Answer:
(5) The perpendicular height of the triangle is 8.48 mm.
(6) The 1184.86 cm far up the wall the ladder reach.
Step-by-step explanation:
Part (5):
When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.
The figures is shown below.
In ΔABC,
CB = 6 mm
So,
CD = BD = 3 mm
Now calculating the perpendicular height of the triangle.
Using Pythagoras theorem in ΔADC:
Thus, the perpendicular height of the triangle is 8.48 mm.
Part (6):
The figure is shown below.
Converting meter to centimeter:
1 m = 100 cm
So,
12 m = 1200 cm
Using Pythagoras theorem in ΔXYZ:
Thus, 1184.86 cm far up the wall the ladder reach.
Answer:
D :)
Step-by-step explanation:
Hi there! 3 feet = 1 yard, 12 inches = 1 foot and 36 inches = 1 yard. All we have to do is change them up into different units by doing a bit of multiplication, division, maybe mental math, and even proportions if you know how to do them. Regardless on what you do, if you do it correctly, here are what your answers should be for each unit.
Inches
Carol: 42 inches
Tino: 30 inches
Baxter: 54 inches
Feet:
Carol: 3.5 feet
Tino: 2.5 feet
Baxter: 4.5 feet
Yards:
Carol: 1 1/6 yards
Tino: 5/6 yards
Baxter: 1 1/2 yards
First let's find how many total ounces it would be by multiplying 16 ounces by the number of mugs (26).
16 × 26 = 416
So she needs 416 ounces of coffee. Now we have to convert ounces to quarts. We need to know that there are 32 ounces per quart. So to find quarts we divide 416 ounces by 32...
416 ÷ 32 = 13 quarts
*FYI- since the mugs hold 16 ounces we can see that 16 is half of 32 so we could have just taken 1/2 of 26 mugs which is 13.
