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Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

[tex]\frac{AC}{sin30}[/tex] = [tex]\frac{15}{sin40}[/tex] ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = [tex]\frac{15sin30}{sin40}[/tex] ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{11.668}[/tex] ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

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Answer:

d)

#2

#3

Diagonals are perpendicular. Side length of the rhombus:

Perimeter:

Answer:

C

Step-by-step explanation:

C is the right one

The first thing we need is the formula. SO what's the formula? the formula for Volume of all geometry object is Base * height, but because this is a sphere. The formula is actually 4/3πr^3! Remember, we also need units. so lets start solving. The radius is 5  meters so . 4/3π*5m^3. Therefore we have about 523.6meters^3. Hope you like my question

Answer = 523.6meters^3

The volume of the given sphere with radius 5 meters is given by 523.33 m³.

Any three-dimensional solid's volume is the area it takes up. The shapes of these solids include cubes, cuboids, cones, cylinders, and spheres. Forms come in a wide range of volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylinders, cones, and more.

As per the given data:

Radius of the sphere = 5 meters

Value of π as given in the question = 3.14

{always use the same value of π as given in the question}

For finding the volume of a sphere with a given radius:

[tex]V = \frac43 \pi r^3[/tex]   {where r is the radius}

[tex]V = \frac43 \times 3.14 \times 5^3[/tex]

V = 523.33 m³

Hence, The volume of the given sphere with radius 5 meters is given by 523.33 m³.

Learn more about Volume here:

brainly.com/question/13338592

#SPJ3

Answer:

1,260 helmets

Step-by-step explanation:

100/225 × 2,835 = 1,260

Answer:

56.54

Step-by-step explanation:

Circumference of a circle = 2πr

However, this is a semicircle

Curved circumference of the semicircle = πr

Diametrical length = 2r

Therefore, circumference of a semi circle is πr + 2r

Circumference of a semicircle = πr + 2r

r = 11

Circumference of a semicircle = πr + 2r

= (3.14 * 11) + (2 * 11)

= 34.54 + 22

= 56.54

Answer:

28

Step-by-step explanation:

Diagonals of a rectangle are congruent and bisects each other. So, using this property and By exterior angle theorem:

2x° = 56°

2x = 56

x = 56/2

x = 28

Answer: x=28

Step-by-step explanation:

A line has to be 180 degrees

You have 56, so 180-55=124 degrees

Angles are parallel because of the two double curve line.

Now you have that one triangle with the angle of 124degrees and x degrees and the third angle is unknown.

You know that a triangle is 180 degrees

So 180-124=56 degrees

So the unknown angle and the x angle together have to equal 56 degrees.

Since both angles are the same all you do is 56/2.

Now x= 28degrees

Answer:

168

Step-by-step explanation:

number that prefer four-door cars = percentage of car owners that prefer  four-door cars x total number of people surveyed

56% x 300

0.56 x 300 = 168

Angle E and D are supplementary and need to equal 170 when added together.

Angle D = 180-35 = 145

Angle D is split into two with part of it being 44

The missing angle is 145-44 = 101 degrees

The answer is 101

Question

Even wants to make a kneeling pad cushion for when he gardens for long periods of time. How much fabric should he buy to cover the cushion?​

Answer:

Surface area, 440 in 3

Step-by-step explanation:

I just did this question on my assignment on Edge 2021

Step-by-step explanation:

surface area, 440 in.2

Answer:

117

Step-by-step explanation:

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

36/16=90/r(since they are similar use this ratio)

do cross multiplication

16*90=36*r

1440=36r

1440/36=r

40=r

Answer:

[tex] \frac{36}{16} = \frac{90}{x} \\ x = 40 \: mm[/tex]

Answer:

94281 km +- 1 km

572.2 km +- 0.1 km

Answer:

52.6°

Step-by-step explanation:

cos(theta)= adj/hyp

hyp=28

adj=17

Answer:

267

Step-by-step explanation:

First, take 37 and multiply it by 7, which gives you 259. Next, add 8 to get your answer, 267.

Answer:

c=12,564

m=1,047

Step-by-step explanation:

Answer:

Spurious relationship

Step-by-step explanation:

A spurious relationship is a relationship between a dependent and independent variable that seems to be causal (have a cause and effect relationship) but is actually not, which is made evident by a third factor or variable which was not initially apparent at the point of comparison or examination of the dependent or independent variables

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

S is mid point of PQ

RS = 18 – 4x

OP = -9 + 7x

Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

[-9 + 7x] = 2[18 - 4x]

-9 + 7x = 36 - 8x

7x + 8x = 36 + 9

15x = 45

x = 45 / 15

x = 3

So,

OP = -9 + 7x

OP = -9 + 7(3)

Measurement of OP = 12

Answer:

See below

Step-by-step explanation:

The median is the middlemost term in a numerically ordered data set.

For example, if I had for my data set {2,2,3,5,6,7,8} then 5 would be the median because it's the middlemost term.

Answer:

Step-by-step explanation:

surface area=(a+b+c)*h

=(5+5+6)*5

=16*5

=80 cm^2

9514 1404 393

Answer:

  B, D, E

Step-by-step explanation:

All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...

  ∠2, ∠6, ∠7

Step-by-step explanation:

the other answer is correct and simple (based on simply applying definitions and formulas).

to help you with understanding the background there are actually 2 direct ways to solve this.

trigonometry is always about angles in a circle. even if and when we are taking about angles in other shapes like triangles. we simply need to imagine a circle around the shape in question going through the important points.

so the first way is to imagine a circle with the center in point C and going through point A.

the radius of that circle is 40 (AC).

so, sin(C) × 40 = 24

cos(C) × 40 = 32

tan(C) = sin(C)/cos(C) = (sin(C)×40)/(cos(C)×40) = 24/32

= 3/4

fit the second way imagine a circle with the center again in point C and going through point B.

the radius of that circle is 32 (BC).

here now tan(C) × 32 = 24 (AB).

yes, AB would in that scenario be directly tan(C), but it is multiplied by the radius.

so, to get the "pure" tan(C), we need to divide this length by the radius.

=> 24 / 32 = 3/4

Answer:

m<D = 26

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(5) - 4

30 - 4

26

Answer:

17 just multiply the like dot product of vectors

Answer:

Step-by-step explanation:

Answer:

(6,7)

Step-by-step explanation:

The great thing about rectangles is that they are super simple.  For the top right point, it is going to share an x-value with the bottom right vertex and and y-value with the top left.  This maintains the parallel lines that define a rectangle.  So just find the x coordinate of the bottom right vertex (6) and the y coordinate of the top left (7) and put them together: (6,7)

Answer:

Make me Brainliest

Step-by-step explanation:

=5*65-7

=325-7

=318