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3 years ago

What is the measure of angle z in this figure?

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

She is correct it is 56 sorry for answer late hope this helped have a great day :)

zzz [600]3 years ago

5 0

The line that is diagonal means that it will have a degree measure of 180( aka a straight diagonal line) therefore if you subtract 124 from 180, you will get angle z which is 56

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There are 120 students in class 7. it is known that 2 3 out of them like maths, out of which 35 are girls. also, out of total st

Bas_tet [7]

maths questions can be solved using unitary method.

Answer:

(a) The total number of girls in the class are 48

(b) The total number of students that like maths are 80

Solution:

According to the question, $\frac{3}{5}$ of total students are boys

number of boys = $\frac{3}{5}$ × 120 = 72

Also, According to the question, $\frac{2}{3}$ of total students like maths

number of students = $\frac{2}{3}$ × 120 =80

(a) The total number of girls in the class = total number of students - total number of boys

total number of girls in the class = 120 - 72 = 48

(b) The total number of students that like maths are 80

(c) The total number of boys like maths = total number of students that like maths - total number of girls that like maths

total number of boys like maths = 80 - 35 = 45

What is unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

know more about similar unitary method numericals

brainly.com/question/17092435

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5 0

2 years ago

F(x) = -3(x-1) find f(o).

navik [9.2K]

Answer:

f(0) = 3

Step-by-step explanation:

Step 1: Distribute

f(x) = -3x + 3

Step 2: Plug in

f(0) = -3(0) + 3

f(0) = 3

5 0

3 years ago

Read 2 more answers

When Ryan counted some dimes and quarters he had 196 coins and a total of $39.40. How many coins of each kind does Ryan have?

Nonamiya [84]

Quarters = x
dimes = 196 - x

10(196 - x) + 25x = 3940
1960 - 10x +25x = 3940
1960 + 15x = 3940
15x = 1980
x = 132

169 - 132 = 64

Therefor there are 132 quarters and 64 dimes

6 0

3 years ago

I need help finding both volume and surface area

Svetradugi [14.3K]

Answer:

Volume

For the rectangle, h = 3cm, l = 8cm, w = 6cm
V = length x width x height
V = 8cm x 6cm x 3cm
V = 144cm^3

For the semi circle, we need to find the radius. The radius is width/2, so 6cm/2 = 3cm. r = 3cm, $\pi$ = 3.14
V = radius^2 x height x $\pi$
V = 3cm^2 x 3cm x 3.14
V = 84.8 cm^3/2 (because the cylinder needs to be divided to form a semi-circle)
V= 42.4cm^3 (there are two cylinders though so we will multiply this by 2 in the total volume)

Total volume:
V = 144cm^3 + 42.4cm^3(2)
V = 186.4cm^3

Surface Area

Rectangular prism:
A = 2[w(l) + h(l) + h(w)]
A = 2[6cm(8cm) + 3cm(8cm) + 3cm(6cm)]
A = 180cm^2
But there are two sides that are covered by the semi-circular prisms, so we will have to calculate those sides and remove them.
A = l x w
A = 6cm x 3cm
A = 18cm^2(2) (2 being the two faces)
A = 36cm^2

A = 180cm^2 - 36cm^2
A = 144cm^2 (the area of the rectangle)

Semi-circular prism:
A = 2 $\pi$ rh + 2 $\pi$ r^2
Earlier, we found out that the radius of the circle is 3cm, so we will plug that in.
A = 2(3.14)(3cm)(3cm) + 2(3.14)(3cm)^2
A = 113.09cm^2

Total surface area:
A = 144cm^2 + 133.09cm^2
A = 277.09cm^2

Therefore the total volume of the prism is 186.4cm^3 and the total surface area is 277.09cm^2.

6 0

2 years ago

Express 2.6kg as a percentage of 6.5 kg

fredd [130]

2.6 * 100 / 6.5 = 40 %

4 0

3 years ago