Given the following diagram, find the measures of ZA and ZB.
B (2x + 4)
(3x - 13)
116°
с
A
The value of ZA is
The value of ZB is

The measure of ∠H in the ΔHIJ to the nearest tenth is 18.4 ft.

Right angle triangle are triangles that have one of its angles as 90 degrees. The sides can be found using trigonometric ratios. Therefore, the measure of ∠H can be found as follows:

tan ∠H = opposite / adjacent

tan ∠H = 3.2 / 9.6

Therefore,

∠H = tan⁻¹ 0.33333333333

∠H = 18.434948651

∠H = 18.4 ft

Therefore, the value of ∠H to the nearest tenth is 18.4 ft

learn more on right angle triangle here: https://brainly.com/question/15634457

Answer:

Option C

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Answer:

[tex](a)[/tex] [tex]Length= 3cm[/tex]   [tex]Width = 6cm[/tex]   [tex]Area = 24cm^2[/tex]

[tex](b)[/tex] [tex]Length= 3cm[/tex]   [tex]Width = 8cm[/tex]     [tex]Area= 24cm^2[/tex]

Step-by-step explanation:

Given

See attachment for rectangle

Solving (a):

From the first rectangle, there are 6 columns and 3 rows.

This implies that:

[tex]Length= 3cm[/tex]

[tex]Width = 6cm[/tex]

So, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = 3cm * 6cm[/tex]

[tex]Area = 18cm^2[/tex]

Solving (a):

From the first rectangle, there are 3 rows and the total area is 24.

This implies that:

[tex]Length= 3cm[/tex]

[tex]Area= 24cm^2[/tex]

Area is:

[tex]Area = Length * Width[/tex]

[tex]24cm^2= 3cm * Width[/tex]

Make Width the subject

[tex]Width = \frac{24cm^2}{3cm}[/tex]

[tex]Width = 8cm[/tex]

Answer:

C2/ 4π

Step-by-step explanation:

Answer:

Stefan spent $120 originally

He made $24 dollars by selling the bicycle and helmet to Jin

Step-by-step explanation:

First, find the total cost:

127 + 17

= 144

To find the original cost, divide this by 1.2

144/1.2

= 120

So, Stefan spent $120 originally.

Now, find how much he made by subtracting 120 from 144:

144 - 120

= 24

So, he made $24 dollars by selling the bicycle and helmet to Jin.

Answer:

f(x) = x³ - 2x² - 19x + 20

Step-by-step explanation:

Given a polynomial with zeros x = a, x = b then the corresponding factors are

(x - a)(x - b) and the polynomial is then the product of the factors

Given zeros x = 5, x = - 4, x = 1 , then

(x - 5), (x + 4) and (x - 1) are the factors, then

f(x) = (x - 5)(x + 4)(x - 1) ← expand the first pair of factors using FOIL

     = (x² - x - 20)(x - 1) ← distribute

     = x³ - x² - 20x - x² + x + 20 ← collect like terms

     = x³ - 2x² - 19x + 20

Answer:

Lets say h is the horses speed. It would be H [tex]\leq[/tex]4

Answer:

She made 32 free throw shots.

Step-by-step explanation:

Based on the given information, one can form the general equation;

[tex]\frac{made}{missed}[/tex]

Substitute in the given values;

[tex]\frac{4}{3}[/tex]

Assuming that the rates at which this proportion exists is constant, and one knows the number she missed, but not the number she made then one can say;

[tex]\frac{made}{missed}= \frac{4}{3} = \frac{made}{24}[/tex]

Solve the proportion using cross products;

[tex]\frac{4}{3}=\frac{made}{24}\\\\\\(4)(24)=(3)(made)\\\\96=3made[/tex]

Inverse operations,

[tex]96=3made\\/3\\\\32=made[/tex]

Answer:

32 free throws

Step-by-step explanation:

Answer:

P=75.922 ≈ 76

∘Step-by-step explanation:

What function uses the ADJACENT and the HYPOTENUSE?

SOH-CAH-TOA

cos P = adjacent/hypotenuse= 1.8/7.4

Pcos^-1 = (1.8/ 7.4)

​

P=75.922 ≈ 76

Answer:

qfvgàwq sewaro kámí leotaní

Answer:

Step-by-step explanation:

6-5-3-2-#-a= ?

Answer:

I think it may be 120 cm

Step-by-step explanation:

A F is 13 using pythagorean theorem on triangle CED and applying the hypotenuse length to A F.

ABC is similar to triangle CED and is dilated by a factor of 3  so the base is 36.

using pythagorean theorem on triangle ABC gets the hypotenuse length of 39 which can be applied to FE

add all the values together

39 + 13 + 15 + 36 +12 +5 = 120

Answer:

By definition, atoms have no overall electrical charge. That means that there must be a balance between the positively charged protons and the negatively charged electrons. Atoms must have equal numbers of protons and electrons. In our example, an atom of krypton must contain 36 electrons since it contains 36 protons.

Answer:

Step-by-step explanation:

The 2 trains will pass each other in 2 hours because 80mph+60mph=140mph

You take 140x2=280

They will pass each other at 5:00

Answer:

Tank which is capable of holding 1 can fill each one of the tanks an exact number of time.

Step-by-step explanation:

Three tanks are capable of holding [tex]361,841,901[/tex]

To find which tank can be used to fill each one of them an exact number of time, find [tex]HCF(361,841,901)[/tex]

[tex]361=19^2\\841=29^2\\901=17(53)[/tex]

Therefore,

[tex]HCF(361,841,901)=1[/tex]

So, tank which is capable of holding 1 can fill each one of the tanks an exact number of time.

Answer:

AAA test

Step-by-step explanation:

AAA is not test of similarity

Answer:

-16/65

Step-by-step explanation:

Given sinα = 3/5 in quadrant 1;

Since  sinα = opp/hyp

opp = 3

hyp = 5

adj^2 = hyp^2 - opp^2

adj^2 = 5^2 = 3^2

adj^2 = 25-9

adj^2 = 16

adj = 4

Since all the trig identity are positive in Quadrant 1, hence;

cosα = adj/hyp = 4/5

Similarly, if tanβ = 5/12 in Quadrant III,

According to trig identity

tan theta = opp/adj

opp = 5

adj = 12

hyp^2 = opp^2+adj^2

hyp^2 = 5^2+12^2

hyp^2 = 25+144

hyp^2 = 169

hyp = 13

Since only tan is positive in Quadrant III, then;

sinβ = -5/13

cosβ = -12/13

Get the required expression;

sin(α - β) = sinαcosβ - cosαsinβ

Substitute the given values

sin(α - β) = 3/5(-12/13) - 4/5(-5/13)

sin(α - β)= -36/65 + 20/65

sin(α - β) = -16/65

Hence the value of sin(α - β) is -16/65

Answer:

∠x = 50°

Step-by-step explanation:

arc opposite angle x = 130°    (360° - 30° - 100° - 100° = 130°)

∠x = 1/2(130 - 30)              (angles formed by secants theorem)

∠x = 50°

Answer:

For data set one: 10

For data set two: 12

Step-by-step explanation:

I hope this helped sorry if it is wrong

Answer:

(9)3v^4+7v^3-2

Step-by-step explanation:

First open brackets

Then group like terms

and work it out

Step-by-step explanation:

a) There's a mistake at the third step from the beginning.

b) Instead of adding 25 , Josh added 100. While solving an equation using "Completing Squares Method" , we need to write the L.H.S. in the form of  [tex]a^{2} + 2ab + b^{2}[/tex]  or  [tex]a^{2} - 2ab + b^{2}[/tex] , so that in the next step it can be converted into [tex](a + b)^{2}[/tex] or [tex](a - b)^{2}[/tex].

c) [tex]x^{2} + 10x - 88 = 8[/tex]

Taking -88 to R.H.S. , it's sign changes and becomes +88.

[tex]=> x^2 + 10x = 88 + 8 = 96[/tex]

Using "Completing Squares Method" , L.H.S.  can be written as :-

[tex](x)^{2} + 2 \times x \times 5 + (5)^{2} = 96 + (5)^{2}[/tex]

[tex]=> (x + 5)^{2} = 96 + 25 = 121[/tex]

[tex]=> x + 5 = \sqrt{121} = -11 \: or +11[/tex]

[tex]=> x = +6 \: or -16[/tex]

On day 15 you would have made 32,768 dollars, which surpasses the price of the car by 12,768 dollars

Answer:

The surface area A of a sphere:

A=4πr^2

r - the radius

r=30 m

A=4π×30 ^2 =4π×900=3600π [m ^2 ]

Surface area = 3600π [m ^2 ]

Answer:

She can crochet 4 inches per/ hour.

Step-by-step explanation:

So 2 hours would be 8 inches. 4 hours 12.  If you were looking for how many stiches, you would need the number of stiches