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ivolga24 [154]
3 years ago
6

A scale on a map shows that 2 inches = 25 miles.

Mathematics
2 answers:
Assoli18 [71]3 years ago
6 0
Part A : 60miles would represent 4.8 inches
Part B : 1/4 inch would represent 3 and 1/8 miles

Alexxandr [17]3 years ago
6 0
Parts A and B can be answered by the dimensional analysis using the given conversion factors.

Part A.  (60 miles) x (2 inches / 25 miles) = 4.8 inches

Part B. (0.25 inches) x (25 miles / 2 inches) = 6.25 miles. 
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Ainat [17]

Answer:

15

Step-by-step explanation:

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3 years ago
What is value of x? <br> See picture
morpeh [17]

Answer:

x = 71

Step-by-step explanation:

Since 2 sides of the triangle are congruent then the triangle is isosceles.

Thus the 2 base angles are congruent

The sum of the 3 angles in the triangle = 180°, so

x = \frac{180-38}{2} = \frac{142}{2} = 71

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3 years ago
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Which could be the area of one face of the triangular prism? Select three options.
katovenus [111]

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

<u>Triangular face</u>

Height of the Triangle=6 Units

Base of the Triangle=8 Units

Area of the Triangular Face

=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units

<u>Rectangular Faces</u>

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

From the options, the areas are:

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4 0
3 years ago
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A rhombus has four 6-inch sides and two 120-degree angles. From one of the vertices of the obtuse angles, the two latitudes are
nikitadnepr [17]

Answer:

Area(A)=Area(C)= 9 in^{2}

Area(B)=13.2 in^{2}

Step-by-step explanation:

We begin with finding the angles a and b that from the drawing attached you can see that a=b.

Now, the sum of the internal angles of a rhomboid is equal to 360 degrees, with that we have:

120+120+a+b=360

240+2a=360

2a=120

a=60=b

Next, in the image you can see that the lines coming from the angle at the top 120 degrees vertex, divide the opposite sides by half, thus making two triangles with one side of 6 in and another of 3 in.

We can say from the drawing as well:

Area(A)+Area(B)+Area(C)=Area(rhomboid)

But, we can also say that Area(A)=Area(C)

So, starting with Area(A)

Area(A)=Area(triangle)=\frac{b*h}{2}=\frac{6*3}{2}=9 in^{2}

We can then calculate the area B, a rhomboid, or better, take the Total area of the figure and subtract the area of the two triangles.

Area(B)=Area(rhomboid)-Area(A)-Area(C)

Area(rhomboid)=b*h where b=6in and h is the perpendicular distance from the base to the top.

h=[tex]6*cos(30)=5.20in   The 30 degrees come from: 120-30-60=30, since the latitudes split the 120 angle in two equal parts and one that is the half of the obtuse angle.

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Area(B)=Area(rhomboid)-Area(A)-Area(C)=31.2 in^{2}-9 in^{2}-9 in^{2}=13.2 in^{2}

3 0
3 years ago
Roud to the neares tenth 8.54
Rudik [331]
8.5
the tenth is the first digit behind the dot. 4 rounds down so the 5 stays a 5
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3 years ago
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