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2 years ago

Find the volume of the triangular prism as pictured below with a = 7 cm, b = 4

Mathematics

1 answer:

nydimaria [60]2 years ago

3 0

Answer:

Step-by-step explanation:

Volume of triangular prism = Base Area × length of prism

Base area = ½*base*height

base = c = 3 cm

height = b = 4 cm

Base area = ½*3*4 = 6 cm²

Length of prism = d = 8 cm

Therefore,

Volume = 6 × 8 = 48 cm³

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What’s the missing angle ?

fomenos

Answer:

x=20

3x= 3(20)=60

4x= 4(20)=80

Step-by-step explanation:

The angles CD is 90 degrees because the small square indicates

it. Angles AD are a straight angle, therefore all the other angles within A to D, must equal 180 degree. (straight line/angle=180 degrees).

so AB + 70+ 90= 180 degrees

AB= 180 -70-90

AB=20

x=20

3x= 3(20)=60

4x= 4(20)=80

5 0

2 years ago

Read 2 more answers

Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on

Volgvan

Answer:

The height of the bullding is 717 ft

Step-by-step explanation:

Right Triangles

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

$\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

$\displaystyle \tan 82^\circ=\frac{h}{100}$

Solving for h:

$h = 100\tan 82^\circ$

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0

3 years ago

Matt and Anna Killian are frequent fliers on Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980

Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed) 40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:

speed plane (y) in direction A to B plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360 (1)

The return fly took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440 (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation (1) y + (-x) = 360 y - x = 360 y = 360 + x (1)

In the second equation

y + x = 440 then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x 360 + 2x = 440 or 2x = 440 – 360

x (440 - 360)/2

x = 40 miles/hr

X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1) y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0

3 years ago

The manager of a snack bar buys bottled water in packs of 35 and candy bars in packs of 20. Then, she sells the items individual

hoa [83]

Answer:

8 packs of bottled water and 14 packs of candy bars

Step-by-step explanation:

Provided,

Each pack of water bottles = 35 bottles

Each pack of candy = 20 candy

Since quantity of candy in each pack is small than quantity of water bottle in each pack, in order to have same quantity in numbers of both bottles and candies,

Purchase quantity of candy packs shall be more than the pack of water bottles.

Further, with this option 1 and 2 are not valid as candy packs are same or less than packs of water bottle.

In option 3 and 4, option 3 have smaller quantities as provided manager bought the least possible quantity.

Accordingly

Option 3

8 packs of water bottle = $8 \times 35 = 280 \ water\ bottles$