Jasmine correctly determined the area of this parallelogram by adding the areas of the triangles and rectangle.
How did jasmine determine the area?
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Jasmine determined that the area of each triangle is _m2 and that the area of the rectangle is _m2. She added the areas of the two triangles and the rectangle for a total area of _

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

Answer:

All the numbers are technically, rational.

Step-by-step explanation:

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:

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:

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:

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:

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:<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:

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:

6 $5 dollar bills, and 20 $10 dollar bills

Step-by-step explanation:

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.

Step-by-step explanation:

refer the above attachment

Step-by-step explanation:

please mark me as brainlest

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:

2.11 Repeating

Step-by-step explanation:

Hope is right

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:

(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:

2 feet times nine equals 18

well, the price difference is 60000 - 40000 = 20000.

so, we're told that the price increase acres wise is 800 bucks per acre, but we also know it's a total of 20000, so how may times does 800 go into 20000?

20000 ÷ 800 = 25.

so we know that in 20000 bucks there are 25 acres, so how many will there be in 60000 bucks?

[tex]\begin{array}{ccll} \$&acres\\ \cline{1-2} 20000&25\\ 60000&x \end{array}\implies \cfrac{20000}{60000}=\cfrac{25}{x}\implies \cfrac{1}{3}=\cfrac{25}{x}\implies \stackrel{acres}{x=75}[/tex]

Answer:i have no idea!

Step-by-step explanation:

To compare the shapes of the distributions from the experiments, a z-test can be used.

Your information is incomplete as the distributions aren't given. Therefore, an overview will be given. It should be noted that a z-test is a statistical test that's us used to determine if the means of two population are different when their variances are known.

Z-tests simply test the mean of a distribution. To compare the distributions, the error in the mean will be calculated by dividing the dispersion by the square root of the number of data points.

Learn more about z-test on:

https://brainly.com/question/15728178

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:

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: 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:

-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:

3.25/5*9= 5.85

Step-by-step explanation:

3.25euros divided by 5pens times 9pens= 5.85euros

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:

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:

the anwer is 14-2294-dhi2

Step-by-step explanation:

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

Answer:

[tex]\cfrac{\frac{3}{8} }{\frac{1}{-7} } =\cfrac{3}{8} \times -\cfrac{7}{1}[/tex]

[tex]=\cfrac{-21}{8}[/tex]

[tex]=-2\cfrac{5}{8}[/tex]

Hope this helps u! :)

[tex]\\ \rm\rightarrowtail \dfrac{3/8}{1/-7}[/tex]

[tex]\\ \rm\rightarrowtail 3/8\div 1/-7[/tex]

[tex]\\ \rm\rightarrowtail 3/8\times -7[/tex]

[tex]\\ \rm\rightarrowtail -21/8[/tex]

[tex]\\ \rm\rightarrowtail -2\dfrac{5}{8}[/tex]

Answer:

119

Step-by-step explanation:

Angle ABD and angle DBC are supplementary so their sum is equal to 180

therefore to find the measure of ABD we subtract 61 from 180

<ABD = 180 - 61

<ABD = 119