evaluate each of the expressions in the list for y=5. then, draw lines to match the expression in list A with their equivalent expression in list B

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:

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:

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:

-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:

the anwer is 14-2294-dhi2

Step-by-step explanation:

Because 14 is - 4 you multiple to 5 equal= dhi2

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

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

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;

https://brainly.com/question/25292087

Step-by-step explanation:

refer the above attachment

Step-by-step explanation:

please mark me as brainlest

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:

2.11 Repeating

Step-by-step explanation:

Hope is right

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:

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

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:<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...

Answer:

Yes, the sample's estimation about the percentage is accurate.

Answer:

yes

Step-by-step explanation:

It does because 10 would be 100% 8 is 80% and 2 is 20% that is why it closely estimates the percentage.

Answer:

there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12

Step-by-step explanation:

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]

Answer:

98%

Step-by-step explanation:

have a great day

Answer:

2% chance.

Step-by-step explanation:

20 + 20 + 10 equals 50. 1 divided by 50 equals 0.02, which is 2 percent.

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: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

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:

All the numbers are technically, rational.

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

because the sum of the angles of a triangle should = 180, and adding these numbers together give  a greater result of 220 degrees

Answer:

A = 2298.48

Step-by-step explanation:

The right triangle with the 35angle. you need to find the height of that triangle which is the adjacent side and the opposite side is 44

tan 35° = opposite/ adjacent

[tex]tan 35 = \frac{44}{x}[/tex]

[tex]tan 35(x) = 44[/tex]

[tex]x = \frac{44}{tan 35}[/tex]

x = 62.83  ≈ 62.8

Using the 25° angle, you have the height which is 62.8 and looking for the side opposite the 25° angle.

So  tan 23° = x/adjacent side

[tex]tan 25= \frac{x}{62.8}[/tex]

[tex]tan 25(62.8)= x[/tex]

29.28 ≈29.2                A = 1/2bh ;  A = 1/2 (44 + 29.2)(62.8) ;  A = 2298.48

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:

(a) AA Similarity using alternate interior angles

(b) 6.3

Step-by-step explanation:

(a)

Triangles ABD and BDC have a given pair of congruent angles, angles ABD and BCD.

With parallel lines AB and DC and transversal BD, then alternate interior angles ABD and BDC are congruent.

Now we have two pairs of congruent corresponding angles, so by AA Similarity, triangles ABD and BDC are similar.

(b)

Triangles ABD and BDC are similar.

The ratios of the lengths of corresponding sides are equal.

AB/BD = AD/BC

4/6 = 4.2/BC

4BC = 6 × 4.2

BC = 6.3

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:

2 feet times nine equals 18