*
4. Find the value of x in the given parallelogram.
(2x+5)*
1159
Your answer

Answer:

7000

Step-by-step explanation:

Thus the truck delivers 7 tons of gravel.

"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".

For the above situation,

A truck delivers 14,000 pounds of gravel.

We know that,

1 US ton = 2000 pounds

Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]

⇒ [tex]7 tons[/tex]

Hence we can conclude that the truck delivers 7 tons of gravel.

Learn more about unit conversions here

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[tex]\tt{ Hey \: there , \: Mr.Panda \: ! } [/tex] ;)

♨[tex] \large{ \tt{ E \: X \: P \: L \: A \: N \: A \: T \: I\: O \: N}}: [/tex]

⤻ Before solving the given question , you should know the answer of these questions :

✺How do you find the hypotenuse , perpendicular and base when the angle ( [tex] \theta \: , \alpha \: ,\beta [/tex] ) is given ?

⇾ The longest side , which is the opposite side of right angle is the hypotenuse ( h ). There are two other sides , the opposite and the adjacent. The naming of these sides depends upon which angle is involved. The opposite is the side opposite the angle involved and it is called the perpendicular ( p ) . The adjacent us the side next to the angle involved ( buy not the hypotenuse ) and it is called the base ( b ).

☄ [tex] \large{ \tt{REMEMBER}} : [/tex]

In the above cases , [tex] \theta[/tex] is taken as the angle of reference.

♪ Our Q/A part ends up here! Let's start solving the question :

❈ [tex] \large{ \tt{GIVEN}} : [/tex]

✧ [tex] \large{ \tt{TO \: FIND} : }[/tex]

✎ [tex] \large{ \tt{SOLUTION}} : [/tex]

Firstly , Finding the value of perpendicular ( p ) using Pythagoras theorem :

❃ [tex] \boxed{ \sf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex] [ Pythagoras theorem ]

[tex] \large{ ⇢ \sf{p}^{2} + {b}^{2} = {h}^{2} }[/tex]

[tex] \large{⇢ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

[tex] \large{ ⇢\sf{ {p}^{2} = {18}^{2} - {16}^{2} }}[/tex]

[tex] \large{⇢ \sf{ {p}^{2} = 324 - 256}}[/tex]

[tex] \large{⇢ \sf{ {p}^{2} = 68}}[/tex]

[tex] \large{⇢ \sf{p = \sqrt{68}}} [/tex]

[tex] \large{ ⇢\sf{p = \boxed{ \tt{2 \sqrt{17}}} }}[/tex]

Okey, We found out the perpendicular i.e [tex] \tt{2 \sqrt{17}} [/tex] . Now , We know :

❊ [tex] \large{ \sf{ \tan \theta} = \frac{perpendicular}{base} }[/tex]

[tex] \large {\tt{↬ \: tan \theta = \frac{2 \sqrt{17} }{16}}} [/tex]

[tex] \large{ \tt{ ↬ tan \theta = \frac{ \cancel{2} \: \sqrt{17} }{ \cancel{16} \: \: 8} }}[/tex]

[tex] \large{ \tt{ ↬ \boxed{ \tt{tan \theta = \frac{ \sqrt{17} }{8}}}}} [/tex]

⟿ [tex] \boxed{ \boxed{ \tt{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bf{ \frac{ \sqrt{17} }{8}}}}}}} [/tex]

۵ Yay! We're done!

♕ [tex] \large\tt{RULE \: OF \:SUCCESS }: [/tex]

ツ Hope I helped!

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Answer:

√(17)/8

Step-by-step explanation:

We are given with hypotenuse and base. We can have any ratio related to it, such as secant.

secA = hypotenuse/base

secA = 18/16 = 9/8

sec²A = 81/64

Using sec²A - 1 = tan²A

=> 81/64 - 1 = tan²A

=> 17/64 = tan²A

=> √(17)/8 = tanA

______________________

Using cosine of angle A.

cosA = base/hypotenuse

cos²A = (16/18) = (8/9)² = 64/81

sin²A = 1 - cos²A = 1 - 64/81 = 17/81

Hence,

tanA = √(tan²A) = √(sin²A/cos²A) = √((17/81)/(64/81)) = √(17)/8

This looks complex, either go with the 1st or one Or directly find the value of height using Pythagoras theorem,

18² = 16² + height²

√17 = height

tanA = height/base = √17/8

Answer:

11

Step-by-step explanation:

5+6

Answer:

a) 4:3

b) 7:3

Step-by-step explanation:

No. of roses= 8

No. of daisies = 6

Total no. of flowers = 14

a) Ratio of roses to daisies = No. of roses/No. of daisies

8/6

= 4/3

= 4:3

b) Ratio of all flowers to daisies = No. of all flowers/ No. of daisies

14/6

= 7/3

= 7:3

Answer: 183 is corecct

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  No, because it will not go through the origin

Step-by-step explanation:

The equation is that of a straight line, but its y-intercept is 2, not 0. Because the y-intercept is not zero, the line does not go through the origin, and the relationship is not proportional.

Answer:

1/3

Step-by-step explanation:

Combine the xs

Answer:

[tex]\frac{1}{3} x + \frac{1}{2}[/tex]

Step-by-step explanation:

The following expression is equivalent to

[tex]\frac{1}{3} x + \frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\huge\mathcal\blue{here's \: your \: solution} \\ \\ x = 2y - 14 \: \: \: (given) \\ \\ equation \: = 5x - 7y = - 43 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 5(2y - 14) - 7y = - 43 \\ \\ 10y - 70 - 7y = - 43 \\ \\ 3y - 70 = - 43 \\ \\ 3y = + 70 - 43 \\ \\ 3y = 27 \\ \\ y = 27 \div 3 \\ \\ y = 9 \\ \\ now \: put \: the \: value \: of \: y \: in \: equation \\ \\ x = (9 \times 2) - 14 \\ \\ x = 18 - 14 \\ \\ x = 4 \\ \\ \huge\mathfrak\red{hope \: it \: helps..}[/tex]

Answer:

25%

Step-by-step explanation:

7 apples + 2 peaches = 9

12-9=3

3/12 = 25%

Answer:22

Step-by-step explanation:

It’s like saying 8+7x2 and it’s 22

Answer:

30

Step-by-step explanation:

(8 + 7) * 2

(15) * 2

30

Hope this helps!

Answer:

4/12 = yellow

3/12 = purple

12/144 = yellow and purple

Step-by-step explanation:

the first two are pretty self explanitory. The last one requires you to multiply the answers of the first two together. Make sure you multiply both the top and the bottom (don't use common denominator here)

Answer:

The answer to this is the 3rd choice which is 1a) 4/12, 1b) 3/12, 1c) 12/144.

Step-by-step explanation:

This is pretty simple. To identify the probability of the yellow marbles, you can find the amount of yellow marbles and the total amount of marbles. You take it as a fraction which would be 4/12.

The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles

The amount of yellow marbles : 4 yellow

Probability of yellow marbles : 4/12

To identify the probability of the yellow marbles, you can find the amount of purple marbles and the total amount of marbles. You take it as a fraction which would be 3/12.

The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles

The amount of purple marbles : 3 purple

Probability of purple marbles : 3/12

To identify the probability of both the yellow and purple marbles, you can find the amount of yellow and purple marbles along with the total amount of marbles. Since we know this from the work above, you just need to multiply both probabilities. You take it as a fraction which would be 12/144.

The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles

The amount of yellow marbles : 4 yellow

The amount of purple marbles : 3 purple

Probability of yellow marbles : 4/12

Probability of purple marbles : 3/12

Probability of both marbles : 12/144

Answer:

Answer:

x = 5 cm

Step-by-step explanation:

Big rectangle

Length = 30 cm

Width = 12.5 cm

Length : width = 30 cm : 12.5 cm

Small rectangle

Length = 12 cm

Width = x cm

Length : width = 12 cm : x cm

Equate the ratios

30 cm : 12.5 cm = 12 cm : x cm

30/12.5 = 12/x

Cross product

30 * x = 12.5 * 12

30x = 150

x = 150/30

x = 5 cm

Answer:

6/21

Step-by-step explanation:

2/3 x 2/3 x 2/3

6/21

Answer:

G(x)=2x32+c

Step-by-step explanation:

Answer:

Her oldest was 9, and the other 2 were 2

Answer:

Solution given:.

area of traingle EFG=1/2b×h=1/2×7×6=21cm²

area of rectangle ABCD=l×b=(20+9)×7=203cm²

area of rectangle BHIJ=l×b=9×11=99cm²

Total area =21+203+99=323cm² is a required answer

Answer:

11

Step-by-step explanation:

√4² + √6² + 1

4 + 6 + 1

11..

Mark Runzun as brainliest as my id will get deleted soon

Answer:

YESSSSS I AM APART OF THE KENMA CULT

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

I did the test

Answer: answer is 4 :)

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Answer:

15 2/3

Step-by-step explanation:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

-47 = 3x

x = -15.6

Answer:

The length of the radius of circle is 16.25 cm

Step-by-step explanation:

Answer:

The length of the radius of circle is 16.25 cm

Step-by-step explanation:

we know that

If CD is tangent to circle A at point D

then

the segment CD is perpendicular to the radius AD

and

ACD is a right triangle

so

Applying the Pythagorean Theorem

we have

substitute

solve for r

Answer:

yes the following relation is a function

Answer:

[tex] \displaystyle A_{ \text{triangle}} = 102 {m}^{2} [/tex]

Step-by-step explanation:

remember that,

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]

given that,b is 17 m and h is 12m

thus substitute:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 17\times 12[/tex]

reduce fraction:

[tex] \displaystyle A_{ \text{triangle}} = 17\times 6[/tex]

simplify multiplication:

[tex] \displaystyle A_{ \text{triangle}} = 102 {m}^{2} [/tex]

Answer:

njuvcjgxyrsdfygjhkl

Step-by-step explanation:

Answer:

A Acute

Step-by-step explanation:

cause a acute is between 0 and 90 degrees