Springboard Geometry Chapter 21 Mid-Unit Assessment
A carpenter leans a 20-tootador against a butang so
that an angle of 60' is formed between the door and
the ground. How many toet away from the building is
the bottom of the ladder
A
10
B
10v5n
С
2011
D
O A

Answer:

y = 3/8 x - 2

Step-by-step explanation:

Put 8y on the other side to get

8y + 16 = 3x

8y = 3x - 16 and thus

y = 3/8 x - 2

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have

[tex]4 \div \frac{1}{2} [/tex]

[tex] = 4 \times \frac{2}{1} [/tex]

[tex] = \frac{8}{1} [/tex]

[tex] = 8[/tex]

[tex]8 \times \frac{1}{2} [/tex]

[tex] = 4 \times \frac{1}{1} [/tex]

[tex] = \frac{4}{1} [/tex]

[tex] = 4[/tex]

8 pieces

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Answer:

it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.

Step-by-step explanation:

Answer:

According to an advertisement for Colgate toothpaste, 4 out of 20 Dentist prefer Colgate. There are 150 Dentist in a certain city.

Let the number of dentists prefer Colgate in the city be x

[tex] \frac{4}{20} = \frac{x}{150} \\ x = \frac{4 \times 150}{20} \\ \boxed{x = 30}[/tex]

Answer:

i got you

Step-by-step explanation:

2 is 142

4 is 142

(they are parallel therefore they are the same :))

Answer:

$340.

Step-by-step explanation:

Given that some products, such as a pair of trousers in this case, are sold at 2/5 of their value, if the trousers cost $ 850, the following calculation must be performed to determine their sale value:

2/5 = 0.4

850 x 0.4 = X

340 = X

Therefore, selling them at 40% of their value, the trousers' sale value was $ 340.

Answer: Hi, sorry if I’m late to answering but the answer is 19

Step-by-step explanation:

You divide each number in the equation by 5. So, 5x divided by 5 = 1. We cannot use 5 divided by 5 because it will equal 1 so we ignore that and go to 95 divided by 5 = 19. Therefore, 19 is your answer!!! (Hope this helped)

x[tex]x^{2} -10x+9--->use AC method---->(x-9)(x-1)[/tex] i think

Answer:

AD∥BC,BD is the transversal line

⟹∠ADB=∠DBC (∵alternate angles)

⟹z=30

Step-by-step explanation:

Answer:

x = no solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-2(x + 5) = -2(x - 2) + 5

Step 2: Solve for x

Here we see that -10 does not equal 9.

∴ x = no solutions.

Answer:

no solution

Step-by-step explanation:

:)

Answer:

-38h-30

4h+(−6)(5)+(−6)(7h)

=4h+−30+−42h

=(4h+−42h)+(−30)

=−38h+−30

Answer: 1/30

Step-by-step explanation:

Here's the correct question:

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?

To calculate the the total weight of the rock left at the construction site goes thus:

= 1/3 + 1/2 - 4/5

The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.

= 1/3 + 1/2 - 4/5

= 10/30 + 15/30 - 24/30.

= 1/30

Answer: twenty one decreased by eighteen or the difference of twenty one and eighteen

Answer:

The answer is 30 :)

Step-by-step explanation:

I had this question on khan academy

have a good day and stay safe!

The value of expression at x = 3 is,

⇒ 30

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6² + x - x²

Now, We can simplify as;

⇒ 6² + x - x²

⇒ 36 + x - x²

Put x = 3;

⇒ 36 + 3 - 3²

⇒ 36 + 3 - 9

⇒ 36 - 6

⇒ 30

Thus, The value of expression at x = 3 is,

⇒ 30

Learn more about the mathematical expression visit:

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Answer:

25

Step-by-step explanation:

Answer: The /\ is 6. The number is 6.

Explanation: 678564 ÷ 9 = 75396

Answer:

4 x 45=180

32 x 2.5=80

180+80=260

so $260 is the correct answer

Step-by-step explanation:

Answer:AB is longer than AC

Step-by-step explanation:AP3X

Answer:

c

Step-by-step explanation:

I just did it on A.P.E.X.

square root(3) * ((125 / 5) - 8) =

29.44

that's the final answer.

if possible please give me a brainliest. tnx good day

Answer:

what is the question

Step-by-step explanation:

Answer:

3x+4y=18 and 5x+2y=16

x=the cost of the sodas

y=the cost of the iced teas

then you do

3x+4y=18, and 10x+4y=32 (the equation is still equivalent to 5x+2y=16, you just doubled it)

next,

10x+4y=32

-3x-4y=-18 (once the y's match, make one negative and one positive)

which leaves you with:

7x=14

which means

x=2

Plug the x value back into the equation, for this I chose to plug it back into 3x+4y=18

3(2)+4y=18

6+4y=18

4y=12

y=3

so the final answer is x=2, and y=3

Step-by-step explanation:

When b = 5,

4b² = 4(5)² = 4 * 5 * 5 = 100.

Answer:

100 is the right answer.

Step-by-step explanation:

Given that b=5

4b² = 4(5)² = 4×25 = 100

Answer:

false

false

false

...............

The limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

A differential equation is an equation that contains one or more functions with its derivatives.

The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.

The left-hand limit of a function is the value of the function approaches when the variable approaches its limit from the left.

[tex]\lim_{x \to -\infty} (2x^{3} -2x)=\infty[/tex]

This limit function is false.

[tex]\lim_{x \to -\infty} (2x^{4} +6x^{3}-2x)=-\infty[/tex]

This limit function is false.

[tex]\lim_{x \to \infty} (-9x^{5} -6x^{3}-x)=-\infty[/tex]

This limit function is false because it should be positive.

Hence, the limit of the functions is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.

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Step-by-step explanation:

Negative slope

Its going from left to right.

Given:

[tex]\sigma_A=3[/tex]

[tex]n_A=6[/tex]

[tex]\sigma_B=5[/tex]

[tex]n_B=4[/tex]

[tex]\overline{x}_A=\overline{x}_B[/tex]

To find:

The variance. of combined set.

Solution:

Formula for variance is

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}[/tex]      ...(i)

Using (i), we get

[tex]\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}[/tex]

[tex](3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}[/tex]

[tex]54=\sum (x_i-\overline{x}_A)^2[/tex]

Similarly,

[tex]\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}[/tex]

[tex](5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}[/tex]

[tex]100=\sum (x_i-\overline{x}_B)^2[/tex]

Now, after combining both sets, we get

[tex]\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}[/tex]

[tex]\sigma^2=\dfrac{54+100}{6+4}[/tex]

[tex]\sigma^2=\dfrac{154}{10}[/tex]

[tex]\sigma^2=15.4[/tex]

Therefore, the variance of combined set is 15.4.

Answer:

JP = 36

Step-by-step explanation:

Since JN is the entire line, then just divide 54 by 3 which equals to 18, then add 18 + 18 which equals to 36. You want to do this because an entire line segment is in 3 units (JN) , so which mean (JP) is 2/3 or 2 units of 3.

Answer:

-6

Step-by-step explanation:

3(-4) = -12

-2(-3)= 6

-12+6= -6

Answer:

-6

Step-by-step explanation:

If x = -4 and y = -3, the equation should be set up like this: 3(-4) - 2(-3). The rule is if you multiply a 1 positive number by 1 negative number, the answer will be negative.

3(-4) = -12

2(-3) = -6

Then, once you figure out the multiplication, finish up the equation by subtracting.

-12 - (-6) = -6