Which statement illustrates the distributive property?
3(4+5) = 3(4)+5
3(4+5)-3(4)+ 3(5)
3[(4)(5)] - 3(4)+3(5)
3[(4)(5)] = [ 3(4)][3(5)]

The answer is 58.

First, we need to find "x", being the number.

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Therefore, the answer is 58.

X=58

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Answer:

how many brothers do you have?

Answer:

-25/12

Step-by-step explanation:

Given expression:

    [tex]\bullet \ \ \dfrac{-1}{3} + \huge\text{(}\dfrac{-7}{4} \huge\text{)}[/tex]

Open the parenthesis:

    [tex]\implies \dfrac{-1}{3} + \huge\text(\dfrac{-7}{4} \huge\text)[/tex]

    [tex]\implies \dfrac{-1}{3} - \dfrac{7}{4}[/tex]

Make common denominators:

    [tex]\implies \dfrac{-1 \times 4}{3 \times 4} - \dfrac{7 \times 3}{4 \times 3}[/tex]

    [tex]\implies \dfrac{-4}{12} - \dfrac{21}{12}[/tex]

Subtract the fractions:

    [tex]\implies \boxed{\dfrac{-25}{12}}[/tex]

Answer: 12

Step-by-step explanation:

Start with 90/10 which gets you 9

Then add 3 and 9 which is 12

Answer:

12

Step-by-step explanation:

Order of operations says to do the division first

90/10 = 9

Then add the rest

9+3 = 12

Answer:56.8 inches

Step-by-step explanation:

For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.

the triangle is cut directly in half so both halves of the base are 17/2

17/2 = 8.5

solve through pythagoren theorum

altitude^2 + (half of base)^2 = (diagonal length)^2

18^2 + (8.5)^2 = (diagonal length)^2

324 + 72.25 = (diagonal length)^2

396.3 = (diagonal length)^2

[tex]\sqrt{396.3}[/tex] = diagonal length

diagonal length = 19.9

diagonal length + diagonal length + base = perimeter

19.9 + 19.9 + 17 = perimeter

56.8 inches = perimeter

Answer:

3rd graph

Step-by-step explanation:

For the study conducted by the researchers,

From the question, we have the following highlights:

When a study used a control group and an experimental group, then such study is a matched-pairs design.

The appropriate t-interval for inference for a matched-pairs design is the  t-interval for a mean difference

Read more about matched-pairs design at:

https://brainly.com/question/16448112

Answer:

I'm a deku lover too! the answer is -589

Answer:the answer is bark bark woof

Step-by-step explanation:

my dog told me after he was done eating, it was crazy

Answer:

$450

Step-by-step explanation:

cost = area × price per square meter

cost = LW × $5/m²

cost = 90 m² × $5/m²

cost = $450

Answer:

$450

Step-by-step explanation:

9x10=90 meters

90x5=$450

Answer:

  x = 5.4

Step-by-step explanation:

The marked sides are the hypotenuse and the side adjacent to the marked angle. That suggests the appropriate trig function is the cosine:

  Cos = Adjacent/Hypotenuse

  cos(19°) = 5.1/x

  x = 5.1/cos(19°) . . . . . multiply by x/cos(19°)

  x ≈ 5.4

Step-by-step explanation:

To find volume of triangular prism the formula is : 1/2 base× height × length

so,1/2 × 7cm × 6cm × 10cm

420cm³/2

= 210cm³

Answer:

Just use a calculator

Step-by-step explanation:

It's easier :)

Answer: 35, 35, 70, and 220

Step-by-step explanation:

– Let x = size of one of the two equal angles

The sum of angles in a quadrilateral is 360:

360 = x+ x + ( x+x ) x (2( x+ x+ x+x ) – 60)

360 = 4 + 2(4 ) – 60

360 = 4 + 8 – 60

360 = 12 – 60

12x = 420

= 35

Substituting x for 35, will get: 35, 35, 70, 220

The values of the angles are 35°, 35°, 70° and 220°

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:14 {g}^{2} [/tex]

plug the value of given as -1 :

[tex]\qquad \tt \dashrightarrow \:14( - 1) { }^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:14(1)[/tex]

[tex]\qquad \tt \dashrightarrow \:14[/tex]

Do, the equivalent term is 14

Answer:

19.5 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

14^2 + b^2 = 24^2

196 + b^2 = 576

Now we subtract!!

576 - 196 = b^2

380 = b^2

Now we find the square root!!

[tex]\sqrt{380}[/tex] = 19.5 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

24

Answer:

Step-by-step explanation:

Formula

Total number of cookies = number servings * number of cookies in serving

Givens

Number of servings = 16

Number of cookies in each serving=4

Total Mass = 0.5 kg

Solution

Total number of cookies = 16*4

Total number of cookies = 64

Total mass of box = # cookies * mass of 1 cookie

Total Mass of box = 0.5

# cookies = 64

0.5 kg = 64 * mass 1 cookie           Divide by 64

0.5 / 64 = 64*mass 1 cookie/64     Compute

Answer: mass 1 cookie = 0.0078 kg

This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.

The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.

The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].

The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.

We have the expression:

[tex]\rm \frac{cos \theta}{sin \theta}[/tex]

we know that

[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]

also,

[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]

So, By using these trigonometry formulas, we get:

 [tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]

Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex]  is cot [tex]\theta[/tex].

Know more about trigonometry here:

brainly.com/question/26719838





Answer:

D. cot 0

Step-by-step explanation:

Answer:

168 sq

Np also you could've just searched it up

Answer:

Area of the trapezoid is 120

Answer:

written out in the explanation.

Step-by-step explanation:

Area of a circle = [tex]\pi r^{2}[/tex]

Circumference of a circle = [tex]2\pi r[/tex]

The radius is the center point of a circle to the edge of a circle. The diameter is a line from one edge of a circle to the opposite edge.

So, the radius is simply half of the diameter.

For circle A, the radius is 12. Therefore, the diameter is 24.

The circumference is 2·[tex]\pi[/tex]·12 ≈ 75.39822 inches. rounded, the circumference is 75.4 inches.

The area is [tex]\pi 12^{2}[/tex] ≈ 452.38934. rounded, the area is 452.39.

For B,

you have already solved the diameter and radius correctly, good job :). The steps for finding the circumference are the same as for circle A.

the circumference is 2·[tex]\pi[/tex]·6 ≈ 37.69911. rounded, the circumference is 37.7 inches.

the area is [tex]\pi 6^{2}[/tex] ≈ 113.09734. rounded, the area is 113.1.

For C,

the circumference is 12. We can use the circumference equation to solve for the radius.

12 = [tex]2\pi r^{2}[/tex]

divide both by 2[tex]\pi[/tex]

7.63943726841 = [tex]r^{2}[/tex]

square root of 7.63943726841 = 2.76395319577

radius = 2.76395 inches. rounded, the radius is 2.8 inches.

so, radius ·2 = 5.52790639154.

meaning diameter = 5.52791. rounded, the diameter is 5.5 inches.

the area is [tex]\pi 2.76395^{2}[/tex] ≈23.99994. rounded, the area is 24.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 12.75}}{\left( \cfrac{6}{100} \right)12.75}\implies 0.765~~\approx 0.77~~\textit{about 77 cents}[/tex]

Answer:

length * width * height = volume

10 * 2 * 5.5 = 110 cubed inches

Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.

According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.

Now;

T(t) = T(s) + (To - Ts)e^-kt

T(t) = temperature at time T

To = initial temperature

Ts = temperature of the surrounding

k = colling constant

t = time taken

200 = 68 + (230 - 68)e^-15k

200 = 68 + 162e^-15k

200 - 68/162 = e^-15k

ln(0.815) = -15k

k = ln(0.815)/-15

k = 0.014 min-1

Now;

100 = 68 + (230 - 68)e^-( 0.014t)

100 -68/162 = e^-( 0.014t)

0.198 =e^-( 0.014t)

ln(0.198) = -( 0.014t)

t = ln(0.198)/-0.014

t = 116 mins

Learn more about newtons law of cooling: https://brainly.com/question/14643865:

{f(x) ∈ ℝ | f(x) ≥ 3}  is the range of f(x) = |x| + 3

When graphing the following equation shown below:

Answer:

{f(x) ∈ ℝ | f(x) ≥ 3}

Step-by-step explanation:

The range of a function is the output values (y-values).

Absolute value is the distance of x from zero, so it is never negative.  It is denoted by a bar on either side of the term.

Therefore, as |x| ≥ 0 then |x| +3 ≥ 3

Therefore, the range of the function is {f(x) ∈ ℝ | f(x) ≥ 3}

Answer:

  9 cm²

Step-by-step explanation:

Sometimes these inscribed polygon problems respond nicely to a little geometrical thinking. The figure is symmetrical about the vertical line through the center of the square(s).

__

That line of symmetry divides the figure into halves that are twice as tall as wide. That same ratio applies to both the outer square and the inner (blue shaded) square.

In other words, a line from the center of the top segment through either bottom corner of the figure will pass through the corners of both squares. That line will have a slope of ±2, making it easy to find the coordinates of one of the lower corners of the shaded square.

__

Analytically, we can write the equation of the right circle shown in the attachment as ...

  x² +y² = 5²

and the equation of the line as ...

  y = 2x +5

__

Then the x-value of the lower left corner will be found where these intersect.

  x² +(2x +5)² = 25 . . . . . . substitute for y

  x² +4x² +20x +25 25 . . . . eliminate parentheses

  5x² +20x = 0 . . . . . . . . . . . . subtract 25

  5x(x +4) = 0 . . . . . . factor

  x = -4 or 0 . . . . . the x-coordinates of the points of intersection

The y-coordinate of the lower left point is ...

  y = 2(-4) +5 = -3

__

Since the top edge of the blue square has a y-coordinate of 0, this means the square is 3 cm on a side. Its area is ...

  A = s² = (3 cm)² = 9 cm² . . . . area of the blue shaded square

Answer:

Its a parallelogram

Step-by-step explanation:

Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.