Answer:
b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.
Step-by-step explanation:
With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.
So in this case:
The original leg's length is 8 mm. Side b will be that 8 times √3.
So, b = 8√3 mm.
Side a will be 8 times 2.
So, a = 16 mm.
With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.
So in this case:
The original leg's length is 5 ft. Side x will be that same length.
So, x = 5 ft.
Side y will be 5 times √2.
So, y = 5√2 ft.
Answer:
A: 124 in
D: 2 yd 52 in
E: 10 ft 4 in
Step-by-step explanation:
we know that
1 ft=12 in
1 yd=36 in
we have
3 yd 16 in
Convert to inches
3 yd 16 in=3(36)+16=124 in
<em>Verify each case</em>
case A) 124 in
124 in=124 in ------> is true
therefore
124 in is equal to 3 yd 16 in
case B) 4 yd 4 in
Convert to inches
4 yd 4 in=4(36)+4=148 in
124 in=148 in ------> is not true
therefore
4 yd 4 in is not equal to 3 yd 16 in
case C) 3 yd 1 1/2 ft
Convert to inches
3 yd 1 1/2 ft=3(36)+1.5(12)=126 in
124 in=126 in ------> is not true
therefore
3 yd 1 1/2 ft is not equal to 3 yd 16 in
case D) 2 yd 52 in
Convert to inches
2 yd 52 in=2(36)+52=124 in
124 in=124 in ------> is true
therefore
2 yd 52 in is equal to 3 yd 16 in
case E) 10 ft 4 in
Convert to inches
10 ft 4 in=10(12)+4=124 in
124 in=124 in ------> is true
therefore
10 ft 4 in in is equal to 3 yd 16 in
The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope that is undefined, and the graph of x = 1/6 is a vertical line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope that is undefined, and the graph of x =1/6 is a horizontal line with a slope of 0.
The lines are perpendicular to each other because the graph of y = –6 is a vertical line with a slope of 0, and the graph of x =1/6 is a horizontal line with a slope that is undefined.
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The lines are perpendicular to each other because the graph of y = –6 is a horizontal line with a slope of 0, and the graph of x =1/6 is a vertical line with a slope that is undefined.
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<em><u>Two</u></em> of the four statements that Ana wrote are <em><u>correct</u></em>. Number 1, "AB is a diameter" is incorrect, and so is number 3, "SQ = 12 cm". AB is not a diameter because it is instead a chord. "ST , SP and SQ are radii" is correct because they are straight lines from the center of the circle to the circumference of the circle, which is the exact definition of radius. The third statemet is incorrect because since ST is a radius and it equals 6, that means all radii are equal to 6. SQ is a radius of circle S, so it should also equal 6, not 12. The last statement is correct because PQ is a diameter of circle S. By rule, the diameter is always equal to double of the radius. The radius is 6, so 6 x 2= 12.
Answer:
Number of births to women below 22 years of age: 830
% of births occurred to women of age between 34 and 36: 6.35%
Step-by-step explanation:
There are two parts to this question:
To calculate the number of births, we look at the histogram below.
We see that each bar has a number on top, suggesting that particular for the age limit. Number of births to women below age of 22, we start adding all numbers below the mark of 22 on x-axis:
⇒ 39+134+29+363 = 830
To calculate the percentage, we divide the number of births in that particular interval by total number of births and then multiply by 100.
To calculate the total number of births, we add all the numbers on the top of the bars:
⇒ 39+ 134+294+363+391+425+460+474+432+343+250+163+98+49+17+4+1 Total births = 3937
