - k + 8 = 14k - 22[/tex]

Add k to both sides:

[tex]8 = 15k - 22[/tex]

Add 22 to both sides:

[tex]30 = 15k[/tex]

Divide each side by 15:

[tex]2 = k[/tex]

Answer:

The value of x is 2

Step-by-step explanation:

Now,

tan 27 = 1/x

0.5 = 1/x

x = 1/0.5

x = 2

Thus, The value of x is 2

-TheUnknownScientist 72

Answer:

so sorry if i get this wrong, i haven’t done these in a while but, i think it’s (b)

Step-by-step explanation:

Answer:

14 12 13 13 14 15 14 16 ,14 134444

Answer:

3 hours for the total fee charged by both companies to be same.

explanation:

solve:

→ 30 + 6x = 42 + 2x

→ 6x - 2x = 42 - 30

→ 4x = 12

→ x = 3

Answer:

$5.75 per foot

Step-by-step explanation:

if 2 yards is 6 feet, 34.48 divided by 6 = 5.74666667 rounded to the nearest tenth is 5.75

Answer:

D. y, because ΔJHK ~ ΔLMK.

The triangle is tilted and has the same angle and sides.

ΔJHK matches with ΔLMK fully.

Answer:

the last one : y

Step-by-step explanation:

the angle KML means the angle at M.

JHK and LMK are similar triangles. that means that all angles in one triangle are the same in the other triangle.

one angle is 90°. the second angle is 65°.

that leaves the third angle to be y (or actually 25°).

Answer:

3=3.0

8=8.0

15.0

18.0

33.0

49.0

64.0

108.0

251.0

Step-by-step explanation:

Basically writing to one decimal place

The two ways she could change the length and/or width are;

The new area of the pen would be; 90ft²

The dimension of the pen given is;

Hence, the initial area of the pen is;

Hence, to make the pen four times it's present area; Krista may multiply either of the length or width by a factor of 4.

And hence, the new area is; 22.5 × 4 = 90ft²

Read more on Area of a pen;

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